---
_id: '2332'
abstract:
- lang: eng
  text: We present a rigorous proof of the appearance of quantized vortices in dilute
    trapped Bose gases with repulsive two-body interactions subject to rotation, which
    was obtained recently in joint work with Elliott Lieb.14 Starting from the many-body
    Schrödinger equation, we show that the ground state of such gases is, in a suitable
    limit, well described by the nonlinear Gross-Pitaevskii equation. In the case
    of axially symmetric traps, our results show that the appearance of quantized
    vortices causes spontaneous symmetry breaking in the ground state.
author:
- first_name: Robert
  full_name: Robert Seiringer
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: 'Seiringer R. Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases.
    In: World Scientific Publishing; 2008:241-254. doi:<a href="https://doi.org/10.1142/9789812832382_0017">10.1142/9789812832382_0017</a>'
  apa: 'Seiringer, R. (2008). Vortices and Spontaneous Symmetry Breaking in Rotating
    Bose Gases (pp. 241–254). Presented at the QMath: Mathematical Results in Quantum
    Physics, World Scientific Publishing. <a href="https://doi.org/10.1142/9789812832382_0017">https://doi.org/10.1142/9789812832382_0017</a>'
  chicago: Seiringer, Robert. “Vortices and Spontaneous Symmetry Breaking in Rotating
    Bose Gases,” 241–54. World Scientific Publishing, 2008. <a href="https://doi.org/10.1142/9789812832382_0017">https://doi.org/10.1142/9789812832382_0017</a>.
  ieee: 'R. Seiringer, “Vortices and Spontaneous Symmetry Breaking in Rotating Bose
    Gases,” presented at the QMath: Mathematical Results in Quantum Physics, 2008,
    pp. 241–254.'
  ista: 'Seiringer R. 2008. Vortices and Spontaneous Symmetry Breaking in Rotating
    Bose Gases. QMath: Mathematical Results in Quantum Physics, 241–254.'
  mla: Seiringer, Robert. <i>Vortices and Spontaneous Symmetry Breaking in Rotating
    Bose Gases</i>. World Scientific Publishing, 2008, pp. 241–54, doi:<a href="https://doi.org/10.1142/9789812832382_0017">10.1142/9789812832382_0017</a>.
  short: R. Seiringer, in:, World Scientific Publishing, 2008, pp. 241–254.
conference:
  name: 'QMath: Mathematical Results in Quantum Physics'
date_created: 2018-12-11T11:57:02Z
date_published: 2008-12-30T00:00:00Z
date_updated: 2021-01-12T06:56:50Z
day: '30'
doi: 10.1142/9789812832382_0017
extern: 1
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0801.0427
month: '12'
oa: 1
page: 241 - 254
publication_status: published
publisher: World Scientific Publishing
publist_id: '4594'
quality_controlled: 0
status: public
title: Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases
type: conference
year: '2008'
...
---
_id: '2374'
abstract:
- lang: eng
  text: A lower bound is derived on the free energy (per unit volume) of a homogeneous
    Bose gas at density Q and temperature T. In the dilute regime, i.e., when a3 1,
    where a denotes the scattering length of the pair-interaction potential, our bound
    differs to leading order from the expression for non-interacting particles by
    the term 4πa(2 2}-[ - c]2+). Here, c(T) denotes the critical density for Bose-Einstein
    condensation (for the non-interacting gas), and [ · ]+ = max{ ·, 0} denotes the
    positive part. Our bound is uniform in the temperature up to temperatures of the
    order of the critical temperature, i.e., T ~ 2/3 or smaller. One of the key ingredients
    in the proof is the use of coherent states to extend the method introduced in
    [17] for estimating correlations to temperatures below the critical one.
author:
- first_name: Robert
  full_name: Robert Seiringer
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: 'Seiringer R. Free energy of a dilute Bose gas: Lower bound. <i>Communications
    in Mathematical Physics</i>. 2008;279(3):595-636. doi:<a href="https://doi.org/10.1007/s00220-008-0428-2">10.1007/s00220-008-0428-2</a>'
  apa: 'Seiringer, R. (2008). Free energy of a dilute Bose gas: Lower bound. <i>Communications
    in Mathematical Physics</i>. Springer. <a href="https://doi.org/10.1007/s00220-008-0428-2">https://doi.org/10.1007/s00220-008-0428-2</a>'
  chicago: 'Seiringer, Robert. “Free Energy of a Dilute Bose Gas: Lower Bound.” <i>Communications
    in Mathematical Physics</i>. Springer, 2008. <a href="https://doi.org/10.1007/s00220-008-0428-2">https://doi.org/10.1007/s00220-008-0428-2</a>.'
  ieee: 'R. Seiringer, “Free energy of a dilute Bose gas: Lower bound,” <i>Communications
    in Mathematical Physics</i>, vol. 279, no. 3. Springer, pp. 595–636, 2008.'
  ista: 'Seiringer R. 2008. Free energy of a dilute Bose gas: Lower bound. Communications
    in Mathematical Physics. 279(3), 595–636.'
  mla: 'Seiringer, Robert. “Free Energy of a Dilute Bose Gas: Lower Bound.” <i>Communications
    in Mathematical Physics</i>, vol. 279, no. 3, Springer, 2008, pp. 595–636, doi:<a
    href="https://doi.org/10.1007/s00220-008-0428-2">10.1007/s00220-008-0428-2</a>.'
  short: R. Seiringer, Communications in Mathematical Physics 279 (2008) 595–636.
date_created: 2018-12-11T11:57:17Z
date_published: 2008-05-01T00:00:00Z
date_updated: 2021-01-12T06:57:06Z
day: '01'
doi: 10.1007/s00220-008-0428-2
extern: 1
intvolume: '       279'
issue: '3'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math-ph/0608069
month: '05'
oa: 1
page: 595 - 636
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4551'
quality_controlled: 0
status: public
title: 'Free energy of a dilute Bose gas: Lower bound'
type: journal_article
volume: 279
year: '2008'
...
---
_id: '2376'
abstract:
- lang: eng
  text: We derive upper and lower bounds on the critical temperature Tc and the energy
    gap Ξ (at zero temperature) for the BCS gap equation, describing spin- 1 2 fermions
    interacting via a local two-body interaction potential λV(x). At weak coupling
    λ 1 and under appropriate assumptions on V(x), our bounds show that Tc ∼A exp(-B/λ)
    and Ξ∼C exp(-B/λ) for some explicit coefficients A, B, and C depending on the
    interaction V(x) and the chemical potential μ. The ratio A/C turns out to be a
    universal constant, independent of both V(x) and μ. Our analysis is valid for
    any μ; for small μ, or low density, our formulas reduce to well-known expressions
    involving the scattering length of V(x).
author:
- first_name: Christian
  full_name: Hainzl, Christian
  last_name: Hainzl
- first_name: Robert
  full_name: Robert Seiringer
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Hainzl C, Seiringer R. Critical temperature and energy gap for the BCS equation.
    <i>Physical Review B - Condensed Matter and Materials Physics</i>. 2008;77(18).
    doi:<a href="https://doi.org/10.1103/PhysRevB.77.184517">10.1103/PhysRevB.77.184517</a>
  apa: Hainzl, C., &#38; Seiringer, R. (2008). Critical temperature and energy gap
    for the BCS equation. <i>Physical Review B - Condensed Matter and Materials Physics</i>.
    American Physical Society. <a href="https://doi.org/10.1103/PhysRevB.77.184517">https://doi.org/10.1103/PhysRevB.77.184517</a>
  chicago: Hainzl, Christian, and Robert Seiringer. “Critical Temperature and Energy
    Gap for the BCS Equation.” <i>Physical Review B - Condensed Matter and Materials
    Physics</i>. American Physical Society, 2008. <a href="https://doi.org/10.1103/PhysRevB.77.184517">https://doi.org/10.1103/PhysRevB.77.184517</a>.
  ieee: C. Hainzl and R. Seiringer, “Critical temperature and energy gap for the BCS
    equation,” <i>Physical Review B - Condensed Matter and Materials Physics</i>,
    vol. 77, no. 18. American Physical Society, 2008.
  ista: Hainzl C, Seiringer R. 2008. Critical temperature and energy gap for the BCS
    equation. Physical Review B - Condensed Matter and Materials Physics. 77(18).
  mla: Hainzl, Christian, and Robert Seiringer. “Critical Temperature and Energy Gap
    for the BCS Equation.” <i>Physical Review B - Condensed Matter and Materials Physics</i>,
    vol. 77, no. 18, American Physical Society, 2008, doi:<a href="https://doi.org/10.1103/PhysRevB.77.184517">10.1103/PhysRevB.77.184517</a>.
  short: C. Hainzl, R. Seiringer, Physical Review B - Condensed Matter and Materials
    Physics 77 (2008).
date_created: 2018-12-11T11:57:18Z
date_published: 2008-05-28T00:00:00Z
date_updated: 2021-01-12T06:57:06Z
day: '28'
doi: 10.1103/PhysRevB.77.184517
extern: 1
intvolume: '        77'
issue: '18'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0801.4159
month: '05'
oa: 1
publication: Physical Review B - Condensed Matter and Materials Physics
publication_status: published
publisher: American Physical Society
publist_id: '4550'
quality_controlled: 0
status: public
title: Critical temperature and energy gap for the BCS equation
type: journal_article
volume: 77
year: '2008'
...
