---
_id: '1807'
abstract:
- lang: eng
text: We study a double Cahn-Hilliard type functional related to the Gross-Pitaevskii
energy of two-components Bose-Einstein condensates. In the case of large but same
order intercomponent and intracomponent coupling strengths, we prove Γ-convergence
to a perimeter minimisation functional with an inhomogeneous surface tension.
We study the asymptotic behavior of the surface tension as the ratio between the
intercomponent and intracomponent coupling strengths becomes very small or very
large and obtain good agreement with the physical literature. We obtain as a consequence,
symmetry breaking of the minimisers for the harmonic potential.
article_processing_charge: No
arxiv: 1
author:
- first_name: Michael
full_name: Goldman, Michael
last_name: Goldman
- first_name: Jimena
full_name: Royo-Letelier, Jimena
id: 4D3BED28-F248-11E8-B48F-1D18A9856A87
last_name: Royo-Letelier
citation:
ama: Goldman M, Royo-Letelier J. Sharp interface limit for two components Bose-Einstein
condensates. ESAIM - Control, Optimisation and Calculus of Variations.
2015;21(3):603-624. doi:10.1051/cocv/2014040
apa: Goldman, M., & Royo-Letelier, J. (2015). Sharp interface limit for two
components Bose-Einstein condensates. ESAIM - Control, Optimisation and Calculus
of Variations. EDP Sciences. https://doi.org/10.1051/cocv/2014040
chicago: Goldman, Michael, and Jimena Royo-Letelier. “Sharp Interface Limit for
Two Components Bose-Einstein Condensates.” ESAIM - Control, Optimisation and
Calculus of Variations. EDP Sciences, 2015. https://doi.org/10.1051/cocv/2014040.
ieee: M. Goldman and J. Royo-Letelier, “Sharp interface limit for two components
Bose-Einstein condensates,” ESAIM - Control, Optimisation and Calculus of Variations,
vol. 21, no. 3. EDP Sciences, pp. 603–624, 2015.
ista: Goldman M, Royo-Letelier J. 2015. Sharp interface limit for two components
Bose-Einstein condensates. ESAIM - Control, Optimisation and Calculus of Variations.
21(3), 603–624.
mla: Goldman, Michael, and Jimena Royo-Letelier. “Sharp Interface Limit for Two
Components Bose-Einstein Condensates.” ESAIM - Control, Optimisation and Calculus
of Variations, vol. 21, no. 3, EDP Sciences, 2015, pp. 603–24, doi:10.1051/cocv/2014040.
short: M. Goldman, J. Royo-Letelier, ESAIM - Control, Optimisation and Calculus
of Variations 21 (2015) 603–624.
corr_author: '1'
date_created: 2018-12-11T11:54:07Z
date_published: 2015-05-01T00:00:00Z
date_updated: 2025-09-23T10:45:09Z
day: '01'
department:
- _id: RoSe
doi: 10.1051/cocv/2014040
external_id:
arxiv:
- '1401.1727'
isi:
- '000356012000001'
intvolume: ' 21'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1401.1727
month: '05'
oa: 1
oa_version: Preprint
page: 603 - 624
publication: ESAIM - Control, Optimisation and Calculus of Variations
publication_status: published
publisher: EDP Sciences
publist_id: '5303'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Sharp interface limit for two components Bose-Einstein condensates
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 21
year: '2015'
...
---
_id: '1880'
abstract:
- lang: eng
text: We investigate the relation between Bose-Einstein condensation (BEC) and superfluidity
in the ground state of a one-dimensional model of interacting bosons in a strong
random potential. We prove rigorously that in a certain parameter regime the superfluid
fraction can be arbitrarily small while complete BEC prevails. In another regime
there is both complete BEC and complete superfluidity, despite the strong disorder
acknowledgement: Support from the Natural Sciences and Engineering Research Council
of Canada NSERC (MK and RS) and from the Austrian Science Fund FWF (JY, under project
P 22929-N16) is gratefully acknowledged
article_number: '013022'
article_processing_charge: No
author:
- first_name: Martin
full_name: Könenberg, Martin
last_name: Könenberg
- first_name: Thomas
full_name: Moser, Thomas
id: 2B5FC9A4-F248-11E8-B48F-1D18A9856A87
last_name: Moser
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Jakob
full_name: Yngvason, Jakob
last_name: Yngvason
citation:
ama: Könenberg M, Moser T, Seiringer R, Yngvason J. Superfluid behavior of a Bose-Einstein
condensate in a random potential. New Journal of Physics. 2015;17. doi:10.1088/1367-2630/17/1/013022
apa: Könenberg, M., Moser, T., Seiringer, R., & Yngvason, J. (2015). Superfluid
behavior of a Bose-Einstein condensate in a random potential. New Journal of
Physics. IOP Publishing. https://doi.org/10.1088/1367-2630/17/1/013022
chicago: Könenberg, Martin, Thomas Moser, Robert Seiringer, and Jakob Yngvason.
“Superfluid Behavior of a Bose-Einstein Condensate in a Random Potential.” New
Journal of Physics. IOP Publishing, 2015. https://doi.org/10.1088/1367-2630/17/1/013022.
ieee: M. Könenberg, T. Moser, R. Seiringer, and J. Yngvason, “Superfluid behavior
of a Bose-Einstein condensate in a random potential,” New Journal of Physics,
vol. 17. IOP Publishing, 2015.
ista: Könenberg M, Moser T, Seiringer R, Yngvason J. 2015. Superfluid behavior of
a Bose-Einstein condensate in a random potential. New Journal of Physics. 17,
013022.
mla: Könenberg, Martin, et al. “Superfluid Behavior of a Bose-Einstein Condensate
in a Random Potential.” New Journal of Physics, vol. 17, 013022, IOP Publishing,
2015, doi:10.1088/1367-2630/17/1/013022.
short: M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, New Journal of Physics
17 (2015).
date_created: 2018-12-11T11:54:30Z
date_published: 2015-01-15T00:00:00Z
date_updated: 2025-09-23T10:51:00Z
day: '15'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1088/1367-2630/17/1/013022
external_id:
isi:
- '000348759300007'
file:
- access_level: open_access
checksum: 38fdf2b5ac30445e26a5d613abd84b16
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:12:44Z
date_updated: 2020-07-14T12:45:20Z
file_id: '4963'
file_name: IST-2016-447-v1+1_document_1_.pdf
file_size: 768108
relation: main_file
file_date_updated: 2020-07-14T12:45:20Z
has_accepted_license: '1'
intvolume: ' 17'
isi: 1
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 26450934-B435-11E9-9278-68D0E5697425
name: NSERC Postdoctoral fellowship
publication: New Journal of Physics
publication_status: published
publisher: IOP Publishing
publist_id: '5214'
pubrep_id: '447'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Superfluid behavior of a Bose-Einstein condensate in a random potential
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 17
year: '2015'
...
---
_id: '2085'
abstract:
- lang: eng
text: 'We study the spectrum of a large system of N identical bosons interacting
via a two-body potential with strength 1/N. In this mean-field regime, Bogoliubov''s
theory predicts that the spectrum of the N-particle Hamiltonian can be approximated
by that of an effective quadratic Hamiltonian acting on Fock space, which describes
the fluctuations around a condensed state. Recently, Bogoliubov''s theory has
been justified rigorously in the case that the low-energy eigenvectors of the
N-particle Hamiltonian display complete condensation in the unique minimizer of
the corresponding Hartree functional. In this paper, we shall justify Bogoliubov''s
theory for the high-energy part of the spectrum of the N-particle Hamiltonian
corresponding to (non-linear) excited states of the Hartree functional. Moreover,
we shall extend the existing results on the excitation spectrum to the case of
non-uniqueness and/or degeneracy of the Hartree minimizer. In particular, the
latter covers the case of rotating Bose gases, when the rotation speed is large
enough to break the symmetry and to produce multiple quantized vortices in the
Hartree minimizer. '
article_processing_charge: No
arxiv: 1
author:
- first_name: Phan
full_name: Nam, Phan
id: 404092F4-F248-11E8-B48F-1D18A9856A87
last_name: Nam
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Nam P, Seiringer R. Collective excitations of Bose gases in the mean-field
regime. Archive for Rational Mechanics and Analysis. 2015;215(2):381-417.
doi:10.1007/s00205-014-0781-6
apa: Nam, P., & Seiringer, R. (2015). Collective excitations of Bose gases in
the mean-field regime. Archive for Rational Mechanics and Analysis. Springer.
https://doi.org/10.1007/s00205-014-0781-6
chicago: Nam, Phan, and Robert Seiringer. “Collective Excitations of Bose Gases
in the Mean-Field Regime.” Archive for Rational Mechanics and Analysis.
