---
_id: '18187'
abstract:
- lang: eng
  text: Quasicrystals are ordered but not periodic, which makes them fascinating objects
    at the interface between order and disorder. Experiments with ultracold atoms
    zoom in on this interface by driving a quasicrystal and exploring its fractal
    properties.
article_processing_charge: No
article_type: letter_note
author:
- first_name: Julian
  full_name: Leonard, Julian
  id: b75b3f45-7995-11ef-9bfd-9a9cd02c3577
  last_name: Leonard
  orcid: 0000-0003-3696-6870
citation:
  ama: Leonard J. A kicked quasicrystal. <i>Nature Physics</i>. 2024;20(3):351-352.
    doi:<a href="https://doi.org/10.1038/s41567-023-02357-0">10.1038/s41567-023-02357-0</a>
  apa: Leonard, J. (2024). A kicked quasicrystal. <i>Nature Physics</i>. Springer
    Nature. <a href="https://doi.org/10.1038/s41567-023-02357-0">https://doi.org/10.1038/s41567-023-02357-0</a>
  chicago: Leonard, Julian. “A Kicked Quasicrystal.” <i>Nature Physics</i>. Springer
    Nature, 2024. <a href="https://doi.org/10.1038/s41567-023-02357-0">https://doi.org/10.1038/s41567-023-02357-0</a>.
  ieee: J. Leonard, “A kicked quasicrystal,” <i>Nature Physics</i>, vol. 20, no. 3.
    Springer Nature, pp. 351–352, 2024.
  ista: Leonard J. 2024. A kicked quasicrystal. Nature Physics. 20(3), 351–352.
  mla: Leonard, Julian. “A Kicked Quasicrystal.” <i>Nature Physics</i>, vol. 20, no.
    3, Springer Nature, 2024, pp. 351–52, doi:<a href="https://doi.org/10.1038/s41567-023-02357-0">10.1038/s41567-023-02357-0</a>.
  short: J. Leonard, Nature Physics 20 (2024) 351–352.
date_created: 2024-10-07T11:45:17Z
date_published: 2024-01-19T00:00:00Z
date_updated: 2024-10-14T07:54:20Z
day: '19'
doi: 10.1038/s41567-023-02357-0
extern: '1'
intvolume: '        20'
issue: '3'
language:
- iso: eng
month: '01'
oa_version: None
page: 351-352
publication: Nature Physics
publication_identifier:
  eissn:
  - 1745-2481
  issn:
  - 1745-2473
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: A kicked quasicrystal
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 20
year: '2024'
...
---
_id: '18188'
abstract:
- lang: eng
  text: New generations of ultracold-atom experiments are continually raising the
    demand for efficient solutions to optimal control problems. Here, we apply Bayesian
    optimization to improve a state-preparation protocol recently implemented in an
    ultracold-atom system to realize a two-particle fractional quantum Hall state.
    Compared to manual ramp design, we demonstrate the superior performance of our
    optimization approach in a numerical simulation – resulting in a protocol that
    is 10x faster at the same fidelity, even when taking into account experimentally
    realistic levels of disorder in the system. We extensively analyze and discuss
    questions of robustness and the relationship between numerical simulation and
    experimental realization, and how to make the best use of the surrogate model
    trained during optimization. We find that numerical simulation can be expected
    to substantially reduce the number of experiments that need to be performed with
    even the most basic transfer learning techniques. The proposed protocol and workflow
    will pave the way toward the realization of more complex many-body quantum states
    in experiments.
article_number: '1388'
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Tizian
  full_name: Blatz, Tizian
  last_name: Blatz
- first_name: Joyce
  full_name: Kwan, Joyce
  last_name: Kwan
- first_name: Julian
  full_name: Leonard, Julian
  id: b75b3f45-7995-11ef-9bfd-9a9cd02c3577
  last_name: Leonard
- first_name: Annabelle
  full_name: Bohrdt, Annabelle
  last_name: Bohrdt
citation:
  ama: Blatz T, Kwan J, Leonard J, Bohrdt A. Bayesian optimization for robust state
    preparation in quantum many-body systems. <i>Quantum</i>. 2024;8. doi:<a href="https://doi.org/10.22331/q-2024-06-27-1388">10.22331/q-2024-06-27-1388</a>
  apa: Blatz, T., Kwan, J., Leonard, J., &#38; Bohrdt, A. (2024). Bayesian optimization
    for robust state preparation in quantum many-body systems. <i>Quantum</i>. Verein
    zur Förderung des Open Access Publizierens in den Quantenwissenschaften. <a href="https://doi.org/10.22331/q-2024-06-27-1388">https://doi.org/10.22331/q-2024-06-27-1388</a>
  chicago: Blatz, Tizian, Joyce Kwan, Julian Leonard, and Annabelle Bohrdt. “Bayesian
    Optimization for Robust State Preparation in Quantum Many-Body Systems.” <i>Quantum</i>.
    Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften,
    2024. <a href="https://doi.org/10.22331/q-2024-06-27-1388">https://doi.org/10.22331/q-2024-06-27-1388</a>.
  ieee: T. Blatz, J. Kwan, J. Leonard, and A. Bohrdt, “Bayesian optimization for robust
    state preparation in quantum many-body systems,” <i>Quantum</i>, vol. 8. Verein
    zur Förderung des Open Access Publizierens in den Quantenwissenschaften, 2024.
  ista: Blatz T, Kwan J, Leonard J, Bohrdt A. 2024. Bayesian optimization for robust
    state preparation in quantum many-body systems. Quantum. 8, 1388.
  mla: Blatz, Tizian, et al. “Bayesian Optimization for Robust State Preparation in
    Quantum Many-Body Systems.” <i>Quantum</i>, vol. 8, 1388, Verein zur Förderung
    des Open Access Publizierens in den Quantenwissenschaften, 2024, doi:<a href="https://doi.org/10.22331/q-2024-06-27-1388">10.22331/q-2024-06-27-1388</a>.
  short: T. Blatz, J. Kwan, J. Leonard, A. Bohrdt, Quantum 8 (2024).
date_created: 2024-10-07T11:45:56Z
date_published: 2024-06-27T00:00:00Z
date_updated: 2024-10-08T11:15:55Z
day: '27'
doi: 10.22331/q-2024-06-27-1388
extern: '1'
external_id:
  arxiv:
  - '2312.09253'
intvolume: '         8'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.22331/q-2024-06-27-1388
month: '06'
oa: 1
oa_version: Published Version
publication: Quantum
publication_identifier:
  issn:
  - 2521-327X
publication_status: published
publisher: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
quality_controlled: '1'
scopus_import: '1'
status: public
title: Bayesian optimization for robust state preparation in quantum many-body systems
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 8
year: '2024'
...
---
_id: '18202'
abstract:
- lang: eng
  text: "We report on adiabatic state preparation in the one-dimensional quantum Ising\r\nmodel
    using ultracold bosons in a tilted optical lattice. We prepare many-body\r\nground
    states of controllable system sizes and observe enhanced fluctuations\r\naround
    the transition between paramagnetic and antiferromagnetic states,\r\nmarking the
    precursor of quantum critical behavior. Furthermore, we find\r\nevidence for superpositions
    of domain walls and study their effect on the\r\nmany-body ground state by measuring
    the populations of each spin configuration\r\nacross the transition. These results
    shed new light on the effect of boundary\r\nconditions in finite-size quantum
    systems."
article_number: '2404.07481'
article_processing_charge: No
arxiv: 1
author:
- first_name: Sooshin
  full_name: Kim, Sooshin
  last_name: Kim
- first_name: Alexander
  full_name: Lukin, Alexander
  last_name: Lukin
- first_name: Matthew
  full_name: Rispoli, Matthew
  last_name: Rispoli
- first_name: M. Eric
  full_name: Tai, M. Eric
  last_name: Tai
- first_name: Adam M.
  full_name: Kaufman, Adam M.
  last_name: Kaufman
- first_name: Perrin
  full_name: Segura, Perrin
  last_name: Segura
- first_name: Yanfei
  full_name: Li, Yanfei
  last_name: Li
- first_name: Joyce
  full_name: Kwan, Joyce
  last_name: Kwan
- first_name: Julian
  full_name: Leonard, Julian
  id: b75b3f45-7995-11ef-9bfd-9a9cd02c3577
  last_name: Leonard
- first_name: Brice Bakkali-Hassani
  full_name: Brice Bakkali-Hassani, Brice Bakkali-Hassani
  last_name: Brice Bakkali-Hassani
- first_name: Markus
  full_name: Greiner, Markus
  last_name: Greiner
citation:
  ama: Kim S, Lukin A, Rispoli M, et al. Adiabatic state preparation in a quantum
    Ising spin chain. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/arXiv.2404.07481">10.48550/arXiv.2404.07481</a>
  apa: Kim, S., Lukin, A., Rispoli, M., Tai, M. E., Kaufman, A. M., Segura, P., …
    Greiner, M. (n.d.). Adiabatic state preparation in a quantum Ising spin chain.