---
_id: '2377'
abstract:
- lang: eng
  text: We prove that the critical temperature for the BCS gap equation is given by
    T c = μ ( 8\π e γ-2+ o(1)) e π/(2μa) in the low density limit μ→ 0, with γ denoting
    Euler's constant. The formula holds for a suitable class of interaction potentials
    with negative scattering length a in the absence of bound states.
author:
- first_name: Christian
  full_name: Hainzl, Christian
  last_name: Hainzl
- first_name: Robert
  full_name: Robert Seiringer
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Hainzl C, Seiringer R. The BCS critical temperature for potentials with negative
    scattering length. <i>Letters in Mathematical Physics</i>. 2008;84(2-3):99-107.
    doi:<a href="https://doi.org/10.1007/s11005-008-0242-y">10.1007/s11005-008-0242-y</a>
  apa: Hainzl, C., &#38; Seiringer, R. (2008). The BCS critical temperature for potentials
    with negative scattering length. <i>Letters in Mathematical Physics</i>. Springer.
    <a href="https://doi.org/10.1007/s11005-008-0242-y">https://doi.org/10.1007/s11005-008-0242-y</a>
  chicago: Hainzl, Christian, and Robert Seiringer. “The BCS Critical Temperature
    for Potentials with Negative Scattering Length.” <i>Letters in Mathematical Physics</i>.
    Springer, 2008. <a href="https://doi.org/10.1007/s11005-008-0242-y">https://doi.org/10.1007/s11005-008-0242-y</a>.
  ieee: C. Hainzl and R. Seiringer, “The BCS critical temperature for potentials with
    negative scattering length,” <i>Letters in Mathematical Physics</i>, vol. 84,
    no. 2–3. Springer, pp. 99–107, 2008.
  ista: Hainzl C, Seiringer R. 2008. The BCS critical temperature for potentials with
    negative scattering length. Letters in Mathematical Physics. 84(2–3), 99–107.
  mla: Hainzl, Christian, and Robert Seiringer. “The BCS Critical Temperature for
    Potentials with Negative Scattering Length.” <i>Letters in Mathematical Physics</i>,
    vol. 84, no. 2–3, Springer, 2008, pp. 99–107, doi:<a href="https://doi.org/10.1007/s11005-008-0242-y">10.1007/s11005-008-0242-y</a>.
  short: C. Hainzl, R. Seiringer, Letters in Mathematical Physics 84 (2008) 99–107.
date_created: 2018-12-11T11:57:19Z
date_published: 2008-06-01T00:00:00Z
date_updated: 2021-01-12T06:57:07Z
day: '01'
doi: 10.1007/s11005-008-0242-y
extern: 1
intvolume: '        84'
issue: 2-3
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0803.3324
month: '06'
oa: 1
page: 99 - 107
publication: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4548'
quality_controlled: 0
status: public
title: The BCS critical temperature for potentials with negative scattering length
type: journal_article
volume: 84
year: '2008'
...
---
_id: '2378'
abstract:
- lang: eng
  text: We derive a lower bound on the ground state energy of the Hubbard model for
    given value of the total spin. In combination with the upper bound derived previously
    by Giuliani (J. Math. Phys. 48:023302, [2007]), our result proves that in the
    low density limit the leading order correction compared to the ground state energy
    of a non-interacting lattice Fermi gas is given by 8πaσ uσ d , where σ u(d) denotes
    the density of the spin-up (down) particles, and a is the scattering length of
    the contact interaction potential. This result extends previous work on the corresponding
    continuum model to the lattice case.
author:
- first_name: Robert
  full_name: Robert Seiringer
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
- first_name: Jun
  full_name: Yin, Jun
  last_name: Yin
citation:
  ama: Seiringer R, Yin J. Ground state energy of the low density hubbard model. <i>Journal
    of Statistical Physics</i>. 2008;131(6):1139-1154. doi:<a href="https://doi.org/10.1007/s10955-008-9527-x">10.1007/s10955-008-9527-x</a>
  apa: Seiringer, R., &#38; Yin, J. (2008). Ground state energy of the low density
    hubbard model. <i>Journal of Statistical Physics</i>. Springer. <a href="https://doi.org/10.1007/s10955-008-9527-x">https://doi.org/10.1007/s10955-008-9527-x</a>
  chicago: Seiringer, Robert, and Jun Yin. “Ground State Energy of the Low Density
    Hubbard Model.” <i>Journal of Statistical Physics</i>. Springer, 2008. <a href="https://doi.org/10.1007/s10955-008-9527-x">https://doi.org/10.1007/s10955-008-9527-x</a>.
  ieee: R. Seiringer and J. Yin, “Ground state energy of the low density hubbard model,”
    <i>Journal of Statistical Physics</i>, vol. 131, no. 6. Springer, pp. 1139–1154,
    2008.
  ista: Seiringer R, Yin J. 2008. Ground state energy of the low density hubbard model.
    Journal of Statistical Physics. 131(6), 1139–1154.
  mla: Seiringer, Robert, and Jun Yin. “Ground State Energy of the Low Density Hubbard
    Model.” <i>Journal of Statistical Physics</i>, vol. 131, no. 6, Springer, 2008,
    pp. 1139–54, doi:<a href="https://doi.org/10.1007/s10955-008-9527-x">10.1007/s10955-008-9527-x</a>.
  short: R. Seiringer, J. Yin, Journal of Statistical Physics 131 (2008) 1139–1154.
date_created: 2018-12-11T11:57:19Z
date_published: 2008-06-01T00:00:00Z
date_updated: 2021-01-12T06:57:07Z
day: '01'
doi: 10.1007/s10955-008-9527-x
extern: 1
intvolume: '       131'
issue: '6'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0712.2810
month: '06'
oa: 1
page: 1139 - 1154
publication: Journal of Statistical Physics
publication_status: published
publisher: Springer
publist_id: '4549'
quality_controlled: 0
status: public
title: Ground state energy of the low density hubbard model
type: journal_article
volume: 131
year: '2008'
...
---
_id: '2379'
author:
- first_name: Rupert
  full_name: Frank, Rupert L
  last_name: Frank
- first_name: Élliott
  full_name: Lieb, Élliott H
  last_name: Lieb
- first_name: Robert
  full_name: Robert Seiringer
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Frank R, Lieb É, Seiringer R. Hardy-Lieb-Thirring inequalities for fractional
    Schrödinger operators. <i>Journal of the American Mathematical Society</i>. 2008;21(4):925-950.
    doi:<a href="https://doi.org/10.1090/S0894-0347-07-00582-6">10.1090/S0894-0347-07-00582-6</a>
  apa: Frank, R., Lieb, É., &#38; Seiringer, R. (2008). Hardy-Lieb-Thirring inequalities
    for fractional Schrödinger operators. <i>Journal of the American Mathematical
    Society</i>. American Mathematical Society. <a href="https://doi.org/10.1090/S0894-0347-07-00582-6">https://doi.org/10.1090/S0894-0347-07-00582-6</a>
  chicago: Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Hardy-Lieb-Thirring
    Inequalities for Fractional Schrödinger Operators.” <i>Journal of the American
    Mathematical Society</i>. American Mathematical Society, 2008. <a href="https://doi.org/10.1090/S0894-0347-07-00582-6">https://doi.org/10.1090/S0894-0347-07-00582-6</a>.
  ieee: R. Frank, É. Lieb, and R. Seiringer, “Hardy-Lieb-Thirring inequalities for
    fractional Schrödinger operators,” <i>Journal of the American Mathematical Society</i>,
    vol. 21, no. 4. American Mathematical Society, pp. 925–950, 2008.
  ista: Frank R, Lieb É, Seiringer R. 2008. Hardy-Lieb-Thirring inequalities for fractional
    Schrödinger operators. Journal of the American Mathematical Society. 21(4), 925–950.
  mla: Frank, Rupert, et al. “Hardy-Lieb-Thirring Inequalities for Fractional Schrödinger
    Operators.” <i>Journal of the American Mathematical Society</i>, vol. 21, no.
    4, American Mathematical Society, 2008, pp. 925–50, doi:<a href="https://doi.org/10.1090/S0894-0347-07-00582-6">10.1090/S0894-0347-07-00582-6</a>.
  short: R. Frank, É. Lieb, R. Seiringer, Journal of the American Mathematical Society
    21 (2008) 925–950.
date_created: 2018-12-11T11:57:19Z
date_published: 2008-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:07Z
day: '01'
doi: 10.1090/S0894-0347-07-00582-6
extern: 1
intvolume: '        21'
issue: '4'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math/0610593
month: '01'
oa: 1
page: 925 - 950
publication: Journal of the American Mathematical Society
publication_status: published
publisher: American Mathematical Society
publist_id: '4546'
quality_controlled: 0
status: public
title: Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
type: journal_article
volume: 21
year: '2008'
...