Springer, 2015. https://doi.org/10.1007/s00205-014-0781-6.
ieee: P. Nam and R. Seiringer, “Collective excitations of Bose gases in the mean-field
regime,” Archive for Rational Mechanics and Analysis, vol. 215, no. 2.
Springer, pp. 381–417, 2015.
ista: Nam P, Seiringer R. 2015. Collective excitations of Bose gases in the mean-field
regime. Archive for Rational Mechanics and Analysis. 215(2), 381–417.
mla: Nam, Phan, and Robert Seiringer. “Collective Excitations of Bose Gases in the
Mean-Field Regime.” Archive for Rational Mechanics and Analysis, vol. 215,
no. 2, Springer, 2015, pp. 381–417, doi:10.1007/s00205-014-0781-6.
short: P. Nam, R. Seiringer, Archive for Rational Mechanics and Analysis 215 (2015)
381–417.
corr_author: '1'
date_created: 2018-12-11T11:55:37Z
date_published: 2015-02-01T00:00:00Z
date_updated: 2025-09-23T08:17:14Z
day: '01'
department:
- _id: RoSe
doi: 10.1007/s00205-014-0781-6
external_id:
arxiv:
- '1402.1153'
isi:
- '000347150400002'
intvolume: ' 215'
isi: 1
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1402.1153
month: '02'
oa: 1
oa_version: Preprint
page: 381 - 417
publication: Archive for Rational Mechanics and Analysis
publication_status: published
publisher: Springer
publist_id: '4951'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Collective excitations of Bose gases in the mean-field regime
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 215
year: '2015'
...
---
_id: '1572'
abstract:
- lang: eng
text: "We consider the quantum ferromagnetic Heisenberg model in three dimensions,
for all spins S ≥ 1/2. We rigorously prove the validity of the spin-wave approximation
for the excitation spectrum, at the level of the first non-trivial contribution
to the free energy at low temperatures. Our proof comes with explicit, constructive
upper and lower bounds on the error term. It uses in an essential way the bosonic
formulation of the model in terms of the Holstein-Primakoff representation. In
this language, the model describes interacting bosons with a hard-core on-site
repulsion and a nearest-neighbor attraction. This attractive interaction makes
the lower bound on the free energy particularly tricky: the key idea there is
to prove a differential inequality for the two-particle density, which is thereby
shown to be smaller than the probability density of a suitably weighted two-particle
random process on the lattice.\r\n"
article_processing_charge: No
arxiv: 1
author:
- first_name: Michele
full_name: Correggi, Michele
last_name: Correggi
- first_name: Alessandro
full_name: Giuliani, Alessandro
last_name: Giuliani
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Correggi M, Giuliani A, Seiringer R. Validity of the spin-wave approximation
for the free energy of the Heisenberg ferromagnet. Communications in Mathematical
Physics. 2015;339(1):279-307. doi:10.1007/s00220-015-2402-0
apa: Correggi, M., Giuliani, A., & Seiringer, R. (2015). Validity of the spin-wave
approximation for the free energy of the Heisenberg ferromagnet. Communications
in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-015-2402-0
chicago: Correggi, Michele, Alessandro Giuliani, and Robert Seiringer. “Validity
of the Spin-Wave Approximation for the Free Energy of the Heisenberg Ferromagnet.”
Communications in Mathematical Physics. Springer, 2015. https://doi.org/10.1007/s00220-015-2402-0.
ieee: M. Correggi, A. Giuliani, and R. Seiringer, “Validity of the spin-wave approximation
for the free energy of the Heisenberg ferromagnet,” Communications in Mathematical
Physics, vol. 339, no. 1. Springer, pp. 279–307, 2015.
ista: Correggi M, Giuliani A, Seiringer R. 2015. Validity of the spin-wave approximation
for the free energy of the Heisenberg ferromagnet. Communications in Mathematical
Physics. 339(1), 279–307.
mla: Correggi, Michele, et al. “Validity of the Spin-Wave Approximation for the
Free Energy of the Heisenberg Ferromagnet.” Communications in Mathematical
Physics, vol. 339, no. 1, Springer, 2015, pp. 279–307, doi:10.1007/s00220-015-2402-0.
short: M. Correggi, A. Giuliani, R. Seiringer, Communications in Mathematical Physics
339 (2015) 279–307.
date_created: 2018-12-11T11:52:47Z
date_published: 2015-06-23T00:00:00Z
date_updated: 2025-09-29T11:04:37Z
day: '23'
department:
- _id: RoSe
doi: 10.1007/s00220-015-2402-0
external_id:
arxiv:
- '1312.7873'
isi:
- '000357582800010'
intvolume: ' 339'
isi: 1
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1312.7873
month: '06'
oa: 1
oa_version: Preprint
page: 279 - 307
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '5599'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Validity of the spin-wave approximation for the free energy of the Heisenberg
ferromagnet
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 339
year: '2015'
...
---
_id: '1573'
abstract:
- lang: eng
text: We present a new, simpler proof of the unconditional uniqueness of solutions
to the cubic Gross-Pitaevskii hierarchy in ℝ3. One of the main tools in our analysis
is the quantum de Finetti theorem. Our uniqueness result is equivalent to the
one established in the celebrated works of Erdos, Schlein, and Yau.
article_processing_charge: No
arxiv: 1
author:
- first_name: Thomas
full_name: Chen, Thomas
last_name: Chen
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Nataša
full_name: Pavlović, Nataša
last_name: Pavlović
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Chen T, Hainzl C, Pavlović N, Seiringer R. Unconditional uniqueness for the
cubic gross pitaevskii hierarchy via quantum de finetti. Communications on
Pure and Applied Mathematics. 2015;68(10):1845-1884. doi:10.1002/cpa.21552
apa: Chen, T., Hainzl, C., Pavlović, N., & Seiringer, R. (2015). Unconditional
uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti. Communications
on Pure and Applied Mathematics. Wiley. https://doi.org/10.1002/cpa.21552
chicago: Chen, Thomas, Christian Hainzl, Nataša Pavlović, and Robert Seiringer.
“Unconditional Uniqueness for the Cubic Gross Pitaevskii Hierarchy via Quantum
de Finetti.” Communications on Pure and Applied Mathematics. Wiley, 2015.
https://doi.org/10.1002/cpa.21552.
ieee: T. Chen, C. Hainzl, N. Pavlović, and R. Seiringer, “Unconditional uniqueness
for the cubic gross pitaevskii hierarchy via quantum de finetti,” Communications
on Pure and Applied Mathematics, vol. 68, no. 10. Wiley, pp. 1845–1884, 2015.
ista: Chen T, Hainzl C, Pavlović N, Seiringer R. 2015. Unconditional uniqueness
for the cubic gross pitaevskii hierarchy via quantum de finetti. Communications
on Pure and Applied Mathematics. 68(10), 1845–1884.
mla: Chen, Thomas, et al. “Unconditional Uniqueness for the Cubic Gross Pitaevskii
Hierarchy via Quantum de Finetti.” Communications on Pure and Applied Mathematics,
vol. 68, no. 10, Wiley, 2015, pp. 1845–84, doi:10.1002/cpa.21552.
short: T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Communications on Pure and
Applied Mathematics 68 (2015) 1845–1884.
date_created: 2018-12-11T11:52:48Z
date_published: 2015-10-01T00:00:00Z
date_updated: 2025-09-29T10:59:59Z
day: '01'
department:
- _id: RoSe
doi: 10.1002/cpa.21552
external_id:
arxiv:
- '1307.3168'
isi:
- '000359670800004'
intvolume: ' 68'
isi: 1
issue: '10'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1307.3168
month: '10'
oa: 1
oa_version: Preprint
page: 1845 - 1884
project:
- _id: 26450934-B435-11E9-9278-68D0E5697425
name: NSERC Postdoctoral fellowship
publication: Communications on Pure and Applied Mathematics
publication_status: published
publisher: Wiley
publist_id: '5598'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum
de finetti
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 68
year: '2015'
...