    <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2404.07481">https://doi.org/10.48550/arXiv.2404.07481</a>
  chicago: Kim, Sooshin, Alexander Lukin, Matthew Rispoli, M. Eric Tai, Adam M. Kaufman,
    Perrin Segura, Yanfei Li, et al. “Adiabatic State Preparation in a Quantum Ising
    Spin Chain.” <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/arXiv.2404.07481">https://doi.org/10.48550/arXiv.2404.07481</a>.
  ieee: S. Kim <i>et al.</i>, “Adiabatic state preparation in a quantum Ising spin
    chain,” <i>arXiv</i>. .
  ista: Kim S, Lukin A, Rispoli M, Tai ME, Kaufman AM, Segura P, Li Y, Kwan J, Leonard
    J, Brice Bakkali-Hassani BB-H, Greiner M. Adiabatic state preparation in a quantum
    Ising spin chain. arXiv, 2404.07481.
  mla: Kim, Sooshin, et al. “Adiabatic State Preparation in a Quantum Ising Spin Chain.”
    <i>ArXiv</i>, 2404.07481, doi:<a href="https://doi.org/10.48550/arXiv.2404.07481">10.48550/arXiv.2404.07481</a>.
  short: S. Kim, A. Lukin, M. Rispoli, M.E. Tai, A.M. Kaufman, P. Segura, Y. Li, J.
    Kwan, J. Leonard, B.B.-H. Brice Bakkali-Hassani, M. Greiner, ArXiv (n.d.).
date_created: 2024-10-08T11:25:52Z
date_published: 2024-04-11T00:00:00Z
date_updated: 2024-10-08T11:28:26Z
day: '11'
doi: 10.48550/arXiv.2404.07481
extern: '1'
external_id:
  arxiv:
  - '2404.07481'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2404.07481
month: '04'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: submitted
status: public
title: Adiabatic state preparation in a quantum Ising spin chain
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2024'
...
---
_id: '18189'
abstract:
- lang: eng
  text: 'Strongly interacting topological matter1 exhibits fundamentally new phenomena
    with potential applications in quantum information technology2,3. Emblematic instances
    are fractional quantum Hall (FQH) states4, in which the interplay of a magnetic
    field and strong interactions gives rise to fractionally charged quasi-particles,
    long-ranged entanglement and anyonic exchange statistics. Progress in engineering
    synthetic magnetic fields5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21 has raised
    the hope to create these exotic states in controlled quantum systems. However,
    except for a recent Laughlin state of light22, preparing FQH states in engineered
    systems remains elusive. Here we realize a FQH state with ultracold atoms in an
    optical lattice. The state is a lattice version of a bosonic ν = 1/2 Laughlin
    state4,23 with two particles on 16 sites. This minimal system already captures
    many hallmark features of Laughlin-type FQH states24,25,26,27,28: we observe a
    suppression of two-body interactions, we find a distinctive vortex structure in
    the density correlations and we measure a fractional Hall conductivity of σH/σ0 = 0.6(2)
    by means of the bulk response to a magnetic perturbation. Furthermore, by tuning
    the magnetic field, we map out the transition point between the normal and the
    FQH regime through a spectroscopic investigation of the many-body gap. Our work
    provides a starting point for exploring highly entangled topological matter with
    ultracold atoms29,30,31,32,33.'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Julian
  full_name: Leonard, Julian
  id: b75b3f45-7995-11ef-9bfd-9a9cd02c3577
  last_name: Leonard
- first_name: Sooshin
  full_name: Kim, Sooshin
  last_name: Kim
- first_name: Joyce
  full_name: Kwan, Joyce
  last_name: Kwan
- first_name: Perrin
  full_name: Segura, Perrin
  last_name: Segura
- first_name: Fabian
  full_name: Grusdt, Fabian
  last_name: Grusdt
- first_name: Cécile
  full_name: Repellin, Cécile
  last_name: Repellin
- first_name: Nathan
  full_name: Goldman, Nathan
  last_name: Goldman
- first_name: Markus
  full_name: Greiner, Markus
  last_name: Greiner
citation:
  ama: Leonard J, Kim S, Kwan J, et al. Realization of a fractional quantum Hall state
    with ultracold atoms. <i>Nature</i>. 2023;619(7970):495-499. doi:<a href="https://doi.org/10.1038/s41586-023-06122-4">10.1038/s41586-023-06122-4</a>
  apa: Leonard, J., Kim, S., Kwan, J., Segura, P., Grusdt, F., Repellin, C., … Greiner,
    M. (2023). Realization of a fractional quantum Hall state with ultracold atoms.
    <i>Nature</i>. Springer Nature. <a href="https://doi.org/10.1038/s41586-023-06122-4">https://doi.org/10.1038/s41586-023-06122-4</a>
  chicago: Leonard, Julian, Sooshin Kim, Joyce Kwan, Perrin Segura, Fabian Grusdt,
    Cécile Repellin, Nathan Goldman, and Markus Greiner. “Realization of a Fractional
    Quantum Hall State with Ultracold Atoms.” <i>Nature</i>. Springer Nature, 2023.
    <a href="https://doi.org/10.1038/s41586-023-06122-4">https://doi.org/10.1038/s41586-023-06122-4</a>.
  ieee: J. Leonard <i>et al.</i>, “Realization of a fractional quantum Hall state
    with ultracold atoms,” <i>Nature</i>, vol. 619, no. 7970. Springer Nature, pp.
    495–499, 2023.
  ista: Leonard J, Kim S, Kwan J, Segura P, Grusdt F, Repellin C, Goldman N, Greiner
    M. 2023. Realization of a fractional quantum Hall state with ultracold atoms.
    Nature. 619(7970), 495–499.
  mla: Leonard, Julian, et al. “Realization of a Fractional Quantum Hall State with
    Ultracold Atoms.” <i>Nature</i>, vol. 619, no. 7970, Springer Nature, 2023, pp.
    495–99, doi:<a href="https://doi.org/10.1038/s41586-023-06122-4">10.1038/s41586-023-06122-4</a>.
  short: J. Leonard, S. Kim, J. Kwan, P. Segura, F. Grusdt, C. Repellin, N. Goldman,
    M. Greiner, Nature 619 (2023) 495–499.
date_created: 2024-10-07T11:46:13Z
date_published: 2023-06-21T00:00:00Z
date_updated: 2024-10-08T11:09:24Z
day: '21'
doi: 10.1038/s41586-023-06122-4
extern: '1'
external_id:
  arxiv:
  - '2210.10919'
  pmid:
  - '37344594 '
intvolume: '       619'
issue: '7970'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2210.10919
month: '06'
oa: 1
oa_version: Preprint
page: 495-499
pmid: 1
publication: Nature
publication_identifier:
  eissn:
  - 1476-4687
  issn:
  - 0028-0836
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Realization of a fractional quantum Hall state with ultracold atoms
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 619
year: '2023'
...
---
_id: '18190'
abstract:
- lang: eng
  text: Strongly correlated systems can exhibit unexpected phenomena when brought
    in a state far from equilibrium. An example is many-body localization, which prevents
    generic interacting systems from reaching thermal equilibrium even at long times1,2.
    The stability of the many-body localized phase has been predicted to be hindered
    by the presence of small thermal inclusions that act as a bath, leading to the
    delocalization of the entire system through an avalanche propagation mechanism3,4,5,6,7,8.
    Here we study the dynamics of a thermal inclusion of variable size when it is
    coupled to a many-body localized system. We find evidence for accelerated transport
    of thermal inclusion into the localized region. We monitor how the avalanche spreads
    through the localized system and thermalizes it site by site by measuring the
    site-resolved entropy over time. Furthermore, we isolate the strongly correlated
    bath-induced dynamics with multipoint correlations between the bath and the system.