---
_id: '2380'
abstract:
- lang: eng
  text: The Bardeen-Cooper-Schrieffer (BCS) functional has recently received renewed
    attention as a description of fermionic gases interacting with local pairwise
    interactions. We present here a rigorous analysis of the BCS functional for general
    pair interaction potentials. For both zero and positive temperature, we show that
    the existence of a non-trivial solution of the nonlinear BCS gap equation is equivalent
    to the existence of a negative eigenvalue of a certain linear operator. From this
    we conclude the existence of a critical temperature below which the BCS pairing
    wave function does not vanish identically. For attractive potentials, we prove
    that the critical temperature is non-zero and exponentially small in the strength
    of the potential.
author:
- first_name: Christian
  full_name: Hainzl, Christian
  last_name: Hainzl
- first_name: Eman
  full_name: Hamza, Eman
  last_name: Hamza
- first_name: Robert
  full_name: Robert Seiringer
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
- first_name: Jan
  full_name: Solovej, Jan P
  last_name: Solovej
citation:
  ama: Hainzl C, Hamza E, Seiringer R, Solovej J. The BCS functional for general pair
    interactions. <i>Communications in Mathematical Physics</i>. 2008;281(2):349-367.
    doi:<a href="https://doi.org/10.1007/s00220-008-0489-2">10.1007/s00220-008-0489-2</a>
  apa: Hainzl, C., Hamza, E., Seiringer, R., &#38; Solovej, J. (2008). The BCS functional
    for general pair interactions. <i>Communications in Mathematical Physics</i>.
    Springer. <a href="https://doi.org/10.1007/s00220-008-0489-2">https://doi.org/10.1007/s00220-008-0489-2</a>
  chicago: Hainzl, Christian, Eman Hamza, Robert Seiringer, and Jan Solovej. “The
    BCS Functional for General Pair Interactions.” <i>Communications in Mathematical
    Physics</i>. Springer, 2008. <a href="https://doi.org/10.1007/s00220-008-0489-2">https://doi.org/10.1007/s00220-008-0489-2</a>.
  ieee: C. Hainzl, E. Hamza, R. Seiringer, and J. Solovej, “The BCS functional for
    general pair interactions,” <i>Communications in Mathematical Physics</i>, vol.
    281, no. 2. Springer, pp. 349–367, 2008.
  ista: Hainzl C, Hamza E, Seiringer R, Solovej J. 2008. The BCS functional for general
    pair interactions. Communications in Mathematical Physics. 281(2), 349–367.
  mla: Hainzl, Christian, et al. “The BCS Functional for General Pair Interactions.”
    <i>Communications in Mathematical Physics</i>, vol. 281, no. 2, Springer, 2008,
    pp. 349–67, doi:<a href="https://doi.org/10.1007/s00220-008-0489-2">10.1007/s00220-008-0489-2</a>.
  short: C. Hainzl, E. Hamza, R. Seiringer, J. Solovej, Communications in Mathematical
    Physics 281 (2008) 349–367.
date_created: 2018-12-11T11:57:20Z
date_published: 2008-07-01T00:00:00Z
date_updated: 2021-01-12T06:57:08Z
day: '01'
doi: 10.1007/s00220-008-0489-2
extern: 1
intvolume: '       281'
issue: '2'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math-ph/0703086
month: '07'
oa: 1
page: 349 - 367
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4547'
quality_controlled: 0
status: public
title: The BCS functional for general pair interactions
type: journal_article
volume: 281
year: '2008'
...
---
_id: '2381'
abstract:
- lang: eng
  text: We determine the sharp constant in the Hardy inequality for fractional Sobolev
    spaces. To do so, we develop a non-linear and non-local version of the ground
    state representation, which even yields a remainder term. From the sharp Hardy
    inequality we deduce the sharp constant in a Sobolev embedding which is optimal
    in the Lorentz scale. In the appendix, we characterize the cases of equality in
    the rearrangement inequality in fractional Sobolev spaces.
author:
- first_name: Rupert
  full_name: Frank, Rupert L
  last_name: Frank
- first_name: Robert
  full_name: Robert Seiringer
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Frank R, Seiringer R. Non-linear ground state representations and sharp Hardy
    inequalities. <i>Journal of Functional Analysis</i>. 2008;255(12):3407-3430. doi:<a
    href="https://doi.org/10.1016/j.jfa.2008.05.015">10.1016/j.jfa.2008.05.015</a>
  apa: Frank, R., &#38; Seiringer, R. (2008). Non-linear ground state representations
    and sharp Hardy inequalities. <i>Journal of Functional Analysis</i>. Academic
    Press. <a href="https://doi.org/10.1016/j.jfa.2008.05.015">https://doi.org/10.1016/j.jfa.2008.05.015</a>
  chicago: Frank, Rupert, and Robert Seiringer. “Non-Linear Ground State Representations
    and Sharp Hardy Inequalities.” <i>Journal of Functional Analysis</i>. Academic
    Press, 2008. <a href="https://doi.org/10.1016/j.jfa.2008.05.015">https://doi.org/10.1016/j.jfa.2008.05.015</a>.
  ieee: R. Frank and R. Seiringer, “Non-linear ground state representations and sharp
    Hardy inequalities,” <i>Journal of Functional Analysis</i>, vol. 255, no. 12.
    Academic Press, pp. 3407–3430, 2008.
  ista: Frank R, Seiringer R. 2008. Non-linear ground state representations and sharp
    Hardy inequalities. Journal of Functional Analysis. 255(12), 3407–3430.
  mla: Frank, Rupert, and Robert Seiringer. “Non-Linear Ground State Representations
    and Sharp Hardy Inequalities.” <i>Journal of Functional Analysis</i>, vol. 255,
    no. 12, Academic Press, 2008, pp. 3407–30, doi:<a href="https://doi.org/10.1016/j.jfa.2008.05.015">10.1016/j.jfa.2008.05.015</a>.
  short: R. Frank, R. Seiringer, Journal of Functional Analysis 255 (2008) 3407–3430.
date_created: 2018-12-11T11:57:20Z
date_published: 2008-12-15T00:00:00Z
date_updated: 2021-01-12T06:57:08Z
day: '15'
doi: 10.1016/j.jfa.2008.05.015
extern: 1
intvolume: '       255'
issue: '12'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0803.0503
month: '12'
oa: 1
page: 3407 - 3430
publication: Journal of Functional Analysis
publication_status: published
publisher: Academic Press
publist_id: '4543'
quality_controlled: 0
status: public
title: Non-linear ground state representations and sharp Hardy inequalities
type: journal_article
volume: 255
year: '2008'
...
---
_id: '2382'
abstract:
- lang: eng
  text: We show that the Lieb-Liniger model for one-dimensional bosons with repulsive
    δ-function interaction can be rigorously derived via a scaling limit from a dilute
    three-dimensional Bose gas with arbitrary repulsive interaction potential of finite
    scattering length. For this purpose, we prove bounds on both the eigenvalues and
    corresponding eigenfunctions of three-dimensional bosons in strongly elongated
    traps and relate them to the corresponding quantities in the Lieb-Liniger model.
    In particular, if both the scattering length a and the radius r of the cylindrical
    trap go to zero, the Lieb-Liniger model with coupling constant g ∼ a/r 2 is derived.
    Our bounds are uniform in g in the whole parameter range 0 ≤ g ≤ ∞, and apply
    to the Hamiltonian for three-dimensional bosons in a spectral window of size ∼
    r -2 above the ground state energy.
author:
- first_name: Robert
  full_name: Robert Seiringer
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
- first_name: Jun
  full_name: Yin, Jun
  last_name: Yin
citation:
  ama: Seiringer R, Yin J. The Lieb-Liniger model as a limit of dilute bosons in three
    dimensions. <i>Communications in Mathematical Physics</i>. 2008;284(2):459-479.
    doi:<a href="https://doi.org/10.1007/s00220-008-0521-6">10.1007/s00220-008-0521-6</a>
  apa: Seiringer, R., &#38; Yin, J. (2008). The Lieb-Liniger model as a limit of dilute
    bosons in three dimensions. <i>Communications in Mathematical Physics</i>. Springer.
    <a href="https://doi.org/10.1007/s00220-008-0521-6">https://doi.org/10.1007/s00220-008-0521-6</a>
  chicago: Seiringer, Robert, and Jun Yin. “The Lieb-Liniger Model as a Limit of Dilute
    Bosons in Three Dimensions.” <i>Communications in Mathematical Physics</i>. Springer,
    2008. <a href="https://doi.org/10.1007/s00220-008-0521-6">https://doi.org/10.1007/s00220-008-0521-6</a>.
  ieee: R. Seiringer and J. Yin, “The Lieb-Liniger model as a limit of dilute bosons
    in three dimensions,” <i>Communications in Mathematical Physics</i>, vol. 284,
    no. 2. Springer, pp. 459–479, 2008.
  ista: Seiringer R, Yin J. 2008. The Lieb-Liniger model as a limit of dilute bosons
    in three dimensions. Communications in Mathematical Physics. 284(2), 459–479.
  mla: Seiringer, Robert, and Jun Yin. “The Lieb-Liniger Model as a Limit of Dilute
    Bosons in Three Dimensions.” <i>Communications in Mathematical Physics</i>, vol.
    284, no. 2, Springer, 2008, pp. 459–79, doi:<a href="https://doi.org/10.1007/s00220-008-0521-6">10.1007/s00220-008-0521-6</a>.
  short: R. Seiringer, J. Yin, Communications in Mathematical Physics 284 (2008) 459–479.
date_created: 2018-12-11T11:57:21Z
date_published: 2008-12-01T00:00:00Z
date_updated: 2021-01-12T06:57:08Z
day: '01'
doi: 10.1007/s00220-008-0521-6
extern: 1
intvolume: '       284'
issue: '2'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0709.4022
month: '12'
oa: 1
page: 459 - 479
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4544'
quality_controlled: 0
status: public
title: The Lieb-Liniger model as a limit of dilute bosons in three dimensions
type: journal_article
volume: 284
year: '2008'
...
