---
_id: '5794'
abstract:
- lang: eng
  text: We present an approach to interacting quantum many-body systems based on the
    notion of quantum groups, also known as q-deformed Lie algebras. In particular,
    we show that, if the symmetry of a free quantum particle corresponds to a Lie
    group G, in the presence of a many-body environment this particle can be described
    by a deformed group, Gq. Crucially, the single deformation parameter, q, contains
    all the information about the many-particle interactions in the system. We exemplify
    our approach by considering a quantum rotor interacting with a bath of bosons,
    and demonstrate that extracting the value of q from closed-form solutions in the
    perturbative regime allows one to predict the behavior of the system for arbitrary
    values of the impurity-bath coupling strength, in good agreement with nonperturbative
    calculations. Furthermore, the value of the deformation parameter allows one to
    predict at which coupling strengths rotor-bath interactions result in a formation
    of a stable quasiparticle. The approach based on quantum groups does not only
    allow for a drastic simplification of impurity problems, but also provides valuable
    insights into hidden symmetries of interacting many-particle systems.
article_number: '255302'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Enderalp
  full_name: Yakaboylu, Enderalp
  id: 38CB71F6-F248-11E8-B48F-1D18A9856A87
  last_name: Yakaboylu
  orcid: 0000-0001-5973-0874
- first_name: Mikhail
  full_name: Shkolnikov, Mikhail
  id: 35084A62-F248-11E8-B48F-1D18A9856A87
  last_name: Shkolnikov
  orcid: 0000-0002-4310-178X
- first_name: Mikhail
  full_name: Lemeshko, Mikhail
  id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
  last_name: Lemeshko
  orcid: 0000-0002-6990-7802
citation:
  ama: Yakaboylu E, Shkolnikov M, Lemeshko M. Quantum groups as hidden symmetries
    of quantum impurities. <i>Physical Review Letters</i>. 2018;121(25). doi:<a href="https://doi.org/10.1103/PhysRevLett.121.255302">10.1103/PhysRevLett.121.255302</a>
  apa: Yakaboylu, E., Shkolnikov, M., &#38; Lemeshko, M. (2018). Quantum groups as
    hidden symmetries of quantum impurities. <i>Physical Review Letters</i>. American
    Physical Society. <a href="https://doi.org/10.1103/PhysRevLett.121.255302">https://doi.org/10.1103/PhysRevLett.121.255302</a>
  chicago: Yakaboylu, Enderalp, Mikhail Shkolnikov, and Mikhail Lemeshko. “Quantum
    Groups as Hidden Symmetries of Quantum Impurities.” <i>Physical Review Letters</i>.
    American Physical Society, 2018. <a href="https://doi.org/10.1103/PhysRevLett.121.255302">https://doi.org/10.1103/PhysRevLett.121.255302</a>.
  ieee: E. Yakaboylu, M. Shkolnikov, and M. Lemeshko, “Quantum groups as hidden symmetries
    of quantum impurities,” <i>Physical Review Letters</i>, vol. 121, no. 25. American
    Physical Society, 2018.
  ista: Yakaboylu E, Shkolnikov M, Lemeshko M. 2018. Quantum groups as hidden symmetries
    of quantum impurities. Physical Review Letters. 121(25), 255302.
  mla: Yakaboylu, Enderalp, et al. “Quantum Groups as Hidden Symmetries of Quantum
    Impurities.” <i>Physical Review Letters</i>, vol. 121, no. 25, 255302, American
    Physical Society, 2018, doi:<a href="https://doi.org/10.1103/PhysRevLett.121.255302">10.1103/PhysRevLett.121.255302</a>.
  short: E. Yakaboylu, M. Shkolnikov, M. Lemeshko, Physical Review Letters 121 (2018).
date_created: 2019-01-06T22:59:12Z
date_published: 2018-12-17T00:00:00Z
date_updated: 2025-04-15T06:50:24Z
day: '17'
department:
- _id: MiLe
doi: 10.1103/PhysRevLett.121.255302
ec_funded: 1
external_id:
  arxiv:
  - '1809.00222'
  isi:
  - '000454178600009'
intvolume: '       121'
isi: 1
issue: '25'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1809.00222
month: '12'
oa: 1
oa_version: Preprint
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '291734'
  name: International IST Postdoc Fellowship Programme
- _id: 26031614-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P29902
  name: Quantum rotations in the presence of a many-body environment
publication: Physical Review Letters
publication_identifier:
  issn:
  - '00319007'
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Quantum groups as hidden symmetries of quantum impurities
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 121
year: '2018'
...