    Our results have implications on the robustness of many-body localized systems
    and their critical behaviour.
article_processing_charge: No
article_type: letter_note
arxiv: 1
author:
- first_name: Julian
  full_name: Leonard, Julian
  id: b75b3f45-7995-11ef-9bfd-9a9cd02c3577
  last_name: Leonard
- first_name: Sooshin
  full_name: Kim, Sooshin
  last_name: Kim
- first_name: Matthew
  full_name: Rispoli, Matthew
  last_name: Rispoli
- first_name: Alexander
  full_name: Lukin, Alexander
  last_name: Lukin
- first_name: Robert
  full_name: Schittko, Robert
  last_name: Schittko
- first_name: Joyce
  full_name: Kwan, Joyce
  last_name: Kwan
- first_name: Eugene
  full_name: Demler, Eugene
  last_name: Demler
- first_name: Dries
  full_name: Sels, Dries
  last_name: Sels
- first_name: Markus
  full_name: Greiner, Markus
  last_name: Greiner
citation:
  ama: Leonard J, Kim S, Rispoli M, et al. Probing the onset of quantum avalanches
    in a many-body localized system. <i>Nature Physics</i>. 2023;19(4):481-485. doi:<a
    href="https://doi.org/10.1038/s41567-022-01887-3">10.1038/s41567-022-01887-3</a>
  apa: Leonard, J., Kim, S., Rispoli, M., Lukin, A., Schittko, R., Kwan, J., … Greiner,
    M. (2023). Probing the onset of quantum avalanches in a many-body localized system.
    <i>Nature Physics</i>. Springer Nature. <a href="https://doi.org/10.1038/s41567-022-01887-3">https://doi.org/10.1038/s41567-022-01887-3</a>
  chicago: Leonard, Julian, Sooshin Kim, Matthew Rispoli, Alexander Lukin, Robert
    Schittko, Joyce Kwan, Eugene Demler, Dries Sels, and Markus Greiner. “Probing
    the Onset of Quantum Avalanches in a Many-Body Localized System.” <i>Nature Physics</i>.
    Springer Nature, 2023. <a href="https://doi.org/10.1038/s41567-022-01887-3">https://doi.org/10.1038/s41567-022-01887-3</a>.
  ieee: J. Leonard <i>et al.</i>, “Probing the onset of quantum avalanches in a many-body
    localized system,” <i>Nature Physics</i>, vol. 19, no. 4. Springer Nature, pp.
    481–485, 2023.
  ista: Leonard J, Kim S, Rispoli M, Lukin A, Schittko R, Kwan J, Demler E, Sels D,
    Greiner M. 2023. Probing the onset of quantum avalanches in a many-body localized
    system. Nature Physics. 19(4), 481–485.
  mla: Leonard, Julian, et al. “Probing the Onset of Quantum Avalanches in a Many-Body
    Localized System.” <i>Nature Physics</i>, vol. 19, no. 4, Springer Nature, 2023,
    pp. 481–85, doi:<a href="https://doi.org/10.1038/s41567-022-01887-3">10.1038/s41567-022-01887-3</a>.
  short: J. Leonard, S. Kim, M. Rispoli, A. Lukin, R. Schittko, J. Kwan, E. Demler,
    D. Sels, M. Greiner, Nature Physics 19 (2023) 481–485.
date_created: 2024-10-07T11:46:33Z
date_published: 2023-01-26T00:00:00Z
date_updated: 2024-10-08T10:52:08Z
day: '26'
doi: 10.1038/s41567-022-01887-3
extern: '1'
external_id:
  arxiv:
  - '2012.15270'
intvolume: '        19'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2012.15270
month: '01'
oa: 1
oa_version: Preprint
page: 481-485
publication: Nature Physics
publication_identifier:
  eissn:
  - 1745-2481
  issn:
  - 1745-2473
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Probing the onset of quantum avalanches in a many-body localized system
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 19
year: '2023'
...
---
_id: '18191'
abstract:
- lang: eng
  text: 'Large-scale quantum devices provide insights beyond the reach of classical
    simulations. However, for a reliable and verifiable quantum simulation, the building
    blocks of the quantum device require exquisite benchmarking. This benchmarking
    of large-scale dynamical quantum systems represents a major challenge due to lack
    of efficient tools for their simulation. Here, we present a scalable algorithm
    based on neural networks for Hamiltonian tomography in out-of-equilibrium quantum
    systems. We illustrate our approach using a model for a forefront quantum simulation
    platform: ultracold atoms in optical lattices. Specifically, we show that our
    algorithm is able to reconstruct the Hamiltonian of an arbitrary sized bosonic
    ladder system using an accessible amount of experimental measurements. We are
    able to significantly increase the previously known parameter precision.'
article_number: '023302'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Agnes
  full_name: Valenti, Agnes
  last_name: Valenti
- first_name: Guliuxin
  full_name: Jin, Guliuxin
  last_name: Jin
- first_name: Julian
  full_name: Leonard, Julian
  id: b75b3f45-7995-11ef-9bfd-9a9cd02c3577
  last_name: Leonard
- first_name: Sebastian D.
  full_name: Huber, Sebastian D.
  last_name: Huber
- first_name: Eliska
  full_name: Greplova, Eliska
  last_name: Greplova
citation:
  ama: Valenti A, Jin G, Leonard J, Huber SD, Greplova E. Scalable Hamiltonian learning
    for large-scale out-of-equilibrium quantum dynamics. <i>Physical Review A</i>.
    2022;105(2). doi:<a href="https://doi.org/10.1103/physreva.105.023302">10.1103/physreva.105.023302</a>
  apa: Valenti, A., Jin, G., Leonard, J., Huber, S. D., &#38; Greplova, E. (2022).
    Scalable Hamiltonian learning for large-scale out-of-equilibrium quantum dynamics.
    <i>Physical Review A</i>. American Physical Society. <a href="https://doi.org/10.1103/physreva.105.023302">https://doi.org/10.1103/physreva.105.023302</a>
  chicago: Valenti, Agnes, Guliuxin Jin, Julian Leonard, Sebastian D. Huber, and Eliska
    Greplova. “Scalable Hamiltonian Learning for Large-Scale out-of-Equilibrium Quantum
    Dynamics.” <i>Physical Review A</i>. American Physical Society, 2022. <a href="https://doi.org/10.1103/physreva.105.023302">https://doi.org/10.1103/physreva.105.023302</a>.
  ieee: A. Valenti, G. Jin, J. Leonard, S. D. Huber, and E. Greplova, “Scalable Hamiltonian
    learning for large-scale out-of-equilibrium quantum dynamics,” <i>Physical Review
    A</i>, vol. 105, no. 2. American Physical Society, 2022.
  ista: Valenti A, Jin G, Leonard J, Huber SD, Greplova E. 2022. Scalable Hamiltonian
    learning for large-scale out-of-equilibrium quantum dynamics. Physical Review
    A. 105(2), 023302.
  mla: Valenti, Agnes, et al. “Scalable Hamiltonian Learning for Large-Scale out-of-Equilibrium
    Quantum Dynamics.” <i>Physical Review A</i>, vol. 105, no. 2, 023302, American
    Physical Society, 2022, doi:<a href="https://doi.org/10.1103/physreva.105.023302">10.1103/physreva.105.023302</a>.
  short: A. Valenti, G. Jin, J. Leonard, S.D. Huber, E. Greplova, Physical Review
    A 105 (2022).
date_created: 2024-10-07T11:46:53Z
date_published: 2022-02-01T00:00:00Z
date_updated: 2024-10-08T10:00:23Z
day: '01'
doi: 10.1103/physreva.105.023302
extern: '1'
external_id:
  arxiv:
  - '2103.01240'
intvolume: '       105'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2103.01240
month: '02'
oa: 1
oa_version: Preprint
publication: Physical Review A
publication_identifier:
  eissn:
  - 2469-9934
  issn:
  - 2469-9926
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Scalable Hamiltonian learning for large-scale out-of-equilibrium quantum dynamics
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 105
year: '2022'
...
---
_id: '18192'
abstract:
- lang: eng
  text: Current quantum simulation experiments are starting to explore nonequilibrium
    many-body dynamics in previously inaccessible regimes in terms of system sizes
    and timescales. Therefore, the question emerges as to which observables are best
    suited to study the dynamics in such quantum many-body systems. Using machine
    learning techniques, we investigate the dynamics and, in particular, the thermalization
    behavior of an interacting quantum system that undergoes a nonequilibrium phase
    transition from an ergodic to a many-body localized phase. We employ supervised
    and unsupervised training methods to distinguish nonequilibrium from equilibrium
    data, using the network performance as a probe for the thermalization behavior
    of the system. We test our methods with experimental snapshots of ultracold atoms
    taken with a quantum gas microscope. Our results provide a path to analyze highly
    entangled large-scale quantum states for system sizes where numerical calculations
    of conventional observables become challenging.
article_number: '150504'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: A.
  full_name: Bohrdt, A.
  last_name: Bohrdt
- first_name: S.
  full_name: Kim, S.
  last_name: Kim
- first_name: A.
  full_name: Lukin, A.
  last_name: Lukin
- first_name: M.
  full_name: Rispoli, M.
  last_name: Rispoli
- first_name: R.
  full_name: Schittko, R.
  last_name: Schittko
- first_name: M.
  full_name: Knap, M.
  last_name: Knap
- first_name: M.
  full_name: Greiner, M.