---
_id: '1704'
abstract:
- lang: eng
text: Given a convex function (Formula presented.) and two hermitian matrices A
and B, Lewin and Sabin study in (Lett Math Phys 104:691–705, 2014) the relative
entropy defined by (Formula presented.). Among other things, they prove that the
so-defined quantity is monotone if and only if (Formula presented.) is operator
monotone. The monotonicity is then used to properly define (Formula presented.)
for bounded self-adjoint operators acting on an infinite-dimensional Hilbert space
by a limiting procedure. More precisely, for an increasing sequence of finite-dimensional
projections (Formula presented.) with (Formula presented.) strongly, the limit
(Formula presented.) is shown to exist and to be independent of the sequence of
projections (Formula presented.). The question whether this sequence converges
to its "obvious" limit, namely (Formula presented.), has been left open.
We answer this question in principle affirmatively and show that (Formula presented.).
If the operators A and B are regular enough, that is (A − B), (Formula presented.)
and (Formula presented.) are trace-class, the identity (Formula presented.) holds.
article_processing_charge: No
arxiv: 1
author:
- first_name: Andreas
full_name: Deuchert, Andreas
last_name: Deuchert
orcid: 0000-0003-3146-6746
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Deuchert A, Hainzl C, Seiringer R. Note on a family of monotone quantum relative
entropies. Letters in Mathematical Physics. 2015;105(10):1449-1466. doi:10.1007/s11005-015-0787-5
apa: Deuchert, A., Hainzl, C., & Seiringer, R. (2015). Note on a family of monotone
quantum relative entropies. Letters in Mathematical Physics. Springer.
https://doi.org/10.1007/s11005-015-0787-5
chicago: Deuchert, Andreas, Christian Hainzl, and Robert Seiringer. “Note on a Family
of Monotone Quantum Relative Entropies.” Letters in Mathematical Physics.
Springer, 2015. https://doi.org/10.1007/s11005-015-0787-5.
ieee: A. Deuchert, C. Hainzl, and R. Seiringer, “Note on a family of monotone quantum
relative entropies,” Letters in Mathematical Physics, vol. 105, no. 10.
Springer, pp. 1449–1466, 2015.
ista: Deuchert A, Hainzl C, Seiringer R. 2015. Note on a family of monotone quantum
relative entropies. Letters in Mathematical Physics. 105(10), 1449–1466.
mla: Deuchert, Andreas, et al. “Note on a Family of Monotone Quantum Relative Entropies.”
Letters in Mathematical Physics, vol. 105, no. 10, Springer, 2015, pp.
1449–66, doi:10.1007/s11005-015-0787-5.
short: A. Deuchert, C. Hainzl, R. Seiringer, Letters in Mathematical Physics 105
(2015) 1449–1466.
corr_author: '1'
date_created: 2018-12-11T11:53:34Z
date_published: 2015-08-05T00:00:00Z
date_updated: 2025-09-23T09:41:03Z
day: '05'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s11005-015-0787-5
external_id:
arxiv:
- '1502.07205'
isi:
- '000361007600006'
file:
- access_level: open_access
checksum: fd7307282a314cc1fbbaef77b187516b
content_type: application/pdf
creator: dernst
date_created: 2019-01-15T14:42:07Z
date_updated: 2020-07-14T12:45:13Z
file_id: '5836'
file_name: 2015_LettersMathPhys_Deuchert.pdf
file_size: 484967
relation: main_file
file_date_updated: 2020-07-14T12:45:13Z
has_accepted_license: '1'
intvolume: ' 105'
isi: 1
issue: '10'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc/4.0/
month: '08'
oa: 1
oa_version: Preprint
page: 1449 - 1466
publication: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '5432'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Note on a family of monotone quantum relative entropies
tmp:
image: /images/cc_by_nc.png
legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode
name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
short: CC BY-NC (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 105
year: '2015'
...
---
_id: '473'
abstract:
- lang: eng
text: We prove that nonlinear Gibbs measures can be obtained from the corresponding
many-body, grand-canonical, quantum Gibbs states, in a mean-field limit where
the temperature T diverges and the interaction strength behaves as 1/T. We proceed
by characterizing the interacting Gibbs state as minimizing a functional counting
the free-energy relatively to the non-interacting case. We then perform an infinite-dimensional
analogue of phase-space semiclassical analysis, using fine properties of the quantum
relative entropy, the link between quantum de Finetti measures and upper/lower
symbols in a coherent state basis, as well as Berezin-Lieb type inequalities.
Our results cover the measure built on the defocusing nonlinear Schrödinger functional
on a finite interval, as well as smoother interactions in dimensions d 2.
author:
- first_name: Mathieu
full_name: Lewin, Mathieu
last_name: Lewin
- first_name: Nam
full_name: Phan Thanh, Nam
id: 404092F4-F248-11E8-B48F-1D18A9856A87
last_name: Phan Thanh
- first_name: Nicolas
full_name: Rougerie, Nicolas
last_name: Rougerie
citation:
ama: Lewin M, Nam P, Rougerie N. Derivation of nonlinear gibbs measures from many-body
quantum mechanics. Journal de l’Ecole Polytechnique - Mathematiques. 2015;2:65-115.
doi:10.5802/jep.18
apa: Lewin, M., Nam, P., & Rougerie, N. (2015). Derivation of nonlinear gibbs
measures from many-body quantum mechanics. Journal de l’Ecole Polytechnique
- Mathematiques. Ecole Polytechnique. https://doi.org/10.5802/jep.18
chicago: Lewin, Mathieu, Phan Nam, and Nicolas Rougerie. “Derivation of Nonlinear
Gibbs Measures from Many-Body Quantum Mechanics.” Journal de l’Ecole Polytechnique
- Mathematiques. Ecole Polytechnique, 2015. https://doi.org/10.5802/jep.18.
ieee: M. Lewin, P. Nam, and N. Rougerie, “Derivation of nonlinear gibbs measures
from many-body quantum mechanics,” Journal de l’Ecole Polytechnique - Mathematiques,
vol. 2. Ecole Polytechnique, pp. 65–115, 2015.
ista: Lewin M, Nam P, Rougerie N. 2015. Derivation of nonlinear gibbs measures from
many-body quantum mechanics. Journal de l’Ecole Polytechnique - Mathematiques.
2, 65–115.
mla: Lewin, Mathieu, et al. “Derivation of Nonlinear Gibbs Measures from Many-Body
Quantum Mechanics.” Journal de l’Ecole Polytechnique - Mathematiques, vol.