---
_id: '2383'
abstract:
- lang: eng
  text: We study the relativistic electron-positron field at positive temperature
    in the Hartree-Fock approximation. We consider both the case with and without
    exchange terms, and investigate the existence and properties of minimizers. Our
    approach is non-perturbative in the sense that the relevant electron subspace
    is determined in a self-consistent way. The present work is an extension of previous
    work by Hainzl, Lewin, Séré and Solovej where the case of zero temperature was
    considered.
author:
- first_name: Christian
  full_name: Hainzl, Christian
  last_name: Hainzl
- first_name: Mathieu
  full_name: Lewin, Mathieu
  last_name: Lewin
- first_name: Robert
  full_name: Robert Seiringer
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Hainzl C, Lewin M, Seiringer R. A nonlinear model for relativistic electrons
    at positive temperature. <i>Reviews in Mathematical Physics</i>. 2008;20(10):1283-1307.
    doi:<a href="https://doi.org/10.1142/S0129055X08003547">10.1142/S0129055X08003547</a>
  apa: Hainzl, C., Lewin, M., &#38; Seiringer, R. (2008). A nonlinear model for relativistic
    electrons at positive temperature. <i>Reviews in Mathematical Physics</i>. World
    Scientific Publishing. <a href="https://doi.org/10.1142/S0129055X08003547">https://doi.org/10.1142/S0129055X08003547</a>
  chicago: Hainzl, Christian, Mathieu Lewin, and Robert Seiringer. “A Nonlinear Model
    for Relativistic Electrons at Positive Temperature.” <i>Reviews in Mathematical
    Physics</i>. World Scientific Publishing, 2008. <a href="https://doi.org/10.1142/S0129055X08003547">https://doi.org/10.1142/S0129055X08003547</a>.
  ieee: C. Hainzl, M. Lewin, and R. Seiringer, “A nonlinear model for relativistic
    electrons at positive temperature,” <i>Reviews in Mathematical Physics</i>, vol.
    20, no. 10. World Scientific Publishing, pp. 1283–1307, 2008.
  ista: Hainzl C, Lewin M, Seiringer R. 2008. A nonlinear model for relativistic electrons
    at positive temperature. Reviews in Mathematical Physics. 20(10), 1283–1307.
  mla: Hainzl, Christian, et al. “A Nonlinear Model for Relativistic Electrons at
    Positive Temperature.” <i>Reviews in Mathematical Physics</i>, vol. 20, no. 10,
    World Scientific Publishing, 2008, pp. 1283–307, doi:<a href="https://doi.org/10.1142/S0129055X08003547">10.1142/S0129055X08003547</a>.
  short: C. Hainzl, M. Lewin, R. Seiringer, Reviews in Mathematical Physics 20 (2008)
    1283–1307.
date_created: 2018-12-11T11:57:21Z
date_published: 2008-11-01T00:00:00Z
date_updated: 2021-01-12T06:57:09Z
day: '01'
doi: 10.1142/S0129055X08003547
extern: 1
intvolume: '        20'
issue: '10'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0802.4054
month: '11'
oa: 1
page: 1283 - 1307
publication: Reviews in Mathematical Physics
publication_status: published
publisher: World Scientific Publishing
publist_id: '4545'
quality_controlled: 0
status: public
title: A nonlinear model for relativistic electrons at positive temperature
type: journal_article
volume: 20
year: '2008'
...
---
_id: '2415'
alternative_title:
- Contemporary Mathematics
author:
- first_name: Uli
  full_name: Uli Wagner
  id: 36690CA2-F248-11E8-B48F-1D18A9856A87
  last_name: Wagner
  orcid: 0000-0002-1494-0568
citation:
  ama: 'Wagner U. k-Sets and k-facets. In: Goodman J, Pach J, Pollack R, eds. <i>Surveys
    on Discrete and Computational Geometry: Twenty Years Later</i>. Vol 453. American
    Mathematical Society; 2008:443-514. doi:<a href="https://doi.org/10.1090/conm/453">10.1090/conm/453</a>'
  apa: 'Wagner, U. (2008). k-Sets and k-facets. In J. Goodman, J. Pach, &#38; R. Pollack
    (Eds.), <i>Surveys on Discrete and Computational Geometry: Twenty Years Later</i>
    (Vol. 453, pp. 443–514). American Mathematical Society. <a href="https://doi.org/10.1090/conm/453">https://doi.org/10.1090/conm/453</a>'
  chicago: 'Wagner, Uli. “K-Sets and k-Facets.” In <i>Surveys on Discrete and Computational
    Geometry: Twenty Years Later</i>, edited by Jacob Goodman, János Pach, and Richard
    Pollack, 453:443–514. American Mathematical Society, 2008. <a href="https://doi.org/10.1090/conm/453">https://doi.org/10.1090/conm/453</a>.'
  ieee: 'U. Wagner, “k-Sets and k-facets,” in <i>Surveys on Discrete and Computational
    Geometry: Twenty Years Later</i>, vol. 453, J. Goodman, J. Pach, and R. Pollack,
    Eds. American Mathematical Society, 2008, pp. 443–514.'
  ista: 'Wagner U. 2008.k-Sets and k-facets. In: Surveys on Discrete and Computational
    Geometry: Twenty Years Later. Contemporary Mathematics, vol. 453, 443–514.'
  mla: 'Wagner, Uli. “K-Sets and k-Facets.” <i>Surveys on Discrete and Computational
    Geometry: Twenty Years Later</i>, edited by Jacob Goodman et al., vol. 453, American
    Mathematical Society, 2008, pp. 443–514, doi:<a href="https://doi.org/10.1090/conm/453">10.1090/conm/453</a>.'
  short: 'U. Wagner, in:, J. Goodman, J. Pach, R. Pollack (Eds.), Surveys on Discrete
    and Computational Geometry: Twenty Years Later, American Mathematical Society,
    2008, pp. 443–514.'
date_created: 2018-12-11T11:57:32Z
date_published: 2008-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:21Z
day: '01'
doi: 10.1090/conm/453
editor:
- first_name: Jacob
  full_name: Goodman, Jacob E
  last_name: Goodman
- first_name: János
  full_name: Pach, János
  last_name: Pach
- first_name: Richard
  full_name: Pollack, Richard
  last_name: Pollack
extern: 1
intvolume: '       453'
month: '01'
page: 443 - 514
publication: 'Surveys on Discrete and Computational Geometry: Twenty Years Later'
publication_status: published
publisher: American Mathematical Society
publist_id: '4510'
quality_controlled: 0
status: public
title: k-Sets and k-facets
type: book_chapter
volume: 453
year: '2008'
...
---
_id: '2432'
abstract:
- lang: eng
  text: We study the disk containment problem introduced by Neumann-Lara and Urrutia
    and its generalization to higher dimensions. We relate the problem to centerpoints
    and lower centerpoints of point sets. Moreover, we show that for any set of n
    points in ℝd, there is a subset A ⊆ S of size [d+3/2] such that any ball containing
    A contains at least roughly 4/5ed 3n points of S. This improves previous bounds
    for which the constant was exponentially small in d. We also consider a generalization
    of the planar disk containment problem to families of pseudodisks.
alternative_title:
- LNCS
author:
- first_name: Shakhar
  full_name: Smorodinsky, Shakhar
  last_name: Smorodinsky
- first_name: Marek
  full_name: Sulovský, Marek
  last_name: Sulovský
- first_name: Uli
  full_name: Uli Wagner
  id: 36690CA2-F248-11E8-B48F-1D18A9856A87
  last_name: Wagner
  orcid: 0000-0002-1494-0568
citation:
  ama: 'Smorodinsky S, Sulovský M, Wagner U. On center regions and balls containing
    many points. In: Vol 5092. Springer; 2008:363-373. doi:<a href="https://doi.org/10.1007/978-3-540-69733-6_36">10.1007/978-3-540-69733-6_36</a>'
  apa: 'Smorodinsky, S., Sulovský, M., &#38; Wagner, U. (2008). On center regions
    and balls containing many points (Vol. 5092, pp. 363–373). Presented at the COCOON:
    Conference on Computing and Combinatorics, Springer. <a href="https://doi.org/10.1007/978-3-540-69733-6_36">https://doi.org/10.1007/978-3-540-69733-6_36</a>'
  chicago: Smorodinsky, Shakhar, Marek Sulovský, and Uli Wagner. “On Center Regions
    and Balls Containing Many Points,” 5092:363–73. Springer, 2008. <a href="https://doi.org/10.1007/978-3-540-69733-6_36">https://doi.org/10.1007/978-3-540-69733-6_36</a>.
  ieee: 'S. Smorodinsky, M. Sulovský, and U. Wagner, “On center regions and balls
    containing many points,” presented at the COCOON: Conference on Computing and
    Combinatorics, 2008, vol. 5092, pp. 363–373.'
  ista: 'Smorodinsky S, Sulovský M, Wagner U. 2008. On center regions and balls containing
    many points. COCOON: Conference on Computing and Combinatorics, LNCS, vol. 5092,
    363–373.'
  mla: Smorodinsky, Shakhar, et al. <i>On Center Regions and Balls Containing Many
    Points</i>. Vol. 5092, Springer, 2008, pp. 363–73, doi:<a href="https://doi.org/10.1007/978-3-540-69733-6_36">10.1007/978-3-540-69733-6_36</a>.
  short: S. Smorodinsky, M. Sulovský, U. Wagner, in:, Springer, 2008, pp. 363–373.
conference:
  name: 'COCOON: Conference on Computing and Combinatorics'
date_created: 2018-12-11T11:57:38Z
date_published: 2008-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:27Z
day: '01'
doi: 10.1007/978-3-540-69733-6_36
extern: 1
intvolume: '      5092'
month: '01'
page: 363 - 373
publication_status: published
publisher: Springer
publist_id: '4482'
quality_controlled: 0
status: public
title: On center regions and balls containing many points
type: conference
volume: 5092
year: '2008'
...