  last_name: Greiner
- first_name: Julian
  full_name: Leonard, Julian
  id: b75b3f45-7995-11ef-9bfd-9a9cd02c3577
  last_name: Leonard
citation:
  ama: Bohrdt A, Kim S, Lukin A, et al. Analyzing nonequilibrium quantum states through
    snapshots with artificial neural networks. <i>Physical Review Letters</i>. 2021;127(15).
    doi:<a href="https://doi.org/10.1103/physrevlett.127.150504">10.1103/physrevlett.127.150504</a>
  apa: Bohrdt, A., Kim, S., Lukin, A., Rispoli, M., Schittko, R., Knap, M., … Leonard,
    J. (2021). Analyzing nonequilibrium quantum states through snapshots with artificial
    neural networks. <i>Physical Review Letters</i>. American Physical Society. <a
    href="https://doi.org/10.1103/physrevlett.127.150504">https://doi.org/10.1103/physrevlett.127.150504</a>
  chicago: Bohrdt, A., S. Kim, A. Lukin, M. Rispoli, R. Schittko, M. Knap, M. Greiner,
    and Julian Leonard. “Analyzing Nonequilibrium Quantum States through Snapshots
    with Artificial Neural Networks.” <i>Physical Review Letters</i>. American Physical
    Society, 2021. <a href="https://doi.org/10.1103/physrevlett.127.150504">https://doi.org/10.1103/physrevlett.127.150504</a>.
  ieee: A. Bohrdt <i>et al.</i>, “Analyzing nonequilibrium quantum states through
    snapshots with artificial neural networks,” <i>Physical Review Letters</i>, vol.
    127, no. 15. American Physical Society, 2021.
  ista: Bohrdt A, Kim S, Lukin A, Rispoli M, Schittko R, Knap M, Greiner M, Leonard
    J. 2021. Analyzing nonequilibrium quantum states through snapshots with artificial
    neural networks. Physical Review Letters. 127(15), 150504.
  mla: Bohrdt, A., et al. “Analyzing Nonequilibrium Quantum States through Snapshots
    with Artificial Neural Networks.” <i>Physical Review Letters</i>, vol. 127, no.
    15, 150504, American Physical Society, 2021, doi:<a href="https://doi.org/10.1103/physrevlett.127.150504">10.1103/physrevlett.127.150504</a>.
  short: A. Bohrdt, S. Kim, A. Lukin, M. Rispoli, R. Schittko, M. Knap, M. Greiner,
    J. Leonard, Physical Review Letters 127 (2021).
date_created: 2024-10-07T11:47:11Z
date_published: 2021-10-08T00:00:00Z
date_updated: 2024-10-08T09:58:03Z
day: '08'
doi: 10.1103/physrevlett.127.150504
extern: '1'
external_id:
  arxiv:
  - '2012.11586'
intvolume: '       127'
issue: '15'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2012.11586
month: '10'
oa: 1
oa_version: Preprint
publication: Physical Review Letters
publication_identifier:
  issn:
  - 0031-9007
  - 1079-7114
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Analyzing nonequilibrium quantum states through snapshots with artificial neural
  networks
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 127
year: '2021'
...
---
_id: '18193'
abstract:
- lang: eng
  text: "Topological states of matter, such as fractional quantum Hall states, are
    an active field of research due to their exotic excitations. In particular, ultracold
    atoms in optical lattices provide a highly controllable and adaptable platform
    to study such new types of quantum matter. However, finding a clear route to realize
    non-Abelian quantum Hall states in these systems remains challenging. Here we
    use the density-matrix renormalization-group (DMRG) method to study the Hofstadter-Bose-Hubbard
    model at filling factor \U0001D708=1 and find strong indications that at \U0001D6FC=1/6
    magnetic flux quanta per plaquette the ground state is a lattice analog of the
    continuum non-Abelian Pfaffian. We study the on-site correlations of the ground
    state, which indicate its paired nature at \U0001D708=1, and find an incompressible
    state characterized by a charge gap in the bulk. We argue that the emergence of
    a charge density wave on thin cylinders and the behavior of the two- and three-particle
    correlation functions at short distances provide evidence for the state being
    closely related to the continuum Pfaffian. The signatures discussed in this letter
    are accessible in current cold atom experiments and we show that the Pfaffian-like
    state is readily realizable in few-body systems using adiabatic preparation schemes."
article_number: L161101
article_processing_charge: No
article_type: letter_note
arxiv: 1
author:
- first_name: F. A.
  full_name: Palm, F. A.
  last_name: Palm
- first_name: M.
  full_name: Buser, M.
  last_name: Buser
- first_name: Julian
  full_name: Leonard, Julian
  id: b75b3f45-7995-11ef-9bfd-9a9cd02c3577
  last_name: Leonard
- first_name: M.
  full_name: Aidelsburger, M.
  last_name: Aidelsburger
- first_name: U.
  full_name: Schollwöck, U.
  last_name: Schollwöck
- first_name: F.
  full_name: Grusdt, F.
  last_name: Grusdt
citation:
  ama: Palm FA, Buser M, Leonard J, Aidelsburger M, Schollwöck U, Grusdt F. Bosonic
    Pfaffian state in the Hofstadter-Bose-Hubbard model. <i>Physical Review B</i>.
    2021;103(16). doi:<a href="https://doi.org/10.1103/physrevb.103.l161101">10.1103/physrevb.103.l161101</a>
  apa: Palm, F. A., Buser, M., Leonard, J., Aidelsburger, M., Schollwöck, U., &#38;
    Grusdt, F. (2021). Bosonic Pfaffian state in the Hofstadter-Bose-Hubbard model.
    <i>Physical Review B</i>. American Physical Society. <a href="https://doi.org/10.1103/physrevb.103.l161101">https://doi.org/10.1103/physrevb.103.l161101</a>
  chicago: Palm, F. A., M. Buser, Julian Leonard, M. Aidelsburger, U. Schollwöck,
    and F. Grusdt. “Bosonic Pfaffian State in the Hofstadter-Bose-Hubbard Model.”
    <i>Physical Review B</i>. American Physical Society, 2021. <a href="https://doi.org/10.1103/physrevb.103.l161101">https://doi.org/10.1103/physrevb.103.l161101</a>.
  ieee: F. A. Palm, M. Buser, J. Leonard, M. Aidelsburger, U. Schollwöck, and F. Grusdt,
    “Bosonic Pfaffian state in the Hofstadter-Bose-Hubbard model,” <i>Physical Review
    B</i>, vol. 103, no. 16. American Physical Society, 2021.
  ista: Palm FA, Buser M, Leonard J, Aidelsburger M, Schollwöck U, Grusdt F. 2021.
    Bosonic Pfaffian state in the Hofstadter-Bose-Hubbard model. Physical Review B.
    103(16), L161101.
  mla: Palm, F. A., et al. “Bosonic Pfaffian State in the Hofstadter-Bose-Hubbard
    Model.” <i>Physical Review B</i>, vol. 103, no. 16, L161101, American Physical
    Society, 2021, doi:<a href="https://doi.org/10.1103/physrevb.103.l161101">10.1103/physrevb.103.l161101</a>.
  short: F.A. Palm, M. Buser, J. Leonard, M. Aidelsburger, U. Schollwöck, F. Grusdt,
    Physical Review B 103 (2021).
date_created: 2024-10-07T11:47:51Z
date_published: 2021-04-15T00:00:00Z
date_updated: 2024-10-08T09:55:46Z
day: '15'
doi: 10.1103/physrevb.103.l161101
extern: '1'
external_id:
  arxiv:
  - '2011.02477'
intvolume: '       103'
issue: '16'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2011.02477
month: '04'
oa: 1
oa_version: Preprint
publication: Physical Review B
publication_identifier:
  eissn:
  - 2469-9969
  issn:
  - 2469-9950
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Bosonic Pfaffian state in the Hofstadter-Bose-Hubbard model
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 103
year: '2021'
...
---
_id: '18194'
abstract:
- lang: eng
  text: 'Realizing strongly correlated topological phases of ultracold gases is a
    central goal for ongoing experiments. While fractional quantum Hall states could
    soon be implemented in small atomic ensembles, detecting their signatures in few-particle
    settings remains a fundamental challenge. In this work, we numerically analyze
    the center-of-mass Hall drift of a small ensemble of hardcore bosons, initially
    prepared in the ground state of the Harper-Hofstadter-Hubbard model in a box potential.