2, Ecole Polytechnique, 2015, pp. 65–115, doi:10.5802/jep.18.
short: M. Lewin, P. Nam, N. Rougerie, Journal de l’Ecole Polytechnique - Mathematiques
2 (2015) 65–115.
date_created: 2018-12-11T11:46:40Z
date_published: 2015-01-01T00:00:00Z
date_updated: 2021-01-12T08:00:52Z
day: '01'
ddc:
- '539'
department:
- _id: RoSe
doi: 10.5802/jep.18
ec_funded: 1
file:
- access_level: open_access
checksum: a40eb4016717ddc9927154798a4c164a
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:12:53Z
date_updated: 2020-07-14T12:46:35Z
file_id: '4974'
file_name: IST-2018-951-v1+1_2015_Thanh-Nam_Derivation_of.pdf
file_size: 1084254
relation: main_file
file_date_updated: 2020-07-14T12:46:35Z
has_accepted_license: '1'
intvolume: ' 2'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nd/4.0/
month: '01'
oa: 1
oa_version: Published Version
page: 65 - 115
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
publication: Journal de l'Ecole Polytechnique - Mathematiques
publication_status: published
publisher: Ecole Polytechnique
publist_id: '7344'
pubrep_id: '951'
quality_controlled: '1'
scopus_import: 1
status: public
title: Derivation of nonlinear gibbs measures from many-body quantum mechanics
tmp:
image: /image/cc_by_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nd/4.0/legalcode
name: Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)
short: CC BY-ND (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2
year: '2015'
...
---
_id: '1821'
abstract:
- lang: eng
text: We review recent progress towards a rigorous understanding of the Bogoliubov
approximation for bosonic quantum many-body systems. We focus, in particular,
on the excitation spectrum of a Bose gas in the mean-field (Hartree) limit. A
list of open problems will be discussed at the end.
article_number: '1.4881536'
article_processing_charge: No
author:
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Seiringer R. Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation.
Journal of Mathematical Physics. 2014;55(7). doi:10.1063/1.4881536
apa: Seiringer, R. (2014). Bose gases, Bose-Einstein condensation, and the Bogoliubov
approximation. Journal of Mathematical Physics. American Institute of Physics.
https://doi.org/10.1063/1.4881536
chicago: Seiringer, Robert. “Bose Gases, Bose-Einstein Condensation, and the Bogoliubov
Approximation.” Journal of Mathematical Physics. American Institute of
Physics, 2014. https://doi.org/10.1063/1.4881536.
ieee: R. Seiringer, “Bose gases, Bose-Einstein condensation, and the Bogoliubov
approximation,” Journal of Mathematical Physics, vol. 55, no. 7. American
Institute of Physics, 2014.
ista: Seiringer R. 2014. Bose gases, Bose-Einstein condensation, and the Bogoliubov
approximation. Journal of Mathematical Physics. 55(7), 1.4881536.
mla: Seiringer, Robert. “Bose Gases, Bose-Einstein Condensation, and the Bogoliubov
Approximation.” Journal of Mathematical Physics, vol. 55, no. 7, 1.4881536,
American Institute of Physics, 2014, doi:10.1063/1.4881536.
short: R. Seiringer, Journal of Mathematical Physics 55 (2014).
corr_author: '1'
date_created: 2018-12-11T11:54:11Z
date_published: 2014-06-26T00:00:00Z
date_updated: 2025-09-29T13:13:35Z
day: '26'
ddc:
- '510'
- '530'
department:
- _id: RoSe
doi: 10.1063/1.4881536
external_id:
isi:
- '000341174600010'
file:
- access_level: open_access
checksum: ed0efc93c10f1341155f0316af617b82
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:15:49Z
date_updated: 2020-07-14T12:45:17Z
file_id: '5172'
file_name: IST-2016-532-v1+1_J._Mathematical_Phys._2014_Seiringer.pdf
file_size: 269171
relation: main_file
file_date_updated: 2020-07-14T12:45:17Z
has_accepted_license: '1'
intvolume: ' 55'
isi: 1
issue: '7'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Submitted Version
project:
- _id: 26450934-B435-11E9-9278-68D0E5697425
name: NSERC Postdoctoral fellowship
publication: Journal of Mathematical Physics
publication_status: published
publisher: American Institute of Physics
publist_id: '5285'
pubrep_id: '532'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 55
year: '2014'
...
---
_id: '1822'
article_number: '075101'
article_processing_charge: No
author:
- first_name: Vojkan
full_name: Jakšić, Vojkan
last_name: Jakšić
- first_name: Claude
full_name: Pillet, Claude
last_name: Pillet
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Jakšić V, Pillet C, Seiringer R. Introduction. Journal of Mathematical Physics.
2014;55(7). doi:10.1063/1.4884877
apa: Jakšić, V., Pillet, C., & Seiringer, R. (2014). Introduction. Journal
of Mathematical Physics. American Institute of Physics. https://doi.org/10.1063/1.4884877
chicago: Jakšić, Vojkan, Claude Pillet, and Robert Seiringer. “Introduction.” Journal
of Mathematical Physics. American Institute of Physics, 2014. https://doi.org/10.1063/1.4884877.
ieee: V. Jakšić, C. Pillet, and R. Seiringer, “Introduction,” Journal of Mathematical
Physics, vol. 55, no. 7. American Institute of Physics, 2014.
ista: Jakšić V, Pillet C, Seiringer R. 2014. Introduction. Journal of Mathematical
Physics. 55(7), 075101.
mla: Jakšić, Vojkan, et al. “Introduction.” Journal of Mathematical Physics,
vol. 55, no. 7, 075101, American Institute of Physics, 2014, doi:10.1063/1.4884877.
short: V. Jakšić, C. Pillet, R. Seiringer, Journal of Mathematical Physics 55 (2014).
date_created: 2018-12-11T11:54:12Z
date_published: 2014-07-01T00:00:00Z
date_updated: 2025-09-29T13:12:51Z
day: '01'
department:
- _id: RoSe
doi: 10.1063/1.4884877
external_id:
isi:
- '000341174600001'
intvolume: ' 55'
isi: 1
issue: '7'
language:
- iso: eng
month: '07'
oa_version: None
publication: Journal of Mathematical Physics
publication_status: published
publisher: American Institute of Physics
publist_id: '5284'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Introduction
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 55
year: '2014'
...
---
_id: '2029'
abstract:
- lang: eng
text: Spin-wave theory is a key ingredient in our comprehension of quantum spin
systems, and is used successfully for understanding a wide range of magnetic phenomena,
including magnon condensation and stability of patterns in dipolar systems. Nevertheless,
several decades of research failed to establish the validity of spin-wave theory
rigorously, even for the simplest models of quantum spins. A rigorous justification
of the method for the three-dimensional quantum Heisenberg ferromagnet at low
temperatures is presented here. We derive sharp bounds on its free energy by combining
a bosonic formulation of the model introduced by Holstein and Primakoff with probabilistic
estimates and operator inequalities.
acknowledgement: 239694; ERC; European Research Council
article_number: '20003'
article_processing_charge: No
arxiv: 1
author:
- first_name: Michele
full_name: Correggi, Michele
last_name: Correggi
- first_name: Alessandro
full_name: Giuliani, Alessandro
last_name: Giuliani
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Correggi M, Giuliani A, Seiringer R. Validity of spin-wave theory for the quantum
Heisenberg model. EPL. 2014;108(2). doi:10.1209/0295-5075/108/20003
apa: Correggi, M., Giuliani, A., & Seiringer, R. (2014). Validity of spin-wave
theory for the quantum Heisenberg model. EPL. IOP Publishing. https://doi.org/10.1209/0295-5075/108/20003
chicago: Correggi, Michele, Alessandro Giuliani, and Robert Seiringer. “Validity
of Spin-Wave Theory for the Quantum Heisenberg Model.” EPL. IOP Publishing,
2014. https://doi.org/10.1209/0295-5075/108/20003.
ieee: M. Correggi, A. Giuliani, and R. Seiringer, “Validity of spin-wave theory
for the quantum Heisenberg model,” EPL, vol. 108, no. 2. IOP Publishing,
2014.
ista: Correggi M, Giuliani A, Seiringer R. 2014. Validity of spin-wave theory for
the quantum Heisenberg model. EPL. 108(2), 20003.
mla: Correggi, Michele, et al. “Validity of Spin-Wave Theory for the Quantum Heisenberg
Model.” EPL, vol. 108, no. 2, 20003, IOP Publishing, 2014, doi:10.1209/0295-5075/108/20003.
short: M. Correggi, A. Giuliani, R. Seiringer, EPL 108 (2014).
date_created: 2018-12-11T11:55:18Z
date_published: 2014-10-13T00:00:00Z
date_updated: 2025-09-29T11:55:55Z
day: '13'
department:
- _id: RoSe
doi: 10.1209/0295-5075/108/20003
external_id:
arxiv:
- '1404.4717'
isi:
- '000344913300003'
intvolume: ' 108'
isi: 1
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1404.4717
month: '10'
oa: 1
oa_version: Submitted Version
publication: EPL
publication_status: published
publisher: IOP Publishing
publist_id: '5044'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Validity of spin-wave theory for the quantum Heisenberg model
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 108
year: '2014'
...