---
_id: '9014'
abstract:
- lang: eng
  text: In this Letter, we explore experimentally the phase behavior of a dense active
    suspension of self-propelled colloids. In addition to a solidlike and gaslike
    phase observed for high and low densities, a novel cluster phase is reported at
    intermediate densities. This takes the form of a stationary assembly of dense
    aggregates—resulting from a permanent dynamical merging and separation of active
    colloids—whose average size grows with activity as a linear function of the self-propelling
    velocity. While different possible scenarios can be considered to account for
    these observations—such as a generic velocity weakening instability recently put
    forward—we show that the experimental results are reproduced mathematically by
    a chemotactic aggregation mechanism, originally introduced to account for bacterial
    aggregation and accounting here for diffusiophoretic chemical interaction between
    colloidal swimmers.
article_number: '268303'
article_processing_charge: No
article_type: letter_note
arxiv: 1
author:
- first_name: I.
  full_name: Theurkauff, I.
  last_name: Theurkauff
- first_name: C.
  full_name: Cottin-Bizonne, C.
  last_name: Cottin-Bizonne
- first_name: Jérémie A
  full_name: Palacci, Jérémie A
  id: 8fb92548-2b22-11eb-b7c1-a3f0d08d7c7d
  last_name: Palacci
  orcid: 0000-0002-7253-9465
- first_name: C.
  full_name: Ybert, C.
  last_name: Ybert
- first_name: L.
  full_name: Bocquet, L.
  last_name: Bocquet
citation:
  ama: Theurkauff I, Cottin-Bizonne C, Palacci JA, Ybert C, Bocquet L. Dynamic clustering
    in active colloidal suspensions with chemical signaling. <i>Physical Review Letters</i>.
    2012;108(26). doi:<a href="https://doi.org/10.1103/physrevlett.108.268303">10.1103/physrevlett.108.268303</a>
  apa: Theurkauff, I., Cottin-Bizonne, C., Palacci, J. A., Ybert, C., &#38; Bocquet,
    L. (2012). Dynamic clustering in active colloidal suspensions with chemical signaling.
    <i>Physical Review Letters</i>. American Physical Society . <a href="https://doi.org/10.1103/physrevlett.108.268303">https://doi.org/10.1103/physrevlett.108.268303</a>
  chicago: Theurkauff, I., C. Cottin-Bizonne, Jérémie A Palacci, C. Ybert, and L.
    Bocquet. “Dynamic Clustering in Active Colloidal Suspensions with Chemical Signaling.”
    <i>Physical Review Letters</i>. American Physical Society , 2012. <a href="https://doi.org/10.1103/physrevlett.108.268303">https://doi.org/10.1103/physrevlett.108.268303</a>.
  ieee: I. Theurkauff, C. Cottin-Bizonne, J. A. Palacci, C. Ybert, and L. Bocquet,
    “Dynamic clustering in active colloidal suspensions with chemical signaling,”
    <i>Physical Review Letters</i>, vol. 108, no. 26. American Physical Society ,
    2012.
  ista: Theurkauff I, Cottin-Bizonne C, Palacci JA, Ybert C, Bocquet L. 2012. Dynamic
    clustering in active colloidal suspensions with chemical signaling. Physical Review
    Letters. 108(26), 268303.
  mla: Theurkauff, I., et al. “Dynamic Clustering in Active Colloidal Suspensions
    with Chemical Signaling.” <i>Physical Review Letters</i>, vol. 108, no. 26, 268303,
    American Physical Society , 2012, doi:<a href="https://doi.org/10.1103/physrevlett.108.268303">10.1103/physrevlett.108.268303</a>.
  short: I. Theurkauff, C. Cottin-Bizonne, J.A. Palacci, C. Ybert, L. Bocquet, Physical
    Review Letters 108 (2012).
date_created: 2021-01-19T10:26:59Z
date_published: 2012-06-29T00:00:00Z
date_updated: 2023-02-23T13:46:45Z
day: '29'
doi: 10.1103/physrevlett.108.268303
extern: '1'
external_id:
  arxiv:
  - '1202.6264'
  pmid:
  - '23005020'
intvolume: '       108'
issue: '26'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1202.6264
month: '06'
oa: 1
oa_version: Preprint
pmid: 1
publication: Physical Review Letters
publication_identifier:
  eissn:
  - '10797114'
  issn:
  - '00319007'
publication_status: published
publisher: 'American Physical Society '
quality_controlled: '1'
scopus_import: '1'
status: public
title: Dynamic clustering in active colloidal suspensions with chemical signaling
type: journal_article
user_id: D865714E-FA4E-11E9-B85B-F5C5E5697425
volume: 108
year: '2012'
...