    By monitoring the Hall drift upon release, for a wide range of magnetic flux values,
    we identify an emergent Hall plateau compatible with a fractional Chern insulator
    state: The extracted Hall conductivity approaches a fractional value determined
    by the many-body Chern number, while the width of the plateau agrees with the
    spectral and topological properties of the prepared ground state. Besides, a direct
    application of Streda''s formula indicates that such Hall plateaus can also be
    directly obtained from static density-profile measurements. Our calculations suggest
    that fractional Chern insulators can be detected in cold-atom experiments, using
    available detection methods.'
article_number: '063316'
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: C.
  full_name: Repellin, C.
  last_name: Repellin
- first_name: Julian
  full_name: Leonard, Julian
  id: b75b3f45-7995-11ef-9bfd-9a9cd02c3577
  last_name: Leonard
- first_name: N.
  full_name: Goldman, N.
  last_name: Goldman
citation:
  ama: 'Repellin C, Leonard J, Goldman N. Fractional Chern insulators of few bosons
    in a box: Hall plateaus from center-of-mass drifts and density profiles. <i>Physical
    Review A</i>. 2020;102(6). doi:<a href="https://doi.org/10.1103/physreva.102.063316">10.1103/physreva.102.063316</a>'
  apa: 'Repellin, C., Leonard, J., &#38; Goldman, N. (2020). Fractional Chern insulators
    of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles.
    <i>Physical Review A</i>. American Physical Society. <a href="https://doi.org/10.1103/physreva.102.063316">https://doi.org/10.1103/physreva.102.063316</a>'
  chicago: 'Repellin, C., Julian Leonard, and N. Goldman. “Fractional Chern Insulators
    of Few Bosons in a Box: Hall Plateaus from Center-of-Mass Drifts and Density Profiles.”
    <i>Physical Review A</i>. American Physical Society, 2020. <a href="https://doi.org/10.1103/physreva.102.063316">https://doi.org/10.1103/physreva.102.063316</a>.'
  ieee: 'C. Repellin, J. Leonard, and N. Goldman, “Fractional Chern insulators of
    few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles,”
    <i>Physical Review A</i>, vol. 102, no. 6. American Physical Society, 2020.'
  ista: 'Repellin C, Leonard J, Goldman N. 2020. Fractional Chern insulators of few
    bosons in a box: Hall plateaus from center-of-mass drifts and density profiles.
    Physical Review A. 102(6), 063316.'
  mla: 'Repellin, C., et al. “Fractional Chern Insulators of Few Bosons in a Box:
    Hall Plateaus from Center-of-Mass Drifts and Density Profiles.” <i>Physical Review
    A</i>, vol. 102, no. 6, 063316, American Physical Society, 2020, doi:<a href="https://doi.org/10.1103/physreva.102.063316">10.1103/physreva.102.063316</a>.'
  short: C. Repellin, J. Leonard, N. Goldman, Physical Review A 102 (2020).
date_created: 2024-10-07T11:48:07Z
date_published: 2020-12-14T00:00:00Z
date_updated: 2024-10-08T09:51:57Z
day: '14'
ddc:
- '530'
doi: 10.1103/physreva.102.063316
extern: '1'
external_id:
  arxiv:
  - '2005.09689'
has_accepted_license: '1'
intvolume: '       102'
issue: '6'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1103/PhysRevA.102.063316
month: '12'
oa: 1
oa_version: Published Version
publication: Physical Review A
publication_identifier:
  eissn:
  - 2469-9934
  issn:
  - 2469-9926
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass
  drifts and density profiles'
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: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 102
year: '2020'
...
---
_id: '18195'
abstract:
- lang: eng
  text: Phase transitions are driven by collective fluctuations of a system’s constituents
    that emerge at a critical point1. This mechanism has been extensively explored
    for classical and quantum systems in equilibrium, whose critical behaviour is
    described by the general theory of phase transitions. Recently, however, fundamentally
    distinct phase transitions have been discovered for out-of-equilibrium quantum
    systems, which can exhibit critical behaviour that defies this description and
    is not well understood1. A paradigmatic example is the many-body localization
    (MBL) transition, which marks the breakdown of thermalization in an isolated quantum
    many-body system as its disorder increases beyond a critical value2,3,4,5,6,7,8,9,10,11.
    Characterizing quantum critical behaviour in an MBL system requires probing its
    entanglement over space and time4,5,7, which has proved experimentally challenging
    owing to stringent requirements on quantum state preparation and system isolation.
    Here we observe quantum critical behaviour at the MBL transition in a disordered
    Bose–Hubbard system and characterize its entanglement via its multi-point quantum
    correlations. We observe the emergence of strong correlations, accompanied by
    the onset of anomalous diffusive transport throughout the system, and verify their
    critical nature by measuring their dependence on the system size. The correlations
    extend to high orders in the quantum critical regime and appear to form via a
    sparse network of many-body resonances that spans the entire system12,13. Our
    results connect the macroscopic phenomenology of the transition to the system’s
    microscopic structure of quantum correlations, and they provide an essential step
    towards understanding criticality and universality in non-equilibrium systems1,7,13.
article_processing_charge: No
article_type: letter_note
arxiv: 1
author:
- first_name: Matthew
  full_name: Rispoli, Matthew
  last_name: Rispoli
- first_name: Alexander
  full_name: Lukin, Alexander
  last_name: Lukin
- first_name: Robert
  full_name: Schittko, Robert
  last_name: Schittko
- first_name: Sooshin
  full_name: Kim, Sooshin
  last_name: Kim
- first_name: M. Eric
  full_name: Tai, M. Eric
  last_name: Tai
- first_name: Julian
  full_name: Leonard, Julian
  id: b75b3f45-7995-11ef-9bfd-9a9cd02c3577
  last_name: Leonard
- first_name: Markus
  full_name: Greiner, Markus
  last_name: Greiner
citation:
  ama: Rispoli M, Lukin A, Schittko R, et al. Quantum critical behaviour at the many-body
    localization transition. <i>Nature</i>. 2019;573(7774):385-389. doi:<a href="https://doi.org/10.1038/s41586-019-1527-2">10.1038/s41586-019-1527-2</a>
  apa: Rispoli, M., Lukin, A., Schittko, R., Kim, S., Tai, M. E., Leonard, J., &#38;
    Greiner, M. (2019). Quantum critical behaviour at the many-body localization transition.
    <i>Nature</i>. Springer Nature. <a href="https://doi.org/10.1038/s41586-019-1527-2">https://doi.org/10.1038/s41586-019-1527-2</a>
  chicago: Rispoli, Matthew, Alexander Lukin, Robert Schittko, Sooshin Kim, M. Eric
    Tai, Julian Leonard, and Markus Greiner. “Quantum Critical Behaviour at the Many-Body
    Localization Transition.” <i>Nature</i>. Springer Nature, 2019. <a href="https://doi.org/10.1038/s41586-019-1527-2">https://doi.org/10.1038/s41586-019-1527-2</a>.
  ieee: M. Rispoli <i>et al.</i>, “Quantum critical behaviour at the many-body localization
    transition,” <i>Nature</i>, vol. 573, no. 7774. Springer Nature, pp. 385–389,
    2019.
  ista: Rispoli M, Lukin A, Schittko R, Kim S, Tai ME, Leonard J, Greiner M. 2019.
    Quantum critical behaviour at the many-body localization transition. Nature. 573(7774),
    385–389.
  mla: Rispoli, Matthew, et al. “Quantum Critical Behaviour at the Many-Body Localization
    Transition.” <i>Nature</i>, vol. 573, no. 7774, Springer Nature, 2019, pp. 385–89,
    doi:<a href="https://doi.org/10.1038/s41586-019-1527-2">10.1038/s41586-019-1527-2</a>.
  short: M. Rispoli, A. Lukin, R. Schittko, S. Kim, M.E. Tai, J. Leonard, M. Greiner,
    Nature 573 (2019) 385–389.
date_created: 2024-10-07T11:48:26Z
date_published: 2019-09-04T00:00:00Z
date_updated: 2024-10-08T09:33:30Z
day: '04'
doi: 10.1038/s41586-019-1527-2
extern: '1'
external_id:
  arxiv:
  - '1812.06959'
  pmid:
  - '31485075'
intvolume: '       573'
issue: '7774'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.1812.06959
month: '09'
oa: 1
oa_version: Preprint
page: 385-389
pmid: 1
publication: Nature
publication_identifier:
  eissn:
  - 1476-4687
  issn:
  - 0028-0836
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Quantum critical behaviour at the many-body localization transition
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 573
year: '2019'
...
---
_id: '18196'
abstract:
- lang: eng
  text: An interacting quantum system that is subject to disorder may cease to thermalize
    owing to localization of its constituents, thereby marking the breakdown of thermodynamics.
    The key to understanding this phenomenon lies in the system’s entanglement, which
    is experimentally challenging to measure. We realize such a many-body–localized
    system in a disordered Bose-Hubbard chain and characterize its entanglement properties
    through particle fluctuations and correlations. We observe that the particles
    become localized, suppressing transport and preventing the thermalization of subsystems.