---
_id: '1889'
abstract:
- lang: eng
text: We study translation-invariant quasi-free states for a system of fermions
with two-particle interactions. The associated energy functional is similar to
the BCS functional but also includes direct and exchange energies. We show that
for suitable short-range interactions, these latter terms only lead to a renormalization
of the chemical potential, with the usual properties of the BCS functional left
unchanged. Our analysis thus represents a rigorous justification of part of the
BCS approximation. We give bounds on the critical temperature below which the
system displays superfluidity.
acknowledgement: We would like to thank Max Lein and Andreas Deuchert for valuable
suggestions and remarks. Partial financial support by the NSERC (R.S.) is gratefully
acknowledged.
article_number: '1450012'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Gerhard
full_name: Bräunlich, Gerhard
last_name: Bräunlich
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Bräunlich G, Hainzl C, Seiringer R. Translation-invariant quasi-free states
for fermionic systems and the BCS approximation. Reviews in Mathematical Physics.
2014;26(7). doi:10.1142/S0129055X14500123
apa: Bräunlich, G., Hainzl, C., & Seiringer, R. (2014). Translation-invariant
quasi-free states for fermionic systems and the BCS approximation. Reviews
in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/S0129055X14500123
chicago: Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “Translation-Invariant
Quasi-Free States for Fermionic Systems and the BCS Approximation.” Reviews
in Mathematical Physics. World Scientific Publishing, 2014. https://doi.org/10.1142/S0129055X14500123.
ieee: G. Bräunlich, C. Hainzl, and R. Seiringer, “Translation-invariant quasi-free
states for fermionic systems and the BCS approximation,” Reviews in Mathematical
Physics, vol. 26, no. 7. World Scientific Publishing, 2014.
ista: Bräunlich G, Hainzl C, Seiringer R. 2014. Translation-invariant quasi-free
states for fermionic systems and the BCS approximation. Reviews in Mathematical
Physics. 26(7), 1450012.
mla: Bräunlich, Gerhard, et al. “Translation-Invariant Quasi-Free States for Fermionic
Systems and the BCS Approximation.” Reviews in Mathematical Physics, vol.
26, no. 7, 1450012, World Scientific Publishing, 2014, doi:10.1142/S0129055X14500123.
short: G. Bräunlich, C. Hainzl, R. Seiringer, Reviews in Mathematical Physics 26
(2014).
date_created: 2018-12-11T11:54:33Z
date_published: 2014-08-01T00:00:00Z
date_updated: 2025-09-29T13:07:59Z
day: '01'
department:
- _id: RoSe
doi: 10.1142/S0129055X14500123
external_id:
arxiv:
- '1305.5135'
isi:
- '000341933500002'
intvolume: ' 26'
isi: 1
issue: '7'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1305.5135
month: '08'
oa: 1
oa_version: Submitted Version
publication: Reviews in Mathematical Physics
publication_status: published
publisher: World Scientific Publishing
publist_id: '5206'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Translation-invariant quasi-free states for fermionic systems and the BCS approximation
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 26
year: '2014'
...
---
_id: '1904'
abstract:
- lang: eng
text: We prove a Strichartz inequality for a system of orthonormal functions, with
an optimal behavior of the constant in the limit of a large number of functions.
The estimate generalizes the usual Strichartz inequality, in the same fashion
as the Lieb-Thirring inequality generalizes the Sobolev inequality. As an application,
we consider the Schrödinger equation with a time-dependent potential and we show
the existence of the wave operator in Schatten spaces.
article_processing_charge: No
arxiv: 1
author:
- first_name: Rupert
full_name: Frank, Rupert
last_name: Frank
- first_name: Mathieu
full_name: Lewin, Mathieu
last_name: Lewin
- first_name: Élliott
full_name: Lieb, Élliott
last_name: Lieb
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Frank R, Lewin M, Lieb É, Seiringer R. Strichartz inequality for orthonormal
functions. Journal of the European Mathematical Society. 2014;16(7):1507-1526.
doi:10.4171/JEMS/467
apa: Frank, R., Lewin, M., Lieb, É., & Seiringer, R. (2014). Strichartz inequality
for orthonormal functions. Journal of the European Mathematical Society.
European Mathematical Society. https://doi.org/10.4171/JEMS/467
chicago: Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “Strichartz
Inequality for Orthonormal Functions.” Journal of the European Mathematical
Society. European Mathematical Society, 2014. https://doi.org/10.4171/JEMS/467.
ieee: R. Frank, M. Lewin, É. Lieb, and R. Seiringer, “Strichartz inequality for
orthonormal functions,” Journal of the European Mathematical Society, vol.
16, no. 7. European Mathematical Society, pp. 1507–1526, 2014.
ista: Frank R, Lewin M, Lieb É, Seiringer R. 2014. Strichartz inequality for orthonormal
functions. Journal of the European Mathematical Society. 16(7), 1507–1526.
mla: Frank, Rupert, et al. “Strichartz Inequality for Orthonormal Functions.” Journal
of the European Mathematical Society, vol. 16, no. 7, European Mathematical
Society, 2014, pp. 1507–26, doi:10.4171/JEMS/467.
short: R. Frank, M. Lewin, É. Lieb, R. Seiringer, Journal of the European Mathematical
Society 16 (2014) 1507–1526.
date_created: 2018-12-11T11:54:38Z
date_published: 2014-08-23T00:00:00Z
date_updated: 2025-09-29T12:28:54Z
day: '23'
department:
- _id: RoSe
doi: 10.4171/JEMS/467
external_id:
arxiv:
- '1306.1309'
isi:
- '000345494900006'
intvolume: ' 16'
isi: 1
issue: '7'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1306.1309
month: '08'
oa: 1
oa_version: Submitted Version
page: 1507 - 1526
project:
- _id: 26450934-B435-11E9-9278-68D0E5697425
name: NSERC Postdoctoral fellowship
publication: Journal of the European Mathematical Society
publication_status: published
publisher: European Mathematical Society
publist_id: '5191'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Strichartz inequality for orthonormal functions
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 16
year: '2014'
...
---
_id: '1918'
abstract:
- lang: eng
text: As the nuclear charge Z is continuously decreased an N-electron atom undergoes
a binding-unbinding transition. We investigate whether the electrons remain bound
and whether the radius of the system stays finite as the critical value Zc is
approached. Existence of a ground state at Zc is shown under the condition Zc
< N-K, where K is the maximal number of electrons that can be removed at Zc
without changing the energy.
article_number: '1350021'
article_processing_charge: No
arxiv: 1
author:
- first_name: Jacopo
full_name: Bellazzini, Jacopo
last_name: Bellazzini
- first_name: Rupert
full_name: Frank, Rupert
last_name: Frank
- first_name: Élliott
full_name: Lieb, Élliott
last_name: Lieb
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Bellazzini J, Frank R, Lieb É, Seiringer R. Existence of ground states for
negative ions at the binding threshold. Reviews in Mathematical Physics.