---
_id: '9012'
abstract:
- lang: eng
  text: In this Letter, we characterize experimentally the diffusiophoretic motion
    of colloids and λ-DNA toward higher concentration of solutes, using microfluidic
    technology to build spatially and temporally controlled concentration gradients.
    We then demonstrate that segregation and spatial patterning of the particles can
    be achieved from temporal variations of the solute concentration profile. This
    segregation takes the form of a strong trapping potential, stemming from an osmotically
    induced rectification mechanism of the solute time-dependent variations. Depending
    on the spatial and temporal symmetry of the solute signal, localization patterns
    with various shapes can be achieved. These results highlight the role of solute
    contrasts in out-of-equilibrium processes occurring in soft matter.
article_number: '138302'
article_processing_charge: No
article_type: letter_note
arxiv: 1
author:
- first_name: Jérémie A
  full_name: Palacci, Jérémie A
  id: 8fb92548-2b22-11eb-b7c1-a3f0d08d7c7d
  last_name: Palacci
  orcid: 0000-0002-7253-9465
- first_name: Benjamin
  full_name: Abécassis, Benjamin
  last_name: Abécassis
- first_name: Cécile
  full_name: Cottin-Bizonne, Cécile
  last_name: Cottin-Bizonne
- first_name: Christophe
  full_name: Ybert, Christophe
  last_name: Ybert
- first_name: Lydéric
  full_name: Bocquet, Lydéric
  last_name: Bocquet
citation:
  ama: Palacci JA, Abécassis B, Cottin-Bizonne C, Ybert C, Bocquet L. Colloidal motility
    and pattern formation under rectified diffusiophoresis. <i>Physical Review Letters</i>.
    2010;104(13). doi:<a href="https://doi.org/10.1103/physrevlett.104.138302">10.1103/physrevlett.104.138302</a>
  apa: Palacci, J. A., Abécassis, B., Cottin-Bizonne, C., Ybert, C., &#38; Bocquet,
    L. (2010). Colloidal motility and pattern formation under rectified diffusiophoresis.
    <i>Physical Review Letters</i>. American Physical Society. <a href="https://doi.org/10.1103/physrevlett.104.138302">https://doi.org/10.1103/physrevlett.104.138302</a>
  chicago: Palacci, Jérémie A, Benjamin Abécassis, Cécile Cottin-Bizonne, Christophe
    Ybert, and Lydéric Bocquet. “Colloidal Motility and Pattern Formation under Rectified
    Diffusiophoresis.” <i>Physical Review Letters</i>. American Physical Society,
    2010. <a href="https://doi.org/10.1103/physrevlett.104.138302">https://doi.org/10.1103/physrevlett.104.138302</a>.
  ieee: J. A. Palacci, B. Abécassis, C. Cottin-Bizonne, C. Ybert, and L. Bocquet,
    “Colloidal motility and pattern formation under rectified diffusiophoresis,” <i>Physical
    Review Letters</i>, vol. 104, no. 13. American Physical Society, 2010.
  ista: Palacci JA, Abécassis B, Cottin-Bizonne C, Ybert C, Bocquet L. 2010. Colloidal
    motility and pattern formation under rectified diffusiophoresis. Physical Review
    Letters. 104(13), 138302.
  mla: Palacci, Jérémie A., et al. “Colloidal Motility and Pattern Formation under
    Rectified Diffusiophoresis.” <i>Physical Review Letters</i>, vol. 104, no. 13,
    138302, American Physical Society, 2010, doi:<a href="https://doi.org/10.1103/physrevlett.104.138302">10.1103/physrevlett.104.138302</a>.
  short: J.A. Palacci, B. Abécassis, C. Cottin-Bizonne, C. Ybert, L. Bocquet, Physical
    Review Letters 104 (2010).
date_created: 2021-01-19T10:25:04Z
date_published: 2010-04-02T00:00:00Z
date_updated: 2023-02-23T13:46:40Z
day: '02'
doi: 10.1103/physrevlett.104.138302
extern: '1'
external_id:
  arxiv:
  - '1004.1256 '
  pmid:
  - '20481918'
intvolume: '       104'
issue: '13'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1004.1256
month: '04'
oa: 1
oa_version: Preprint
pmid: 1
publication: Physical Review Letters
publication_identifier:
  eissn:
  - '10797114'
  issn:
  - '00319007'
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Colloidal motility and pattern formation under rectified diffusiophoresis
type: journal_article
user_id: D865714E-FA4E-11E9-B85B-F5C5E5697425
volume: 104
year: '2010'
...