    Notably, we measure the development of nonlocal correlations, whose evolution
    is consistent with a logarithmic growth of entanglement entropy, the hallmark
    of many-body localization. Our work experimentally establishes many-body localization
    as a qualitatively distinct phenomenon from localization in noninteracting, disordered
    systems.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Alexander
  full_name: Lukin, Alexander
  last_name: Lukin
- first_name: Matthew
  full_name: Rispoli, Matthew
  last_name: Rispoli
- first_name: Robert
  full_name: Schittko, Robert
  last_name: Schittko
- first_name: M. Eric
  full_name: Tai, M. Eric
  last_name: Tai
- first_name: Adam M.
  full_name: Kaufman, Adam M.
  last_name: Kaufman
- first_name: Soonwon
  full_name: Choi, Soonwon
  last_name: Choi
- first_name: Vedika
  full_name: Khemani, Vedika
  last_name: Khemani
- first_name: Julian
  full_name: Leonard, Julian
  id: b75b3f45-7995-11ef-9bfd-9a9cd02c3577
  last_name: Leonard
- first_name: Markus
  full_name: Greiner, Markus
  last_name: Greiner
citation:
  ama: Lukin A, Rispoli M, Schittko R, et al. Probing entanglement in a many-body–localized
    system. <i>Science</i>. 2019;364(6437):256-260. doi:<a href="https://doi.org/10.1126/science.aau0818">10.1126/science.aau0818</a>
  apa: Lukin, A., Rispoli, M., Schittko, R., Tai, M. E., Kaufman, A. M., Choi, S.,
    … Greiner, M. (2019). Probing entanglement in a many-body–localized system. <i>Science</i>.
    American Association for the Advancement of Science. <a href="https://doi.org/10.1126/science.aau0818">https://doi.org/10.1126/science.aau0818</a>
  chicago: Lukin, Alexander, Matthew Rispoli, Robert Schittko, M. Eric Tai, Adam M.
    Kaufman, Soonwon Choi, Vedika Khemani, Julian Leonard, and Markus Greiner. “Probing
    Entanglement in a Many-Body–Localized System.” <i>Science</i>. American Association
    for the Advancement of Science, 2019. <a href="https://doi.org/10.1126/science.aau0818">https://doi.org/10.1126/science.aau0818</a>.
  ieee: A. Lukin <i>et al.</i>, “Probing entanglement in a many-body–localized system,”
    <i>Science</i>, vol. 364, no. 6437. American Association for the Advancement of
    Science, pp. 256–260, 2019.
  ista: Lukin A, Rispoli M, Schittko R, Tai ME, Kaufman AM, Choi S, Khemani V, Leonard
    J, Greiner M. 2019. Probing entanglement in a many-body–localized system. Science.
    364(6437), 256–260.
  mla: Lukin, Alexander, et al. “Probing Entanglement in a Many-Body–Localized System.”
    <i>Science</i>, vol. 364, no. 6437, American Association for the Advancement of
    Science, 2019, pp. 256–60, doi:<a href="https://doi.org/10.1126/science.aau0818">10.1126/science.aau0818</a>.
  short: A. Lukin, M. Rispoli, R. Schittko, M.E. Tai, A.M. Kaufman, S. Choi, V. Khemani,
    J. Leonard, M. Greiner, Science 364 (2019) 256–260.
date_created: 2024-10-07T11:48:43Z
date_published: 2019-04-19T00:00:00Z
date_updated: 2024-10-08T09:28:42Z
day: '19'
doi: 10.1126/science.aau0818
extern: '1'
external_id:
  arxiv:
  - '1805.09819'
intvolume: '       364'
issue: '6437'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.1805.09819
month: '04'
oa: 1
oa_version: Preprint
page: 256-260
publication: Science
publication_identifier:
  eissn:
  - 1095-9203
  issn:
  - 0036-8075
publication_status: published
publisher: American Association for the Advancement of Science
quality_controlled: '1'
scopus_import: '1'
status: public
title: Probing entanglement in a many-body–localized system
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 364
year: '2019'
...
---
_id: '18197'
abstract:
- lang: eng
  text: Controlling matter to simultaneously support coupled properties is of fundamental
    and technological importance1 (for example, in multiferroics2,3,4,5 or high-temperature
    superconductors6,7,8,9). However, determining the microscopic mechanisms responsible
    for the simultaneous presence of different orders is difficult, making it hard
    to predict material phenomenology10,11 or modify properties12,13,14,15,16. Here,
    using a quantum gas to engineer an adjustable interaction at the microscopic level,
    we demonstrate scenarios of competition, coexistence and mutual enhancement of
    two orders. For the enhancement scenario, the presence of one order lowers the
    critical point of the other. Our system is realized by a Bose–Einstein condensate
    that can undergo self-organization phase transitions in two optical resonators17,
    resulting in two distinct crystalline density orders. We characterize the coupling
    between these orders by measuring the composite order parameter and the elementary
    excitations and explain our results with a mean-field free-energy model derived
    from a microscopic Hamiltonian. Our system is ideally suited to explore quantum
    tricritical points18 and can be extended to study the interplay of spin and density
    orders19 as a function of temperature20.
article_processing_charge: No
article_type: letter_note
arxiv: 1
author:
- first_name: Andrea
  full_name: Morales, Andrea
  last_name: Morales
- first_name: Philip
  full_name: Zupancic, Philip
  last_name: Zupancic
- first_name: Julian
  full_name: Leonard, Julian
  id: b75b3f45-7995-11ef-9bfd-9a9cd02c3577
  last_name: Leonard
- first_name: Tilman
  full_name: Esslinger, Tilman
  last_name: Esslinger
- first_name: Tobias
  full_name: Donner, Tobias
  last_name: Donner
citation:
  ama: Morales A, Zupancic P, Leonard J, Esslinger T, Donner T. Coupling two order
    parameters in a quantum gas. <i>Nature Materials</i>. 2018;17(8):686-690. doi:<a
    href="https://doi.org/10.1038/s41563-018-0118-1">10.1038/s41563-018-0118-1</a>
  apa: Morales, A., Zupancic, P., Leonard, J., Esslinger, T., &#38; Donner, T. (2018).
    Coupling two order parameters in a quantum gas. <i>Nature Materials</i>. Springer
    Nature. <a href="https://doi.org/10.1038/s41563-018-0118-1">https://doi.org/10.1038/s41563-018-0118-1</a>
  chicago: Morales, Andrea, Philip Zupancic, Julian Leonard, Tilman Esslinger, and
    Tobias Donner. “Coupling Two Order Parameters in a Quantum Gas.” <i>Nature Materials</i>.
    Springer Nature, 2018. <a href="https://doi.org/10.1038/s41563-018-0118-1">https://doi.org/10.1038/s41563-018-0118-1</a>.
  ieee: A. Morales, P. Zupancic, J. Leonard, T. Esslinger, and T. Donner, “Coupling
    two order parameters in a quantum gas,” <i>Nature Materials</i>, vol. 17, no.
    8. Springer Nature, pp. 686–690, 2018.
  ista: Morales A, Zupancic P, Leonard J, Esslinger T, Donner T. 2018. Coupling two
    order parameters in a quantum gas. Nature Materials. 17(8), 686–690.
  mla: Morales, Andrea, et al. “Coupling Two Order Parameters in a Quantum Gas.” <i>Nature
    Materials</i>, vol. 17, no. 8, Springer Nature, 2018, pp. 686–90, doi:<a href="https://doi.org/10.1038/s41563-018-0118-1">10.1038/s41563-018-0118-1</a>.
  short: A. Morales, P. Zupancic, J. Leonard, T. Esslinger, T. Donner, Nature Materials
    17 (2018) 686–690.
date_created: 2024-10-07T11:48:59Z
date_published: 2018-08-01T00:00:00Z
date_updated: 2024-10-07T12:15:41Z
day: '01'
doi: 10.1038/s41563-018-0118-1
extern: '1'
external_id:
  arxiv:
  - '1711.07988'
intvolume: '        17'
issue: '8'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.1711.07988
month: '08'
oa: 1
oa_version: Preprint
page: 686-690
publication: Nature Materials
publication_identifier:
  eissn:
  - 1476-4660
  issn:
  - 1476-1122
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Coupling two order parameters in a quantum gas
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 17
year: '2018'
...
---
_id: '18198'
abstract:
- lang: eng
  text: Higgs and Goldstone modes are collective excitations of the amplitude and
    phase of an order parameter that is related to the breaking of a continuous symmetry.