2014;26(1). doi:10.1142/S0129055X13500219
apa: Bellazzini, J., Frank, R., Lieb, É., & Seiringer, R. (2014). Existence
of ground states for negative ions at the binding threshold. Reviews in Mathematical
Physics. World Scientific Publishing. https://doi.org/10.1142/S0129055X13500219
chicago: Bellazzini, Jacopo, Rupert Frank, Élliott Lieb, and Robert Seiringer. “Existence
of Ground States for Negative Ions at the Binding Threshold.” Reviews in Mathematical
Physics. World Scientific Publishing, 2014. https://doi.org/10.1142/S0129055X13500219.
ieee: J. Bellazzini, R. Frank, É. Lieb, and R. Seiringer, “Existence of ground states
for negative ions at the binding threshold,” Reviews in Mathematical Physics,
vol. 26, no. 1. World Scientific Publishing, 2014.
ista: Bellazzini J, Frank R, Lieb É, Seiringer R. 2014. Existence of ground states
for negative ions at the binding threshold. Reviews in Mathematical Physics. 26(1),
1350021.
mla: Bellazzini, Jacopo, et al. “Existence of Ground States for Negative Ions at
the Binding Threshold.” Reviews in Mathematical Physics, vol. 26, no. 1,
1350021, World Scientific Publishing, 2014, doi:10.1142/S0129055X13500219.
short: J. Bellazzini, R. Frank, É. Lieb, R. Seiringer, Reviews in Mathematical Physics
26 (2014).
corr_author: '1'
date_created: 2018-12-11T11:54:42Z
date_published: 2014-02-01T00:00:00Z
date_updated: 2025-09-29T12:19:33Z
day: '01'
department:
- _id: RoSe
doi: 10.1142/S0129055X13500219
external_id:
arxiv:
- '1301.5370'
isi:
- '000329928300004'
intvolume: ' 26'
isi: 1
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1301.5370
month: '02'
oa: 1
oa_version: Submitted Version
project:
- _id: 26450934-B435-11E9-9278-68D0E5697425
name: NSERC Postdoctoral fellowship
publication: Reviews in Mathematical Physics
publication_status: published
publisher: World Scientific Publishing
publist_id: '5176'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Existence of ground states for negative ions at the binding threshold
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 26
year: '2014'
...
---
_id: '1935'
abstract:
- lang: eng
text: 'We consider Ising models in d = 2 and d = 3 dimensions with nearest neighbor
ferromagnetic and long-range antiferromagnetic interactions, the latter decaying
as (distance)-p, p > 2d, at large distances. If the strength J of the ferromagnetic
interaction is larger than a critical value J c, then the ground state is homogeneous.
It has been conjectured that when J is smaller than but close to J c, the ground
state is periodic and striped, with stripes of constant width h = h(J), and h
→ ∞ as J → Jc -. (In d = 3 stripes mean slabs, not columns.) Here we rigorously
prove that, if we normalize the energy in such a way that the energy of the homogeneous
state is zero, then the ratio e 0(J)/e S(J) tends to 1 as J → Jc -, with e S(J)
being the energy per site of the optimal periodic striped/slabbed state and e
0(J) the actual ground state energy per site of the system. Our proof comes with
explicit bounds on the difference e 0(J)-e S(J) at small but positive J c-J, and
also shows that in this parameter range the ground state is striped/slabbed in
a certain sense: namely, if one looks at a randomly chosen window, of suitable
size ℓ (very large compared to the optimal stripe size h(J)), one finds a striped/slabbed
state with high probability.'
acknowledgement: "2014 by the authors. This paper may be reproduced, in its entirety,
for non-commercial purposes.\r\n\r\nThe research leading to these results has received
funding from the European Research\r\nCouncil under the European Union’s Seventh
Framework Programme ERC Starting Grant CoMBoS (Grant Agreement No. 239694; A.G.
and R.S.), the U.S. National Science Foundation (Grant PHY 0965859; E.H.L.), the
Simons Foundation (Grant # 230207; E.H.L) and the NSERC (R.S.). The work is part
of a project started in collaboration with Joel Lebowitz, whom we thank for many
useful discussions and for his constant encouragement."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Alessandro
full_name: Giuliani, Alessandro
last_name: Giuliani
- first_name: Élliott
full_name: Lieb, Élliott
last_name: Lieb
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Giuliani A, Lieb É, Seiringer R. Formation of stripes and slabs near the ferromagnetic
transition. Communications in Mathematical Physics. 2014;331:333-350. doi:10.1007/s00220-014-1923-2
apa: Giuliani, A., Lieb, É., & Seiringer, R. (2014). Formation of stripes and
slabs near the ferromagnetic transition. Communications in Mathematical Physics.
Springer. https://doi.org/10.1007/s00220-014-1923-2
chicago: Giuliani, Alessandro, Élliott Lieb, and Robert Seiringer. “Formation of
Stripes and Slabs near the Ferromagnetic Transition.” Communications in Mathematical
Physics. Springer, 2014. https://doi.org/10.1007/s00220-014-1923-2.
ieee: A. Giuliani, É. Lieb, and R. Seiringer, “Formation of stripes and slabs near
the ferromagnetic transition,” Communications in Mathematical Physics,
vol. 331. Springer, pp. 333–350, 2014.
ista: Giuliani A, Lieb É, Seiringer R. 2014. Formation of stripes and slabs near
the ferromagnetic transition. Communications in Mathematical Physics. 331, 333–350.
mla: Giuliani, Alessandro, et al. “Formation of Stripes and Slabs near the Ferromagnetic
Transition.” Communications in Mathematical Physics, vol. 331, Springer,
2014, pp. 333–50, doi:10.1007/s00220-014-1923-2.
short: A. Giuliani, É. Lieb, R. Seiringer, Communications in Mathematical Physics
331 (2014) 333–350.
date_created: 2018-12-11T11:54:48Z
date_published: 2014-10-01T00:00:00Z
date_updated: 2025-09-29T12:08:54Z
day: '01'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s00220-014-1923-2
external_id:
arxiv:
- '1304.6344'
isi:
- '000339732500011'
file:
- access_level: open_access
checksum: c8423271cd1e1ba9e44c47af75efe7b6
content_type: application/pdf
creator: dernst
date_created: 2022-05-24T08:30:40Z
date_updated: 2022-05-24T08:30:40Z
file_id: '11409'
file_name: 2014_CommMathPhysics_Giuliani.pdf
file_size: 334064
relation: main_file
success: 1
file_date_updated: 2022-05-24T08:30:40Z
has_accepted_license: '1'
intvolume: ' 331'
isi: 1
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: 333 - 350
publication: Communications in Mathematical Physics
publication_identifier:
eissn:
- 1432-0916
issn:
- 0010-3616
publication_status: published
publisher: Springer
publist_id: '5159'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Formation of stripes and slabs near the ferromagnetic transition
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 331
year: '2014'
...
---
_id: '1516'
abstract:
- lang: eng
text: "We present a rigorous derivation of the BCS gap equation for superfluid fermionic
gases with point interactions. Our starting point is the BCS energy functional,
whose minimizer we investigate in the limit when the range of the interaction
potential goes to zero.\r\n"
article_processing_charge: No
arxiv: 1
author:
- first_name: Gerhard
full_name: Bräunlich, Gerhard
last_name: Bräunlich
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: 'Bräunlich G, Hainzl C, Seiringer R. On the BCS gap equation for superfluid
fermionic gases. In: Proceedings of the QMath12 Conference. World Scientific
Publishing; 2014:127-137. doi:10.1142/9789814618144_0007'
apa: 'Bräunlich, G., Hainzl, C., & Seiringer, R. (2014). On the BCS gap equation
for superfluid fermionic gases. In Proceedings of the QMath12 Conference
(pp. 127–137). Berlin, Germany: World Scientific Publishing. https://doi.org/10.1142/9789814618144_0007'
chicago: Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “On the BCS
Gap Equation for Superfluid Fermionic Gases.” In Proceedings of the QMath12
Conference, 127–37. World Scientific Publishing, 2014. https://doi.org/10.1142/9789814618144_0007.