---
_id: '2497'
abstract:
- lang: eng
  text: Cyclic nucleotide phosphodiesterase 10A (PDE10A) is a member of phosphodiesterase
    families that degrade cAMP and/or cGMP in distinct intracellular sites. PDE10A
    has a dual activity on hydrolysis of both cAMP and cGMP, and is prominently expressed
    in the striatum and the testis. Previous studies suggested that PDE10A is involved
    in regulation of locomotor activity and potentially related to psychosis, but
    concrete physiological roles of PDE10A remains elusive yet. In this study, we
    genetically inactivated PDE10A2, a prominent isoform of PDE10A in the brain, in
    mice, and demonstrate that PDE10A2 deficiency results in increased social interaction
    without any major influence on different other behaviors, along with increased
    levels of striatal cAMP. We also demonstrate that PDE10A2 is selectively distributed
    in medium spiny neurons, but not interneurons, of the striatal complex. Thus,
    our results establish a physiological role for PDE10A2 in regulating cAMP pathway
    and social interaction, and suggest that cAMP signaling cascade in striatal medium
    spiny neurons might be involved in regulating social interaction behavior in mice.
author:
- first_name: Hiromi
  full_name: Sano, Hiromi
  last_name: Sano
- first_name: Yumiko
  full_name: Nagai, Yumiko
  last_name: Nagai
- first_name: Tsuyoshi
  full_name: Miyakawa, Tsuyoshi
  last_name: Miyakawa
- first_name: Ryuichi
  full_name: Ryuichi Shigemoto
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
- first_name: Mineto
  full_name: Yokoi, Mineto
  last_name: Yokoi
citation:
  ama: Sano H, Nagai Y, Miyakawa T, Shigemoto R, Yokoi M. Increased social interaction
    in mice deficient of the striatal medium spiny neuron-specific phosphodiesterase
    10A2. <i>Journal of Neurochemistry</i>. 2008;105(2):546-556. doi:<a href="https://doi.org/10.1111/j.1471-4159.2007.05152.x">10.1111/j.1471-4159.2007.05152.x</a>
  apa: Sano, H., Nagai, Y., Miyakawa, T., Shigemoto, R., &#38; Yokoi, M. (2008). Increased
    social interaction in mice deficient of the striatal medium spiny neuron-specific
    phosphodiesterase 10A2. <i>Journal of Neurochemistry</i>. Wiley-Blackwell. <a
    href="https://doi.org/10.1111/j.1471-4159.2007.05152.x">https://doi.org/10.1111/j.1471-4159.2007.05152.x</a>
  chicago: Sano, Hiromi, Yumiko Nagai, Tsuyoshi Miyakawa, Ryuichi Shigemoto, and Mineto
    Yokoi. “Increased Social Interaction in Mice Deficient of the Striatal Medium
    Spiny Neuron-Specific Phosphodiesterase 10A2.” <i>Journal of Neurochemistry</i>.
    Wiley-Blackwell, 2008. <a href="https://doi.org/10.1111/j.1471-4159.2007.05152.x">https://doi.org/10.1111/j.1471-4159.2007.05152.x</a>.
  ieee: H. Sano, Y. Nagai, T. Miyakawa, R. Shigemoto, and M. Yokoi, “Increased social
    interaction in mice deficient of the striatal medium spiny neuron-specific phosphodiesterase
    10A2,” <i>Journal of Neurochemistry</i>, vol. 105, no. 2. Wiley-Blackwell, pp.
    546–556, 2008.
  ista: Sano H, Nagai Y, Miyakawa T, Shigemoto R, Yokoi M. 2008. Increased social
    interaction in mice deficient of the striatal medium spiny neuron-specific phosphodiesterase
    10A2. Journal of Neurochemistry. 105(2), 546–556.
  mla: Sano, Hiromi, et al. “Increased Social Interaction in Mice Deficient of the
    Striatal Medium Spiny Neuron-Specific Phosphodiesterase 10A2.” <i>Journal of Neurochemistry</i>,
    vol. 105, no. 2, Wiley-Blackwell, 2008, pp. 546–56, doi:<a href="https://doi.org/10.1111/j.1471-4159.2007.05152.x">10.1111/j.1471-4159.2007.05152.x</a>.
  short: H. Sano, Y. Nagai, T. Miyakawa, R. Shigemoto, M. Yokoi, Journal of Neurochemistry
    105 (2008) 546–556.
date_created: 2018-12-11T11:58:01Z
date_published: 2008-04-01T00:00:00Z
date_updated: 2021-01-12T06:57:50Z
day: '01'
doi: 10.1111/j.1471-4159.2007.05152.x
extern: 1
intvolume: '       105'
issue: '2'
month: '04'
page: 546 - 556
publication: Journal of Neurochemistry
publication_status: published
publisher: Wiley-Blackwell
publist_id: '4404'
quality_controlled: 0
status: public
title: Increased social interaction in mice deficient of the striatal medium spiny
  neuron-specific phosphodiesterase 10A2
type: journal_article
volume: 105
year: '2008'
...
---
_id: '1717'
abstract:
- lang: eng
  text: 'Two key processes are in the basis of morphogenesis: the spatial allocation
    of cell types in fields of naïve cells and the regulation of growth. Both are
    controlled by morphogens, which activate target genes in the growing tissue in
    a concentration-dependent manner. Thus the morphogen model is an intrinsically
    quantitative concept. However, quantitative studies were performed only in recent
    years on two morphogens: Bicoid and Decapentaplegic. This review covers quantitative
    aspects of the formation and precision of the Decapentaplegic morphogen gradient.
    The morphogen gradient concept is transitioning from a soft definition to a precise
    idea of what the gradient could really do.'
acknowledgement: This work was supported by the University of Geneva, Max Planck Society,
  VW, EU, SNF, and HFSP
author:
- first_name: Anna
  full_name: Anna Kicheva
  id: 3959A2A0-F248-11E8-B48F-1D18A9856A87
  last_name: Kicheva
  orcid: 0000-0003-4509-4998
- first_name: Marcos
  full_name: González-Gaitán, Marcos A
  last_name: González Gaitán
citation:
  ama: Kicheva A, González Gaitán M. The Decapentaplegic morphogen gradient a precise
    definition. <i>Current Opinion in Cell Biology</i>. 2008;20(2):137-143. doi:<a
    href="https://doi.org/10.1016/j.ceb.2008.01.008">10.1016/j.ceb.2008.01.008</a>
  apa: Kicheva, A., &#38; González Gaitán, M. (2008). The Decapentaplegic morphogen
    gradient a precise definition. <i>Current Opinion in Cell Biology</i>. Elsevier.
    <a href="https://doi.org/10.1016/j.ceb.2008.01.008">https://doi.org/10.1016/j.ceb.2008.01.008</a>
  chicago: Kicheva, Anna, and Marcos González Gaitán. “The Decapentaplegic Morphogen
    Gradient a Precise Definition.” <i>Current Opinion in Cell Biology</i>. Elsevier,
    2008. <a href="https://doi.org/10.1016/j.ceb.2008.01.008">https://doi.org/10.1016/j.ceb.2008.01.008</a>.
  ieee: A. Kicheva and M. González Gaitán, “The Decapentaplegic morphogen gradient
    a precise definition,” <i>Current Opinion in Cell Biology</i>, vol. 20, no. 2.
    Elsevier, pp. 137–143, 2008.
  ista: Kicheva A, González Gaitán M. 2008. The Decapentaplegic morphogen gradient
    a precise definition. Current Opinion in Cell Biology. 20(2), 137–143.
  mla: Kicheva, Anna, and Marcos González Gaitán. “The Decapentaplegic Morphogen Gradient
    a Precise Definition.” <i>Current Opinion in Cell Biology</i>, vol. 20, no. 2,
    Elsevier, 2008, pp. 137–43, doi:<a href="https://doi.org/10.1016/j.ceb.2008.01.008">10.1016/j.ceb.2008.01.008</a>.
  short: A. Kicheva, M. González Gaitán, Current Opinion in Cell Biology 20 (2008)
    137–143.
date_created: 2018-12-11T11:53:38Z
date_published: 2008-04-01T00:00:00Z
date_updated: 2021-01-12T06:52:44Z
day: '01'
doi: 10.1016/j.ceb.2008.01.008
extern: 1
intvolume: '        20'
issue: '2'
month: '04'
page: 137 - 143
publication: Current Opinion in Cell Biology
publication_status: published
publisher: Elsevier
publist_id: '5412'
quality_controlled: 0
status: public
title: The Decapentaplegic morphogen gradient a precise definition
type: journal_article
volume: 20
year: '2008'
...