---
_id: '9013'
abstract:
- lang: eng
  text: In this Letter, we investigate experimentally the nonequilibrium steady state
    of an active colloidal suspension under gravity field. The active particles are
    made of chemically powered colloids, showing self propulsion in the presence of
    an added fuel, here hydrogen peroxide. The active suspension is studied in a dedicated
    microfluidic device, made of permeable gel microstructures. Both the microdynamics
    of individual colloids and the global stationary state of the suspension under
    gravity are measured with optical microscopy. This yields a direct measurement
    of the effective temperature of the active system as a function of the particle
    activity, on the basis of the fluctuation-dissipation relationship. Our work is
    a first step in the experimental exploration of the out-of-equilibrium properties
    of active colloidal systems.
article_number: '088304'
article_processing_charge: No
article_type: letter_note
arxiv: 1
author:
- first_name: Jérémie A
  full_name: Palacci, Jérémie A
  id: 8fb92548-2b22-11eb-b7c1-a3f0d08d7c7d
  last_name: Palacci
  orcid: 0000-0002-7253-9465
- first_name: Cécile
  full_name: Cottin-Bizonne, Cécile
  last_name: Cottin-Bizonne
- first_name: Christophe
  full_name: Ybert, Christophe
  last_name: Ybert
- first_name: Lydéric
  full_name: Bocquet, Lydéric
  last_name: Bocquet
citation:
  ama: Palacci JA, Cottin-Bizonne C, Ybert C, Bocquet L. Sedimentation and effective
    temperature of active colloidal suspensions. <i>Physical Review Letters</i>. 2010;105(8).
    doi:<a href="https://doi.org/10.1103/physrevlett.105.088304">10.1103/physrevlett.105.088304</a>
  apa: Palacci, J. A., Cottin-Bizonne, C., Ybert, C., &#38; Bocquet, L. (2010). Sedimentation
    and effective temperature of active colloidal suspensions. <i>Physical Review
    Letters</i>. American Physical Society . <a href="https://doi.org/10.1103/physrevlett.105.088304">https://doi.org/10.1103/physrevlett.105.088304</a>
  chicago: Palacci, Jérémie A, Cécile Cottin-Bizonne, Christophe Ybert, and Lydéric
    Bocquet. “Sedimentation and Effective Temperature of Active Colloidal Suspensions.”
    <i>Physical Review Letters</i>. American Physical Society , 2010. <a href="https://doi.org/10.1103/physrevlett.105.088304">https://doi.org/10.1103/physrevlett.105.088304</a>.
  ieee: J. A. Palacci, C. Cottin-Bizonne, C. Ybert, and L. Bocquet, “Sedimentation
    and effective temperature of active colloidal suspensions,” <i>Physical Review
    Letters</i>, vol. 105, no. 8. American Physical Society , 2010.
  ista: Palacci JA, Cottin-Bizonne C, Ybert C, Bocquet L. 2010. Sedimentation and
    effective temperature of active colloidal suspensions. Physical Review Letters.
    105(8), 088304.
  mla: Palacci, Jérémie A., et al. “Sedimentation and Effective Temperature of Active
    Colloidal Suspensions.” <i>Physical Review Letters</i>, vol. 105, no. 8, 088304,
    American Physical Society , 2010, doi:<a href="https://doi.org/10.1103/physrevlett.105.088304">10.1103/physrevlett.105.088304</a>.
  short: J.A. Palacci, C. Cottin-Bizonne, C. Ybert, L. Bocquet, Physical Review Letters
    105 (2010).
date_created: 2021-01-19T10:26:33Z
date_published: 2010-08-20T00:00:00Z
date_updated: 2023-02-23T13:46:42Z
day: '20'
doi: 10.1103/physrevlett.105.088304
extern: '1'
external_id:
  arxiv:
  - '1004.4340'
  pmid:
  - '20868136'
intvolume: '       105'
issue: '8'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1004.4340
month: '08'
oa: 1
oa_version: Preprint
pmid: 1
publication: Physical Review Letters
publication_identifier:
  eissn:
  - '10797114'
  issn:
  - '00319007'
publication_status: published
publisher: 'American Physical Society '
quality_controlled: '1'
scopus_import: '1'
status: public
title: Sedimentation and effective temperature of active colloidal suspensions
type: journal_article
user_id: D865714E-FA4E-11E9-B85B-F5C5E5697425
volume: 105
year: '2010'
...