ieee: G. Bräunlich, C. Hainzl, and R. Seiringer, “On the BCS gap equation for superfluid
fermionic gases,” in Proceedings of the QMath12 Conference, Berlin, Germany,
2014, pp. 127–137.
ista: 'Bräunlich G, Hainzl C, Seiringer R. 2014. On the BCS gap equation for superfluid
fermionic gases. Proceedings of the QMath12 Conference. QMath: Mathematical Results
in Quantum Physics, 127–137.'
mla: Bräunlich, Gerhard, et al. “On the BCS Gap Equation for Superfluid Fermionic
Gases.” Proceedings of the QMath12 Conference, World Scientific Publishing,
2014, pp. 127–37, doi:10.1142/9789814618144_0007.
short: G. Bräunlich, C. Hainzl, R. Seiringer, in:, Proceedings of the QMath12 Conference,
World Scientific Publishing, 2014, pp. 127–137.
conference:
end_date: 2013-09-13
location: Berlin, Germany
name: 'QMath: Mathematical Results in Quantum Physics'
start_date: 2013-09-10
date_created: 2018-12-11T11:52:28Z
date_published: 2014-01-01T00:00:00Z
date_updated: 2021-01-12T06:51:19Z
day: '01'
department:
- _id: RoSe
doi: 10.1142/9789814618144_0007
external_id:
arxiv:
- '1403.2563'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1403.2563
month: '01'
oa: 1
oa_version: Preprint
page: 127 - 137
publication: Proceedings of the QMath12 Conference
publication_status: published
publisher: World Scientific Publishing
publist_id: '5661'
quality_controlled: '1'
status: public
title: On the BCS gap equation for superfluid fermionic gases
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2014'
...
---
_id: '10814'
abstract:
- lang: eng
text: We review recent progress towards a rigorous understanding of the excitation
spectrum of bosonic quantum many-body systems. In particular, we explain how one
can rigorously establish the predictions resulting from the Bogoliubov approximation
in the mean field limit. The latter predicts that the spectrum is made up of elementary
excitations, whose energy behaves linearly in the momentum for small momentum.
This property is crucial for the superfluid behavior of the system. We also discuss
a list of open problems in this field.
article_processing_charge: No
article_type: original
author:
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Seiringer R. The excitation spectrum for Bose fluids with weak interactions.
Jahresbericht der Deutschen Mathematiker-Vereinigung. 2014;116:21-41. doi:10.1365/s13291-014-0083-9
apa: Seiringer, R. (2014). The excitation spectrum for Bose fluids with weak interactions.
Jahresbericht Der Deutschen Mathematiker-Vereinigung. Springer Nature.
https://doi.org/10.1365/s13291-014-0083-9
chicago: Seiringer, Robert. “The Excitation Spectrum for Bose Fluids with Weak Interactions.”
Jahresbericht Der Deutschen Mathematiker-Vereinigung. Springer Nature,
2014. https://doi.org/10.1365/s13291-014-0083-9.
ieee: R. Seiringer, “The excitation spectrum for Bose fluids with weak interactions,”
Jahresbericht der Deutschen Mathematiker-Vereinigung, vol. 116. Springer
Nature, pp. 21–41, 2014.
ista: Seiringer R. 2014. The excitation spectrum for Bose fluids with weak interactions.
Jahresbericht der Deutschen Mathematiker-Vereinigung. 116, 21–41.
mla: Seiringer, Robert. “The Excitation Spectrum for Bose Fluids with Weak Interactions.”
Jahresbericht Der Deutschen Mathematiker-Vereinigung, vol. 116, Springer
Nature, 2014, pp. 21–41, doi:10.1365/s13291-014-0083-9.
short: R. Seiringer, Jahresbericht Der Deutschen Mathematiker-Vereinigung 116 (2014)
21–41.
corr_author: '1'
date_created: 2022-03-04T07:54:39Z
date_published: 2014-03-01T00:00:00Z
date_updated: 2024-10-09T21:01:45Z
day: '01'
department:
- _id: RoSe
doi: 10.1365/s13291-014-0083-9
intvolume: ' 116'
keyword:
- General Medicine
language:
- iso: eng
month: '03'
oa_version: None
page: 21-41
publication: Jahresbericht der Deutschen Mathematiker-Vereinigung
publication_identifier:
eissn:
- 1869-7135
issn:
- 0012-0456
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: The excitation spectrum for Bose fluids with weak interactions
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 116
year: '2014'
...
---
_id: '2186'
abstract:
- lang: eng
text: We prove the existence of scattering states for the defocusing cubic Gross-Pitaevskii
(GP) hierarchy in ℝ3. Moreover, we show that an exponential energy growth condition
commonly used in the well-posedness theory of the GP hierarchy is, in a specific
sense, necessary. In fact, we prove that without the latter, there exist initial
data for the focusing cubic GP hierarchy for which instantaneous blowup occurs.
article_processing_charge: No
arxiv: 1
author:
- first_name: Thomas
full_name: Chen, Thomas
last_name: Chen
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Nataša
full_name: Pavlović, Nataša
last_name: Pavlović
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Chen T, Hainzl C, Pavlović N, Seiringer R. On the well-posedness and scattering
for the Gross-Pitaevskii hierarchy via quantum de Finetti. Letters in Mathematical
Physics. 2014;104(7):871-891. doi:10.1007/s11005-014-0693-2
apa: Chen, T., Hainzl, C., Pavlović, N., & Seiringer, R. (2014). On the well-posedness
and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti. Letters
in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-014-0693-2
chicago: Chen, Thomas, Christian Hainzl, Nataša Pavlović, and Robert Seiringer.
“On the Well-Posedness and Scattering for the Gross-Pitaevskii Hierarchy via Quantum
de Finetti.” Letters in Mathematical Physics. Springer, 2014. https://doi.org/10.1007/s11005-014-0693-2.
ieee: T. Chen, C. Hainzl, N. Pavlović, and R. Seiringer, “On the well-posedness
and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti,” Letters
in Mathematical Physics, vol. 104, no. 7. Springer, pp. 871–891, 2014.
ista: Chen T, Hainzl C, Pavlović N, Seiringer R. 2014. On the well-posedness and
scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti. Letters
in Mathematical Physics. 104(7), 871–891.
mla: Chen, Thomas, et al. “On the Well-Posedness and Scattering for the Gross-Pitaevskii
Hierarchy via Quantum de Finetti.” Letters in Mathematical Physics, vol.
104, no. 7, Springer, 2014, pp. 871–91, doi:10.1007/s11005-014-0693-2.
short: T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Letters in Mathematical Physics
104 (2014) 871–891.
date_created: 2018-12-11T11:56:12Z
date_published: 2014-05-07T00:00:00Z
date_updated: 2025-09-29T11:33:31Z
day: '07'
department:
- _id: RoSe
doi: 10.1007/s11005-014-0693-2
external_id:
arxiv:
- '1311.2136'
isi:
- '000336412300005'
intvolume: ' 104'
isi: 1
issue: '7'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1311.2136
month: '05'
oa: 1
oa_version: Submitted Version
page: 871 - 891
project:
- _id: 26450934-B435-11E9-9278-68D0E5697425
name: NSERC Postdoctoral fellowship
publication: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4793'
quality_controlled: '1'
scopus_import: '1'
status: public
title: On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via
quantum de Finetti
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 104
year: '2014'
...
---
_id: '2281'
abstract:
- lang: eng
text: We consider two-dimensional Bose-Einstein condensates with attractive interaction,
described by the Gross-Pitaevskii functional. Minimizers of this functional exist
only if the interaction strength a satisfies {Mathematical expression}, where
Q is the unique positive radial solution of {Mathematical expression} in {Mathematical
expression}. We present a detailed analysis of the behavior of minimizers as a
approaches a*, where all the mass concentrates at a global minimum of the trapping
potential.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Yujin
full_name: Guo, Yujin
last_name: Guo
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Guo Y, Seiringer R. On the mass concentration for Bose-Einstein condensates
with attractive interactions. Letters in Mathematical Physics. 2014;104(2):141-156.
doi:10.1007/s11005-013-0667-9
apa: Guo, Y., & Seiringer, R. (2014). On the mass concentration for Bose-Einstein
condensates with attractive interactions. Letters in Mathematical Physics.