---
_id: '1719'
abstract:
- lang: eng
  text: We study the mechanics of tissue growth via cell division and cell death (apoptosis).
    The rearrangements of cells can on large scales and times be captured by a continuum
    theory which describes the tissue as an effective viscous material with active
    stresses generated by cell division. We study the effects of anisotropies of cell
    division on cell rearrangements and show that average cellular trajectories exhibit
    anisotropic scaling behaviors. If cell division and apoptosis balance, there is
    no net growth, but for anisotropic cell division the tissue undergoes spontaneous
    shear deformations. Our description is relevant for the study of developing tissues
    such as the imaginal disks of the fruit fly Drosophila melanogaster, which grow
    anisotropically.
author:
- first_name: Thomas
  full_name: Bittig, Thomas
  last_name: Bittig
- first_name: Ortrud
  full_name: Wartlick, Ortrud
  last_name: Wartlick
- first_name: Anna
  full_name: Anna Kicheva
  id: 3959A2A0-F248-11E8-B48F-1D18A9856A87
  last_name: Kicheva
  orcid: 0000-0003-4509-4998
- first_name: Marcos
  full_name: González-Gaitárr, Marcos
  last_name: González Gaitárr
- first_name: Frank
  full_name: Julicher, Frank
  last_name: Julicher
citation:
  ama: Bittig T, Wartlick O, Kicheva A, González Gaitárr M, Julicher F. Dynamics of
    anisotropic tissue growth. <i>New Journal of Physics</i>. 2008;10. doi:<a href="https://doi.org/10.1088/1367-2630/10/6/063001">10.1088/1367-2630/10/6/063001</a>
  apa: Bittig, T., Wartlick, O., Kicheva, A., González Gaitárr, M., &#38; Julicher,
    F. (2008). Dynamics of anisotropic tissue growth. <i>New Journal of Physics</i>.
    IOP Publishing Ltd. <a href="https://doi.org/10.1088/1367-2630/10/6/063001">https://doi.org/10.1088/1367-2630/10/6/063001</a>
  chicago: Bittig, Thomas, Ortrud Wartlick, Anna Kicheva, Marcos González Gaitárr,
    and Frank Julicher. “Dynamics of Anisotropic Tissue Growth.” <i>New Journal of
    Physics</i>. IOP Publishing Ltd., 2008. <a href="https://doi.org/10.1088/1367-2630/10/6/063001">https://doi.org/10.1088/1367-2630/10/6/063001</a>.
  ieee: T. Bittig, O. Wartlick, A. Kicheva, M. González Gaitárr, and F. Julicher,
    “Dynamics of anisotropic tissue growth,” <i>New Journal of Physics</i>, vol. 10.
    IOP Publishing Ltd., 2008.
  ista: Bittig T, Wartlick O, Kicheva A, González Gaitárr M, Julicher F. 2008. Dynamics
    of anisotropic tissue growth. New Journal of Physics. 10.
  mla: Bittig, Thomas, et al. “Dynamics of Anisotropic Tissue Growth.” <i>New Journal
    of Physics</i>, vol. 10, IOP Publishing Ltd., 2008, doi:<a href="https://doi.org/10.1088/1367-2630/10/6/063001">10.1088/1367-2630/10/6/063001</a>.
  short: T. Bittig, O. Wartlick, A. Kicheva, M. González Gaitárr, F. Julicher, New
    Journal of Physics 10 (2008).
date_created: 2018-12-11T11:53:39Z
date_published: 2008-06-03T00:00:00Z
date_updated: 2021-01-12T06:52:44Z
day: '03'
doi: 10.1088/1367-2630/10/6/063001
extern: 1
intvolume: '        10'
month: '06'
publication: New Journal of Physics
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '5411'
quality_controlled: 0
status: public
title: Dynamics of anisotropic tissue growth
type: journal_article
volume: 10
year: '2008'
...
---
_id: '1749'
abstract:
- lang: eng
  text: Scanning probe microscopy; Semiconductor quantum dots; Composition gradients;
    Composition profiles; Nanotomography; Single quantum dots; Strained sige/si; Three-dimensional
    (3D); Wet-chemical etchings; X-ray scattering measurements; quantum dot; methodology;
    nanotechnology; optical tomography; scanning probe microscopy; three dimensional
    imaging; Imaging, Three-Dimensional; Materials Testing; Microscopy, Scanning Probe;
    Nanotechnology; Quantum Dots; Tomography,
acknowledgement: This work was supported by the BMBF (No. 03N8711) and the EU project
  D-DotFET (No. 012150)
author:
- first_name: Armando
  full_name: Rastelli, Armando
  last_name: Rastelli
- first_name: Mathieu
  full_name: Stoffel, Mathieu
  last_name: Stoffel
- first_name: Ângelo
  full_name: Malachias, Ângelo S
  last_name: Malachias
- first_name: Tsvetelina
  full_name: Merdzhanova, Tsvetelina
  last_name: Merdzhanova
- first_name: Georgios
  full_name: Georgios Katsaros
  id: 38DB5788-F248-11E8-B48F-1D18A9856A87
  last_name: Katsaros
- first_name: Klaus
  full_name: Kern, Klaus
  last_name: Kern
- first_name: Till
  full_name: Metzger, Till H
  last_name: Metzger
- first_name: Oliver
  full_name: Schmidt, Oliver G
  last_name: Schmidt
citation:
  ama: Rastelli A, Stoffel M, Malachias Â, et al. Three-dimensional composition profiles
    of single quantum dots determined by scanning-probe-microscopy-based nanotomography.
    <i>Nano Letters</i>. 2008;8(5):1404-1409. doi:<a href="https://doi.org/10.1021/nl080290y">10.1021/nl080290y</a>
  apa: Rastelli, A., Stoffel, M., Malachias, Â., Merdzhanova, T., Katsaros, G., Kern,
    K., … Schmidt, O. (2008). Three-dimensional composition profiles of single quantum
    dots determined by scanning-probe-microscopy-based nanotomography. <i>Nano Letters</i>.
    American Chemical Society. <a href="https://doi.org/10.1021/nl080290y">https://doi.org/10.1021/nl080290y</a>
  chicago: Rastelli, Armando, Mathieu Stoffel, Ângelo Malachias, Tsvetelina Merdzhanova,
    Georgios Katsaros, Klaus Kern, Till Metzger, and Oliver Schmidt. “Three-Dimensional
    Composition Profiles of Single Quantum Dots Determined by Scanning-Probe-Microscopy-Based
    Nanotomography.” <i>Nano Letters</i>. American Chemical Society, 2008. <a href="https://doi.org/10.1021/nl080290y">https://doi.org/10.1021/nl080290y</a>.
  ieee: A. Rastelli <i>et al.</i>, “Three-dimensional composition profiles of single
    quantum dots determined by scanning-probe-microscopy-based nanotomography,” <i>Nano
    Letters</i>, vol. 8, no. 5. American Chemical Society, pp. 1404–1409, 2008.
  ista: Rastelli A, Stoffel M, Malachias Â, Merdzhanova T, Katsaros G, Kern K, Metzger
    T, Schmidt O. 2008. Three-dimensional composition profiles of single quantum dots
    determined by scanning-probe-microscopy-based nanotomography. Nano Letters. 8(5),
    1404–1409.
  mla: Rastelli, Armando, et al. “Three-Dimensional Composition Profiles of Single
    Quantum Dots Determined by Scanning-Probe-Microscopy-Based Nanotomography.” <i>Nano
    Letters</i>, vol. 8, no. 5, American Chemical Society, 2008, pp. 1404–09, doi:<a
    href="https://doi.org/10.1021/nl080290y">10.1021/nl080290y</a>.
  short: A. Rastelli, M. Stoffel, Â. Malachias, T. Merdzhanova, G. Katsaros, K. Kern,
    T. Metzger, O. Schmidt, Nano Letters 8 (2008) 1404–1409.
date_created: 2018-12-11T11:53:48Z
date_published: 2008-05-01T00:00:00Z
date_updated: 2021-01-12T06:52:57Z
day: '01'
doi: 10.1021/nl080290y
extern: 1
intvolume: '         8'
issue: '5'
month: '05'
page: 1404 - 1409
publication: Nano Letters
publication_status: published
publisher: American Chemical Society
publist_id: '5374'
quality_controlled: 0
status: public
title: Three-dimensional composition profiles of single quantum dots determined by
  scanning-probe-microscopy-based nanotomography
type: journal_article
volume: 8
year: '2008'
...