    We directly studied these modes in a supersolid quantum gas created by coupling
    a Bose-Einstein condensate to two optical cavities, whose field amplitudes form
    the real and imaginary parts of a U(1)-symmetric order parameter. Monitoring the
    cavity fields in real time allowed us to observe the dynamics of the associated
    Higgs and Goldstone modes and revealed their amplitude and phase nature. We used
    a spectroscopic method to measure their frequencies, and we gave a tunable mass
    to the Goldstone mode by exploring the crossover between continuous and discrete
    symmetry. Our experiments link spectroscopic measurements to the theoretical concept
    of Higgs and Goldstone modes.
article_processing_charge: No
article_type: letter_note
author:
- first_name: Julian
  full_name: Leonard, Julian
  id: b75b3f45-7995-11ef-9bfd-9a9cd02c3577
  last_name: Leonard
- first_name: Andrea
  full_name: Morales, Andrea
  last_name: Morales
- first_name: Philip
  full_name: Zupancic, Philip
  last_name: Zupancic
- first_name: Tobias
  full_name: Donner, Tobias
  last_name: Donner
- first_name: Tilman
  full_name: Esslinger, Tilman
  last_name: Esslinger
citation:
  ama: Leonard J, Morales A, Zupancic P, Donner T, Esslinger T. Monitoring and manipulating
    Higgs and Goldstone modes in a supersolid quantum gas. <i>Science</i>. 2017;358(6369):1415-1418.
    doi:<a href="https://doi.org/10.1126/science.aan2608">10.1126/science.aan2608</a>
  apa: Leonard, J., Morales, A., Zupancic, P., Donner, T., &#38; Esslinger, T. (2017).
    Monitoring and manipulating Higgs and Goldstone modes in a supersolid quantum
    gas. <i>Science</i>. American Association for the Advancement of Science. <a href="https://doi.org/10.1126/science.aan2608">https://doi.org/10.1126/science.aan2608</a>
  chicago: Leonard, Julian, Andrea Morales, Philip Zupancic, Tobias Donner, and Tilman
    Esslinger. “Monitoring and Manipulating Higgs and Goldstone Modes in a Supersolid
    Quantum Gas.” <i>Science</i>. American Association for the Advancement of Science,
    2017. <a href="https://doi.org/10.1126/science.aan2608">https://doi.org/10.1126/science.aan2608</a>.
  ieee: J. Leonard, A. Morales, P. Zupancic, T. Donner, and T. Esslinger, “Monitoring
    and manipulating Higgs and Goldstone modes in a supersolid quantum gas,” <i>Science</i>,
    vol. 358, no. 6369. American Association for the Advancement of Science, pp. 1415–1418,
    2017.
  ista: Leonard J, Morales A, Zupancic P, Donner T, Esslinger T. 2017. Monitoring
    and manipulating Higgs and Goldstone modes in a supersolid quantum gas. Science.
    358(6369), 1415–1418.
  mla: Leonard, Julian, et al. “Monitoring and Manipulating Higgs and Goldstone Modes
    in a Supersolid Quantum Gas.” <i>Science</i>, vol. 358, no. 6369, American Association
    for the Advancement of Science, 2017, pp. 1415–18, doi:<a href="https://doi.org/10.1126/science.aan2608">10.1126/science.aan2608</a>.
  short: J. Leonard, A. Morales, P. Zupancic, T. Donner, T. Esslinger, Science 358
    (2017) 1415–1418.
date_created: 2024-10-07T11:49:27Z
date_published: 2017-12-15T00:00:00Z
date_updated: 2024-10-07T12:12:46Z
day: '15'
doi: 10.1126/science.aan2608
extern: '1'
external_id:
  pmid:
  - '29242343'
intvolume: '       358'
issue: '6369'
language:
- iso: eng
month: '12'
oa_version: None
page: 1415-1418
pmid: 1
publication: Science
publication_identifier:
  eissn:
  - 1095-9203
  issn:
  - 0036-8075
publication_status: published
publisher: American Association for the Advancement of Science
quality_controlled: '1'
scopus_import: '1'
status: public
title: Monitoring and manipulating Higgs and Goldstone modes in a supersolid quantum
  gas
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 358
year: '2017'
...
---
_id: '18199'
abstract:
- lang: eng
  text: 'The concept of a supersolid state combines the crystallization of a many-body
    system with dissipationless flow of the atoms from which it is built. This quantum
    phase requires the breaking of two continuous symmetries: the phase invariance
    of a superfluid and the continuous translational invariance to form the crystal1,2.
    Despite having been proposed for helium almost 50 years ago3,4, experimental verification
    of supersolidity remains elusive5,6. A variant with only discrete translational
    symmetry breaking on a preimposed lattice structure—the ‘lattice supersolid’7—has
    been realized, based on self-organization of a Bose–Einstein condensate8,9. However,
    lattice supersolids do not feature the continuous ground-state degeneracy that
    characterizes the supersolid state as originally proposed. Here we report the
    realization of a supersolid with continuous translational symmetry breaking along
    one direction in a quantum gas. The continuous symmetry that is broken emerges
    from two discrete spatial symmetries by symmetrically coupling a Bose–Einstein
    condensate to the modes of two optical cavities. We establish the phase coherence
    of the supersolid and find a high ground-state degeneracy by measuring the crystal
    position over many realizations through the light fields that leak from the cavities.
    These light fields are also used to monitor the position fluctuations in real
    time. Our concept provides a route to creating and studying glassy many-body systems
    with controllably lifted ground-state degeneracies, such as supersolids in the
    presence of disorder.'
article_processing_charge: No
article_type: letter_note
author:
- first_name: Julian
  full_name: Leonard, Julian
  id: b75b3f45-7995-11ef-9bfd-9a9cd02c3577
  last_name: Leonard
- first_name: Andrea
  full_name: Morales, Andrea
  last_name: Morales
- first_name: Philip
  full_name: Zupancic, Philip
  last_name: Zupancic
- first_name: Tilman
  full_name: Esslinger, Tilman
  last_name: Esslinger
- first_name: Tobias
  full_name: Donner, Tobias
  last_name: Donner
citation:
  ama: Leonard J, Morales A, Zupancic P, Esslinger T, Donner T. Supersolid formation
    in a quantum gas breaking a continuous translational symmetry. <i>Nature</i>.
    2017;543(7643):87-90. doi:<a href="https://doi.org/10.1038/nature21067">10.1038/nature21067</a>
  apa: Leonard, J., Morales, A., Zupancic, P., Esslinger, T., &#38; Donner, T. (2017).
    Supersolid formation in a quantum gas breaking a continuous translational symmetry.
    <i>Nature</i>. Springer Science and Business Media LLC. <a href="https://doi.org/10.1038/nature21067">https://doi.org/10.1038/nature21067</a>
  chicago: Leonard, Julian, Andrea Morales, Philip Zupancic, Tilman Esslinger, and
    Tobias Donner. “Supersolid Formation in a Quantum Gas Breaking a Continuous Translational
    Symmetry.” <i>Nature</i>. Springer Science and Business Media LLC, 2017. <a href="https://doi.org/10.1038/nature21067">https://doi.org/10.1038/nature21067</a>.
  ieee: J. Leonard, A. Morales, P. Zupancic, T. Esslinger, and T. Donner, “Supersolid
    formation in a quantum gas breaking a continuous translational symmetry,” <i>Nature</i>,
    vol. 543, no. 7643. Springer Science and Business Media LLC, pp. 87–90, 2017.
  ista: Leonard J, Morales A, Zupancic P, Esslinger T, Donner T. 2017. Supersolid
    formation in a quantum gas breaking a continuous translational symmetry. Nature.
    543(7643), 87–90.
  mla: Leonard, Julian, et al. “Supersolid Formation in a Quantum Gas Breaking a Continuous
    Translational Symmetry.” <i>Nature</i>, vol. 543, no. 7643, Springer Science and
    Business Media LLC, 2017, pp. 87–90, doi:<a href="https://doi.org/10.1038/nature21067">10.1038/nature21067</a>.
  short: J. Leonard, A. Morales, P. Zupancic, T. Esslinger, T. Donner, Nature 543
    (2017) 87–90.
date_created: 2024-10-07T11:49:44Z
date_published: 2017-03-02T00:00:00Z
date_updated: 2024-10-07T12:09:33Z
day: '02'
doi: 10.1038/nature21067
extern: '1'
intvolume: '       543'
issue: '7643'
language:
- iso: eng
month: '03'
oa_version: None
page: 87-90
publication: Nature
publication_identifier:
  issn:
  - 0028-0836
  - 1476-4687
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
scopus_import: '1'
status: public
title: Supersolid formation in a quantum gas breaking a continuous translational symmetry
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 543
year: '2017'
...