Springer. https://doi.org/10.1007/s11005-013-0667-9
chicago: Guo, Yujin, and Robert Seiringer. “On the Mass Concentration for Bose-Einstein
Condensates with Attractive Interactions.” Letters in Mathematical Physics.
Springer, 2014. https://doi.org/10.1007/s11005-013-0667-9.
ieee: Y. Guo and R. Seiringer, “On the mass concentration for Bose-Einstein condensates
with attractive interactions,” Letters in Mathematical Physics, vol. 104,
no. 2. Springer, pp. 141–156, 2014.
ista: Guo Y, Seiringer R. 2014. On the mass concentration for Bose-Einstein condensates
with attractive interactions. Letters in Mathematical Physics. 104(2), 141–156.
mla: Guo, Yujin, and Robert Seiringer. “On the Mass Concentration for Bose-Einstein
Condensates with Attractive Interactions.” Letters in Mathematical Physics,
vol. 104, no. 2, Springer, 2014, pp. 141–56, doi:10.1007/s11005-013-0667-9.
short: Y. Guo, R. Seiringer, Letters in Mathematical Physics 104 (2014) 141–156.
corr_author: '1'
date_created: 2018-12-11T11:56:44Z
date_published: 2014-02-01T00:00:00Z
date_updated: 2025-09-29T11:12:19Z
day: '01'
department:
- _id: RoSe
doi: 10.1007/s11005-013-0667-9
external_id:
arxiv:
- '1301.5682'
isi:
- '000330128000002'
intvolume: ' 104'
isi: 1
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1301.5682
month: '02'
oa: 1
oa_version: Preprint
page: 141 - 156
publication: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4653'
quality_controlled: '1'
scopus_import: '1'
status: public
title: On the mass concentration for Bose-Einstein condensates with attractive interactions
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 104
year: '2014'
...
---
OA_place: publisher
OA_type: free access
_id: '8044'
abstract:
- lang: eng
text: Many questions concerning models in quantum mechanics require a detailed analysis
of the spectrum of the corresponding Hamiltonian, a linear operator on a suitable
Hilbert space. Of particular relevance for an understanding of the low-temperature
properties of a system is the structure of the excitation spectrum, which is the
part of the spectrum close to the spectral bottom. We present recent progress
on this question for bosonic many-body quantum systems with weak two-body interactions.
Such system are currently of great interest, due to their experimental realization
in ultra-cold atomic gases. We investigate the accuracy of the Bogoliubov approximations,
which predicts that the low-energy spectrum is made up of sums of elementary excitations,
with linear dispersion law at low momentum. The latter property is crucial for
the superfluid behavior the system.
article_processing_charge: No
author:
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: 'Seiringer R. Structure of the excitation spectrum for many-body quantum systems.
In: Proceeding of the International Congress of Mathematicans. Vol 3. International
Congress of Mathematicians; 2014:1175-1194.'
apa: 'Seiringer, R. (2014). Structure of the excitation spectrum for many-body quantum
systems. In Proceeding of the International Congress of Mathematicans (Vol.
3, pp. 1175–1194). Seoul, South Korea: International Congress of Mathematicians.'
chicago: Seiringer, Robert. “Structure of the Excitation Spectrum for Many-Body
Quantum Systems.” In Proceeding of the International Congress of Mathematicans,
3:1175–94. International Congress of Mathematicians, 2014.
ieee: R. Seiringer, “Structure of the excitation spectrum for many-body quantum
systems,” in Proceeding of the International Congress of Mathematicans,
Seoul, South Korea, 2014, vol. 3, pp. 1175–1194.
ista: 'Seiringer R. 2014. Structure of the excitation spectrum for many-body quantum
systems. Proceeding of the International Congress of Mathematicans. ICM: International
Congress of Mathematicans vol. 3, 1175–1194.'
mla: Seiringer, Robert. “Structure of the Excitation Spectrum for Many-Body Quantum
Systems.” Proceeding of the International Congress of Mathematicans, vol.
3, International Congress of Mathematicians, 2014, pp. 1175–94.
short: R. Seiringer, in:, Proceeding of the International Congress of Mathematicans,
International Congress of Mathematicians, 2014, pp. 1175–1194.
conference:
end_date: 2014-08-21
location: Seoul, South Korea
name: 'ICM: International Congress of Mathematicans'
start_date: 2014-08-13
corr_author: '1'
date_created: 2020-06-29T07:59:35Z
date_published: 2014-08-01T00:00:00Z
date_updated: 2025-07-15T08:39:50Z
day: '01'
department:
- _id: RoSe
intvolume: ' 3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://www.icm2014.org/en/vod/proceedings.html
month: '08'
oa: 1
oa_version: Published Version
page: 1175-1194
publication: Proceeding of the International Congress of Mathematicans
publication_identifier:
isbn:
- '9788961058063'
publication_status: published
publisher: International Congress of Mathematicians
quality_controlled: '1'
scopus_import: '1'
status: public
title: Structure of the excitation spectrum for many-body quantum systems
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 3
year: '2014'
...
---
_id: '2297'
abstract:
- lang: eng
text: We present an overview of mathematical results on the low temperature properties
of dilute quantum gases, which have been obtained in the past few years. The presentation
includes a discussion of Bose-Einstein condensation, the excitation spectrum for
trapped gases and its relation to superfluidity, as well as the appearance of
quantized vortices in rotating systems. All these properties are intensely being
studied in current experiments on cold atomic gases. We will give a description
of the mathematics involved in understanding these phenomena, starting from the
underlying many-body Schrödinger equation.
article_processing_charge: No
arxiv: 1
author:
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: 'Seiringer R. Hot topics in cold gases: A mathematical physics perspective.
Japanese Journal of Mathematics. 2013;8(2):185-232. doi:10.1007/s11537-013-1264-5'
apa: 'Seiringer, R. (2013). Hot topics in cold gases: A mathematical physics perspective.
Japanese Journal of Mathematics. Springer. https://doi.org/10.1007/s11537-013-1264-5'
chicago: 'Seiringer, Robert. “Hot Topics in Cold Gases: A Mathematical Physics Perspective.”
Japanese Journal of Mathematics. Springer, 2013. https://doi.org/10.1007/s11537-013-1264-5.'
ieee: 'R. Seiringer, “Hot topics in cold gases: A mathematical physics perspective,”
Japanese Journal of Mathematics, vol. 8, no. 2. Springer, pp. 185–232,
2013.'
ista: 'Seiringer R. 2013. Hot topics in cold gases: A mathematical physics perspective.
Japanese Journal of Mathematics. 8(2), 185–232.'
mla: 'Seiringer, Robert. “Hot Topics in Cold Gases: A Mathematical Physics Perspective.”
Japanese Journal of Mathematics, vol. 8, no. 2, Springer, 2013, pp. 185–232,
doi:10.1007/s11537-013-1264-5.'
short: R. Seiringer, Japanese Journal of Mathematics 8 (2013) 185–232.
corr_author: '1'
date_created: 2018-12-11T11:56:50Z
date_published: 2013-09-24T00:00:00Z
date_updated: 2025-09-29T14:19:17Z
day: '24'
department:
- _id: RoSe
doi: 10.1007/s11537-013-1264-5
external_id:
arxiv:
- '0908.3686'
isi:
- '000324648700001'
intvolume: ' 8'
isi: 1
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/0908.3686
month: '09'
oa: 1
oa_version: Preprint
page: 185 - 232
publication: Japanese Journal of Mathematics
publication_status: published
publisher: Springer
publist_id: '4631'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Hot topics in cold gases: A mathematical physics perspective'
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 8
year: '2013'
...