---
_id: '1751'
abstract:
- lang: eng
  text: When strained Stranski-Krastanow islands are used as &quot;self-assembled
    quantum dots,&quot; a key goal is to control the island position. Here we show
    that nanoscale grooves can control the nucleation of epitaxial Ge islands on Si(001),
    and can drive lateral motion of existing islands onto the grooves, even when the
    grooves are very narrow and shallow compared to the islands. A position centered
    on the groove minimizes energy. We use as prototype grooves the trenches which
    form naturally around islands. During coarsening, the shrinking islands move laterally
    to sit directly astride that trench. In subsequent growth, we demonstrate that
    islands nucleate on the &quot;empty trenches&quot; which remain on the surface
    after complete dissolution of the original islands.
author:
- first_name: Georgios
  full_name: Georgios Katsaros
  id: 38DB5788-F248-11E8-B48F-1D18A9856A87
  last_name: Katsaros
- first_name: Jerry
  full_name: Tersoff, Jerry
  last_name: Tersoff
- first_name: Mathieu
  full_name: Stoffel, Mathieu
  last_name: Stoffel
- first_name: Armando
  full_name: Rastelli, Armando
  last_name: Rastelli
- first_name: P
  full_name: Acosta-Diaz, P
  last_name: Acosta Diaz
- first_name: Gouranga
  full_name: Kar, Gouranga S
  last_name: Kar
- first_name: Giovanni
  full_name: Costantini, Giovanni
  last_name: Costantini
- first_name: Oliver
  full_name: Schmidt, Oliver G
  last_name: Schmidt
- first_name: Klaus
  full_name: Kern, Klaus
  last_name: Kern
citation:
  ama: Katsaros G, Tersoff J, Stoffel M, et al. Positioning of strained islands by
    interaction with surface nanogrooves. <i>Physical Review Letters</i>. 2008;101(9).
    doi:<a href="https://doi.org/10.1103/PhysRevLett.101.096103">10.1103/PhysRevLett.101.096103</a>
  apa: Katsaros, G., Tersoff, J., Stoffel, M., Rastelli, A., Acosta Diaz, P., Kar,
    G., … Kern, K. (2008). Positioning of strained islands by interaction with surface
    nanogrooves. <i>Physical Review Letters</i>. American Physical Society. <a href="https://doi.org/10.1103/PhysRevLett.101.096103">https://doi.org/10.1103/PhysRevLett.101.096103</a>
  chicago: Katsaros, Georgios, Jerry Tersoff, Mathieu Stoffel, Armando Rastelli, P
    Acosta Diaz, Gouranga Kar, Giovanni Costantini, Oliver Schmidt, and Klaus Kern.
    “Positioning of Strained Islands by Interaction with Surface Nanogrooves.” <i>Physical
    Review Letters</i>. American Physical Society, 2008. <a href="https://doi.org/10.1103/PhysRevLett.101.096103">https://doi.org/10.1103/PhysRevLett.101.096103</a>.
  ieee: G. Katsaros <i>et al.</i>, “Positioning of strained islands by interaction
    with surface nanogrooves,” <i>Physical Review Letters</i>, vol. 101, no. 9. American
    Physical Society, 2008.
  ista: Katsaros G, Tersoff J, Stoffel M, Rastelli A, Acosta Diaz P, Kar G, Costantini
    G, Schmidt O, Kern K. 2008. Positioning of strained islands by interaction with
    surface nanogrooves. Physical Review Letters. 101(9).
  mla: Katsaros, Georgios, et al. “Positioning of Strained Islands by Interaction
    with Surface Nanogrooves.” <i>Physical Review Letters</i>, vol. 101, no. 9, American
    Physical Society, 2008, doi:<a href="https://doi.org/10.1103/PhysRevLett.101.096103">10.1103/PhysRevLett.101.096103</a>.
  short: G. Katsaros, J. Tersoff, M. Stoffel, A. Rastelli, P. Acosta Diaz, G. Kar,
    G. Costantini, O. Schmidt, K. Kern, Physical Review Letters 101 (2008).
date_created: 2018-12-11T11:53:49Z
date_published: 2008-08-29T00:00:00Z
date_updated: 2021-01-12T06:52:58Z
day: '29'
doi: 10.1103/PhysRevLett.101.096103
extern: 1
intvolume: '       101'
issue: '9'
month: '08'
publication: Physical Review Letters
publication_status: published
publisher: American Physical Society
publist_id: '5373'
quality_controlled: 0
status: public
title: Positioning of strained islands by interaction with surface nanogrooves
type: journal_article
volume: 101
year: '2008'
...
---
_id: '1763'
abstract:
- lang: eng
  text: The field of cavity quantum electrodynamics (QED), traditionally studied in
    atomic systems, has gained new momentum by recent reports of quantum optical experiments
    with solid-state semiconducting and superconducting systems. In cavity QED, the
    observation of the vacuum Rabi mode splitting is used to investigate the nature
    of matter-light interaction at a quantum-mechanical level. However, this effect
    can, at least in principle, be explained classically as the normal mode splitting
    of two coupled linear oscillators. It has been suggested that an observation of
    the scaling of the resonant atom-photon coupling strength in the Jaynes-Cummings
    energy ladder with the square root of photon number n is sufficient to prove that
    the system is quantum mechanical in nature. Here we report a direct spectroscopic
    observation of this characteristic quantum nonlinearity. Measuring the photonic
    degree of freedom of the coupled system, our measurements provide unambiguous
    spectroscopic evidence for the quantum nature of the resonant atom-field interaction
    in cavity QED. We explore atom-photon superposition states involving up to two
    photons, using a spectroscopic pump and probe technique. The experiments have
    been performed in a circuit QED set-up, in which very strong coupling is realized
    by the large dipole coupling strength and the long coherence time of a superconducting
    qubit embedded in a high-quality on-chip microwave cavity. Circuit QED systems
    also provide a natural quantum interface between flying qubits (photons) and stationary
    qubits for applications in quantum information processing and communication.
acknowledgement: This work was supported by SNF and ETHZ. P.J.L. was supported by
  the EU with an MC-EIF. A.B. was supported by NSERC, CIFAR and FQRNT
author:
- first_name: Johannes M
  full_name: Johannes Fink
  id: 4B591CBA-F248-11E8-B48F-1D18A9856A87
  last_name: Fink
  orcid: 0000-0001-8112-028X
- first_name: M
  full_name: Göppl, M
  last_name: Göppl
- first_name: Matthias
  full_name: Baur, Matthias P
  last_name: Baur
- first_name: R
  full_name: Bianchetti, R
  last_name: Bianchetti
- first_name: Peter
  full_name: Leek, Peter J
  last_name: Leek
- first_name: Alexandre
  full_name: Blais, Alexandre
  last_name: Blais
- first_name: Andreas
  full_name: Wallraff, Andreas
  last_name: Wallraff
citation:
  ama: Fink JM, Göppl M, Baur M, et al. Climbing the Jaynes-Cummings ladder and observing
    its √n nonlinearity in a cavity QED system. <i>Nature</i>. 2008;454(7202):315-318.
    doi:<a href="https://doi.org/10.1038/nature07112">10.1038/nature07112</a>
  apa: Fink, J. M., Göppl, M., Baur, M., Bianchetti, R., Leek, P., Blais, A., &#38;
    Wallraff, A. (2008). Climbing the Jaynes-Cummings ladder and observing its √n
    nonlinearity in a cavity QED system. <i>Nature</i>. Nature Publishing Group. <a
    href="https://doi.org/10.1038/nature07112">https://doi.org/10.1038/nature07112</a>
  chicago: Fink, Johannes M, M Göppl, Matthias Baur, R Bianchetti, Peter Leek, Alexandre
    Blais, and Andreas Wallraff. “Climbing the Jaynes-Cummings Ladder and Observing
    Its √n Nonlinearity in a Cavity QED System.” <i>Nature</i>. Nature Publishing
    Group, 2008. <a href="https://doi.org/10.1038/nature07112">https://doi.org/10.1038/nature07112</a>.
  ieee: J. M. Fink <i>et al.</i>, “Climbing the Jaynes-Cummings ladder and observing
    its √n nonlinearity in a cavity QED system,” <i>Nature</i>, vol. 454, no. 7202.
    Nature Publishing Group, pp. 315–318, 2008.
  ista: Fink JM, Göppl M, Baur M, Bianchetti R, Leek P, Blais A, Wallraff A. 2008.
    Climbing the Jaynes-Cummings ladder and observing its √n nonlinearity in a cavity
    QED system. Nature. 454(7202), 315–318.
  mla: Fink, Johannes M., et al. “Climbing the Jaynes-Cummings Ladder and Observing
    Its √n Nonlinearity in a Cavity QED System.” <i>Nature</i>, vol. 454, no. 7202,
    Nature Publishing Group, 2008, pp. 315–18, doi:<a href="https://doi.org/10.1038/nature07112">10.1038/nature07112</a>.
  short: J.M. Fink, M. Göppl, M. Baur, R. Bianchetti, P. Leek, A. Blais, A. Wallraff,
    Nature 454 (2008) 315–318.
date_created: 2018-12-11T11:53:53Z
date_published: 2008-07-17T00:00:00Z
date_updated: 2021-01-12T06:53:03Z
day: '17'
doi: 10.1038/nature07112
extern: 1
intvolume: '       454'
issue: '7202'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0902.1827
month: '07'
oa: 1
page: 315 - 318
publication: Nature
publication_status: published
publisher: Nature Publishing Group
publist_id: '5358'
quality_controlled: 0
status: public
title: Climbing the Jaynes-Cummings ladder and observing its √n nonlinearity in a
  cavity QED system
type: journal_article
volume: 454
year: '2008'
...