---
_id: '18200'
abstract:
- lang: eng
  text: "We present an optical setup with focus-tunable lenses to dynamically control
    the waist and focus position of a laser beam, in which we transport a trapped
    ultracold cloud of 87Rb over a distance of \r\n. The scheme allows us to shift
    the focus position at constant waist, providing uniform trapping conditions over
    the full transport length. The fraction of atoms that are transported over the
    entire distance comes near to unity, while the heating of the cloud is in the
    range of a few microkelvin. We characterize the position stability of the focus
    and show that residual drift rates in focus position can be compensated for by
    counteracting with the tunable lenses. Beyond being a compact and robust scheme
    to transport ultracold atoms, the reported control of laser beams makes dynamic
    tailoring of trapping potentials possible. As an example, we steer the size of
    the atomic cloud by changing the waist size of the dipole beam."
article_number: '093028'
article_processing_charge: Yes
article_type: original
author:
- first_name: Julian
  full_name: Leonard, Julian
  id: b75b3f45-7995-11ef-9bfd-9a9cd02c3577
  last_name: Leonard
- first_name: Moonjoo
  full_name: Lee, Moonjoo
  last_name: Lee
- first_name: Andrea
  full_name: Morales, Andrea
  last_name: Morales
- first_name: Thomas M
  full_name: Karg, Thomas M
  last_name: Karg
- first_name: Tilman
  full_name: Esslinger, Tilman
  last_name: Esslinger
- first_name: Tobias
  full_name: Donner, Tobias
  last_name: Donner
citation:
  ama: Leonard J, Lee M, Morales A, Karg TM, Esslinger T, Donner T. Optical transport
    and manipulation of an ultracold atomic cloud using focus-tunable lenses. <i>New
    Journal of Physics</i>. 2014;16(9). doi:<a href="https://doi.org/10.1088/1367-2630/16/9/093028">10.1088/1367-2630/16/9/093028</a>
  apa: Leonard, J., Lee, M., Morales, A., Karg, T. M., Esslinger, T., &#38; Donner,
    T. (2014). Optical transport and manipulation of an ultracold atomic cloud using
    focus-tunable lenses. <i>New Journal of Physics</i>. IOP Publishing. <a href="https://doi.org/10.1088/1367-2630/16/9/093028">https://doi.org/10.1088/1367-2630/16/9/093028</a>
  chicago: Leonard, Julian, Moonjoo Lee, Andrea Morales, Thomas M Karg, Tilman Esslinger,
    and Tobias Donner. “Optical Transport and Manipulation of an Ultracold Atomic
    Cloud Using Focus-Tunable Lenses.” <i>New Journal of Physics</i>. IOP Publishing,
    2014. <a href="https://doi.org/10.1088/1367-2630/16/9/093028">https://doi.org/10.1088/1367-2630/16/9/093028</a>.
  ieee: J. Leonard, M. Lee, A. Morales, T. M. Karg, T. Esslinger, and T. Donner, “Optical
    transport and manipulation of an ultracold atomic cloud using focus-tunable lenses,”
    <i>New Journal of Physics</i>, vol. 16, no. 9. IOP Publishing, 2014.
  ista: Leonard J, Lee M, Morales A, Karg TM, Esslinger T, Donner T. 2014. Optical
    transport and manipulation of an ultracold atomic cloud using focus-tunable lenses.
    New Journal of Physics. 16(9), 093028.
  mla: Leonard, Julian, et al. “Optical Transport and Manipulation of an Ultracold
    Atomic Cloud Using Focus-Tunable Lenses.” <i>New Journal of Physics</i>, vol.
    16, no. 9, 093028, IOP Publishing, 2014, doi:<a href="https://doi.org/10.1088/1367-2630/16/9/093028">10.1088/1367-2630/16/9/093028</a>.
  short: J. Leonard, M. Lee, A. Morales, T.M. Karg, T. Esslinger, T. Donner, New Journal
    of Physics 16 (2014).
date_created: 2024-10-07T11:50:00Z
date_published: 2014-09-23T00:00:00Z
date_updated: 2024-10-07T12:07:48Z
day: '23'
doi: 10.1088/1367-2630/16/9/093028
extern: '1'
intvolume: '        16'
issue: '9'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1088/1367-2630/16/9/093028
month: '09'
oa: 1
oa_version: Published Version
publication: New Journal of Physics
publication_identifier:
  issn:
  - 1367-2630
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Optical transport and manipulation of an ultracold atomic cloud using focus-tunable
  lenses
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 16
year: '2014'
...
---
_id: '18201'
abstract:
- lang: eng
  text: Owing to thermal fluctuations, two-dimensional (2D) systems cannot undergo
    a conventional phase transition associated with the breaking of a continuous symmetry1.
    Nevertheless they may exhibit a phase transition to a state with quasi-long-range
    order via the Berezinskii–Kosterlitz–Thouless (BKT) mechanism2. A paradigm example
    is the 2D Bose fluid, such as a liquid helium film3, which cannot condense at
    non-zero temperature although it becomes superfluid above a critical phase space
    density. The quasi-long-range coherence and the microscopic nature of the BKT
    transition were recently explored with ultracold atomic gases4,5,6. However, a
    direct observation of superfluidity in terms of frictionless flow is still missing
    for these systems. Here we probe the superfluidity of a 2D trapped Bose gas using
    a moving obstacle formed by a micrometre-sized laser beam. We find a dramatic
    variation of the response of the fluid, depending on its degree of degeneracy
    at the obstacle location.
article_processing_charge: No
article_type: letter_note
arxiv: 1
author:
- first_name: Rémi
  full_name: Desbuquois, Rémi
  last_name: Desbuquois
- first_name: Lauriane
  full_name: Chomaz, Lauriane
  last_name: Chomaz
- first_name: Tarik
  full_name: Yefsah, Tarik
  last_name: Yefsah
- first_name: Julian
  full_name: Leonard, Julian
  id: b75b3f45-7995-11ef-9bfd-9a9cd02c3577
  last_name: Leonard
- first_name: Jérôme
  full_name: Beugnon, Jérôme
  last_name: Beugnon
- first_name: Christof
  full_name: Weitenberg, Christof
  last_name: Weitenberg
- first_name: Jean
  full_name: Dalibard, Jean
  last_name: Dalibard
citation:
  ama: Desbuquois R, Chomaz L, Yefsah T, et al. Superfluid behaviour of a two-dimensional
    Bose gas. <i>Nature Physics</i>. 2012;8(9):645-648. doi:<a href="https://doi.org/10.1038/nphys2378">10.1038/nphys2378</a>
  apa: Desbuquois, R., Chomaz, L., Yefsah, T., Leonard, J., Beugnon, J., Weitenberg,
    C., &#38; Dalibard, J. (2012). Superfluid behaviour of a two-dimensional Bose
    gas. <i>Nature Physics</i>. Springer Nature. <a href="https://doi.org/10.1038/nphys2378">https://doi.org/10.1038/nphys2378</a>
  chicago: Desbuquois, Rémi, Lauriane Chomaz, Tarik Yefsah, Julian Leonard, Jérôme
    Beugnon, Christof Weitenberg, and Jean Dalibard. “Superfluid Behaviour of a Two-Dimensional
    Bose Gas.” <i>Nature Physics</i>. Springer Nature, 2012. <a href="https://doi.org/10.1038/nphys2378">https://doi.org/10.1038/nphys2378</a>.
  ieee: R. Desbuquois <i>et al.</i>, “Superfluid behaviour of a two-dimensional Bose
    gas,” <i>Nature Physics</i>, vol. 8, no. 9. Springer Nature, pp. 645–648, 2012.
  ista: Desbuquois R, Chomaz L, Yefsah T, Leonard J, Beugnon J, Weitenberg C, Dalibard
    J. 2012. Superfluid behaviour of a two-dimensional Bose gas. Nature Physics. 8(9),
    645–648.
  mla: Desbuquois, Rémi, et al. “Superfluid Behaviour of a Two-Dimensional Bose Gas.”
    <i>Nature Physics</i>, vol. 8, no. 9, Springer Nature, 2012, pp. 645–48, doi:<a
    href="https://doi.org/10.1038/nphys2378">10.1038/nphys2378</a>.
  short: R. Desbuquois, L. Chomaz, T. Yefsah, J. Leonard, J. Beugnon, C. Weitenberg,
    J. Dalibard, Nature Physics 8 (2012) 645–648.
date_created: 2024-10-07T11:50:19Z
date_published: 2012-07-29T00:00:00Z
date_updated: 2024-10-07T12:05:22Z
day: '29'
doi: 10.1038/nphys2378
extern: '1'
external_id:
  arxiv:
  - '1205.4536'
intvolume: '         8'
issue: '9'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1205.4536
month: '07'
oa: 1
oa_version: Preprint
page: 645-648
publication: Nature Physics
publication_identifier:
  eissn:
  - 1745-2481
  issn:
  - 1745-2473
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Superfluid behaviour of a two-dimensional Bose gas
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 8
year: '2012'
...