---
_id: '1764'
abstract:
- lang: eng
  text: Quantum theory predicts that empty space is not truly empty. Even in the absence
    of any particles or radiation, in pure vacuum, virtual particles are constantly
    created and annihilated. In an electromagnetic field, the presence of virtual
    photons manifests itself as a small renormalization of the energy of a quantum
    system, known as the Lamb shift. We present an experimental observation of the
    Lamb shift in a solid-state system. The strong dispersive coupling of a superconducting
    electronic circuit acting as a quantum bit (qubit) to the vacuum field in a transmission-line
    resonator leads to measurable Lamb shifts of up to 1.4% of the qubit transition
    frequency. The qubit is also observed to couple more strongly to the vacuum field
    than to a single photon inside the cavity, an effect that is explained by taking
    into account the limited anharmonicity of the higher excited qubit states.
acknowledgement: This work was supported by the Swiss National Science Foundation
  and ETHZ. P.J.L. was supported by the European Commission with a Marie Curie Intra-European
  Fellowship. A.B. was supported by the Natural Sciences and Engineering Research
  Council of Canada, Canadian Institute for Advanced Research, and Fonds Québécois
  de la Recherche sur la Nature et les Technologies
author:
- first_name: A
  full_name: Fragner, A
  last_name: Fragner
- first_name: M
  full_name: Göppl, M
  last_name: Göppl
- first_name: Johannes M
  full_name: Johannes Fink
  id: 4B591CBA-F248-11E8-B48F-1D18A9856A87
  last_name: Fink
  orcid: 0000-0001-8112-028X
- first_name: Matthias
  full_name: Baur, Matthias P
  last_name: Baur
- first_name: R
  full_name: Bianchetti, R
  last_name: Bianchetti
- first_name: Peter
  full_name: Leek, Peter J
  last_name: Leek
- first_name: Alexandre
  full_name: Blais, Alexandre
  last_name: Blais
- first_name: Andreas
  full_name: Wallraff, Andreas
  last_name: Wallraff
citation:
  ama: Fragner A, Göppl M, Fink JM, et al. Resolving vacuum fluctuations in an electrical
    circuit by measuring the lamb shift. <i>Science</i>. 2008;322(5906):1357-1360.
    doi:<a href="https://doi.org/10.1126/science.1164482">10.1126/science.1164482</a>
  apa: Fragner, A., Göppl, M., Fink, J. M., Baur, M., Bianchetti, R., Leek, P., …
    Wallraff, A. (2008). Resolving vacuum fluctuations in an electrical circuit by
    measuring the lamb shift. <i>Science</i>. American Association for the Advancement
    of Science. <a href="https://doi.org/10.1126/science.1164482">https://doi.org/10.1126/science.1164482</a>
  chicago: Fragner, A, M Göppl, Johannes M Fink, Matthias Baur, R Bianchetti, Peter
    Leek, Alexandre Blais, and Andreas Wallraff. “Resolving Vacuum Fluctuations in
    an Electrical Circuit by Measuring the Lamb Shift.” <i>Science</i>. American Association
    for the Advancement of Science, 2008. <a href="https://doi.org/10.1126/science.1164482">https://doi.org/10.1126/science.1164482</a>.
  ieee: A. Fragner <i>et al.</i>, “Resolving vacuum fluctuations in an electrical
    circuit by measuring the lamb shift,” <i>Science</i>, vol. 322, no. 5906. American
    Association for the Advancement of Science, pp. 1357–1360, 2008.
  ista: Fragner A, Göppl M, Fink JM, Baur M, Bianchetti R, Leek P, Blais A, Wallraff
    A. 2008. Resolving vacuum fluctuations in an electrical circuit by measuring the
    lamb shift. Science. 322(5906), 1357–1360.
  mla: Fragner, A., et al. “Resolving Vacuum Fluctuations in an Electrical Circuit
    by Measuring the Lamb Shift.” <i>Science</i>, vol. 322, no. 5906, American Association
    for the Advancement of Science, 2008, pp. 1357–60, doi:<a href="https://doi.org/10.1126/science.1164482">10.1126/science.1164482</a>.
  short: A. Fragner, M. Göppl, J.M. Fink, M. Baur, R. Bianchetti, P. Leek, A. Blais,
    A. Wallraff, Science 322 (2008) 1357–1360.
date_created: 2018-12-11T11:53:53Z
date_published: 2008-11-28T00:00:00Z
date_updated: 2021-01-12T06:53:03Z
day: '28'
doi: 10.1126/science.1164482
extern: 1
intvolume: '       322'
issue: '5906'
month: '11'
page: 1357 - 1360
publication: Science
publication_status: published
publisher: American Association for the Advancement of Science
publist_id: '5357'
quality_controlled: 0
status: public
title: Resolving vacuum fluctuations in an electrical circuit by measuring the lamb
  shift
type: journal_article
volume: 322
year: '2008'
...
---
_id: '1765'
abstract:
- lang: eng
  text: High quality on-chip microwave resonators have recently found prominent new
    applications in quantum optics and quantum information processing experiments
    with superconducting electronic circuits, a field now known as circuit quantum
    electrodynamics (QED). They are also used as single photon detectors and parametric
    amplifiers. Here we analyze the physical properties of coplanar waveguide resonators
    and their relation to the materials properties for use in circuit QED. We have
    designed and fabricated resonators with fundamental frequencies from 2 to 9 GHz
    and quality factors ranging from a few hundreds to a several hundred thousands
    controlled by appropriately designed input and output coupling capacitors. The
    microwave transmission spectra measured at temperatures of 20 mK are shown to
    be in good agreement with theoretical lumped element and distributed element transmission
    matrix models. In particular, the experimentally determined resonance frequencies,
    quality factors, and insertion losses are fully and consistently explained by
    the two models for all measured devices. The high level of control and flexibility
    in design renders these resonators ideal for storing and manipulating quantum
    electromagnetic fields in integrated superconducting electronic circuits.
acknowledgement: This work was supported by Swiss National Fund (SNF) and ETH Zürich.
  P.J.L. was supported by the EC with a MC-EIF
author:
- first_name: M
  full_name: Göppl, M
  last_name: Göppl
- first_name: A
  full_name: Fragner, A
  last_name: Fragner
- first_name: Matthias
  full_name: Baur, Matthias P
  last_name: Baur
- first_name: R
  full_name: Bianchetti, R
  last_name: Bianchetti
- first_name: Stefan
  full_name: Filipp, Stefan
  last_name: Filipp
- first_name: Johannes M
  full_name: Johannes Fink
  id: 4B591CBA-F248-11E8-B48F-1D18A9856A87
  last_name: Fink
  orcid: 0000-0001-8112-028X
- first_name: Peter
  full_name: Leek, Peter J
  last_name: Leek
- first_name: G
  full_name: Puebla, G
  last_name: Puebla
- first_name: L.
  full_name: Steffen, L. Kraig
  last_name: Steffen
- first_name: Andreas
  full_name: Wallraff, Andreas
  last_name: Wallraff
citation:
  ama: Göppl M, Fragner A, Baur M, et al. Coplanar waveguide resonators for circuit
    quantum electrodynamics. <i>Journal of Applied Physics</i>. 2008;104(11). doi:<a
    href="https://doi.org/10.1063/1.3010859">10.1063/1.3010859</a>
  apa: Göppl, M., Fragner, A., Baur, M., Bianchetti, R., Filipp, S., Fink, J. M.,
    … Wallraff, A. (2008). Coplanar waveguide resonators for circuit quantum electrodynamics.
    <i>Journal of Applied Physics</i>. American Institute of Physics. <a href="https://doi.org/10.1063/1.3010859">https://doi.org/10.1063/1.3010859</a>
  chicago: Göppl, M, A Fragner, Matthias Baur, R Bianchetti, Stefan Filipp, Johannes
    M Fink, Peter Leek, G Puebla, L. Steffen, and Andreas Wallraff. “Coplanar Waveguide
    Resonators for Circuit Quantum Electrodynamics.” <i>Journal of Applied Physics</i>.
    American Institute of Physics, 2008. <a href="https://doi.org/10.1063/1.3010859">https://doi.org/10.1063/1.3010859</a>.
  ieee: M. Göppl <i>et al.</i>, “Coplanar waveguide resonators for circuit quantum
    electrodynamics,” <i>Journal of Applied Physics</i>, vol. 104, no. 11. American
    Institute of Physics, 2008.
  ista: Göppl M, Fragner A, Baur M, Bianchetti R, Filipp S, Fink JM, Leek P, Puebla
    G, Steffen L, Wallraff A. 2008. Coplanar waveguide resonators for circuit quantum
    electrodynamics. Journal of Applied Physics. 104(11).
  mla: Göppl, M., et al. “Coplanar Waveguide Resonators for Circuit Quantum Electrodynamics.”
    <i>Journal of Applied Physics</i>, vol. 104, no. 11, American Institute of Physics,
    2008, doi:<a href="https://doi.org/10.1063/1.3010859">10.1063/1.3010859</a>.
  short: M. Göppl, A. Fragner, M. Baur, R. Bianchetti, S. Filipp, J.M. Fink, P. Leek,
    G. Puebla, L. Steffen, A. Wallraff, Journal of Applied Physics 104 (2008).
date_created: 2018-12-11T11:53:53Z
date_published: 2008-01-01T00:00:00Z
date_updated: 2021-01-12T06:53:03Z
day: '01'
doi: 10.1063/1.3010859
extern: 1
intvolume: '       104'
issue: '11'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0807.4094
month: '01'
oa: 1
publication: Journal of Applied Physics
publication_status: published
publisher: American Institute of Physics
publist_id: '5355'
quality_controlled: 0
status: public
title: Coplanar waveguide resonators for circuit quantum electrodynamics
type: journal_article
volume: 104
year: '2008'
...