---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
_id: '21899'
abstract:
- lang: eng
  text: Cell extrusion is an essential mechanism for controlling cell density in epithelial
    tissues. Another essential element of epithelia is curvature, which is required
    to achieve complex shapes, like in the lung or intestine. Here, we introduce a
    three-dimensional bubbly vertex model to study the interplay between extrusion
    and curvature. We find a generic cellular bulging instability at topological defects,
    which is much stronger than for standard vertex models. Analyzing cell shapes
    in three-dimensional imaging data of spherical mouse colon organoids, we infer
    that pentagonal cells have an increased basal interfacial tension, suggesting
    that cells at topological defects react to the different force conditions. Using
    the bubbly vertex model, we show that such basal tensions stabilize against the
    predicted instability and result in better cell shape control than tissue-scale
    mechanisms such as lumen pressure and spontaneous curvature. Our theory suggests
    that epithelial curvature naturally leads to bulged and extrusionlike cell shapes
    because the interfacial curvature of individual cells at the defects strongly
    amplifies buckling effected by tissue-scale topological defects in elastic sheets.
    Our results highlight the complex interplay of forces across scales in three-dimensional
    tissue organization.
acknowledgement: O. M. D., M. B., and U.S. S. acknowledge support from the Max Planck
  School Matter to Life, with funding by the German Federal Ministry of Education
  and Research (BMBF), the Dieter Schwarz Foundation, and the Max Planck Society.
  M. B. and U.S. S. acknowledge support from the cluster of excellence 3DMM2O (EXC
  2082/1-390761711 and EXC 2082/2-390761711) funded by the Deutsche Forschungsgemeinschaft
  (DFG, German Research Foundation). The authors acknowledge the data storage service
  SDS@hd supported by the Ministry of Science, Research and the Arts Baden-Württemberg
  (MWK) and the DFG through Grant No. INST 35/1503-1 FUGG. For the publication fee
  we acknowledge financial support by Heidelberg University. O. M. D. thanks Edouard
  Hannezo for valuable discussions. U.S. S. is a member of the Interdisciplinary Center
  for Scientific Computing (IWR) at Heidelberg.
article_number: '021023'
article_processing_charge: Yes
article_type: original
author:
- first_name: Oliver M
  full_name: Drozdowski, Oliver M
  id: cd4ed792-b872-11ef-bb90-b7b3a3f62f75
  last_name: Drozdowski
- first_name: Büşra
  full_name: "Kocameşe-Tamgac\U0001D6A4, Büşra"
  last_name: "Kocameşe-Tamgac\U0001D6A4"
- first_name: Kim E.
  full_name: Boonekamp, Kim E.
  last_name: Boonekamp
- first_name: Michael
  full_name: Boutros, Michael
  last_name: Boutros
- first_name: Ulrich S.
  full_name: Schwarz, Ulrich S.
  last_name: Schwarz
citation:
  ama: "Drozdowski OM, Kocameşe-Tamgac\U0001D6A4 B, Boonekamp KE, Boutros M, Schwarz
    US. Cell bulging and extrusion in a three-dimensional bubbly vertex model for
    curved epithelial sheets. <i>Physical Review X</i>. 2026;16(2). doi:<a href=\"https://doi.org/10.1103/x82g-cq7n\">10.1103/x82g-cq7n</a>"
  apa: "Drozdowski, O. M., Kocameşe-Tamgac\U0001D6A4, B., Boonekamp, K. E., Boutros,
    M., &#38; Schwarz, U. S. (2026). Cell bulging and extrusion in a three-dimensional
    bubbly vertex model for curved epithelial sheets. <i>Physical Review X</i>. American
    Physical Society. <a href=\"https://doi.org/10.1103/x82g-cq7n\">https://doi.org/10.1103/x82g-cq7n</a>"
  chicago: "Drozdowski, Oliver M, Büşra Kocameşe-Tamgac\U0001D6A4, Kim E. Boonekamp,
    Michael Boutros, and Ulrich S. Schwarz. “Cell Bulging and Extrusion in a Three-Dimensional
    Bubbly Vertex Model for Curved Epithelial Sheets.” <i>Physical Review X</i>. American
    Physical Society, 2026. <a href=\"https://doi.org/10.1103/x82g-cq7n\">https://doi.org/10.1103/x82g-cq7n</a>."
  ieee: "O. M. Drozdowski, B. Kocameşe-Tamgac\U0001D6A4, K. E. Boonekamp, M. Boutros,
    and U. S. Schwarz, “Cell bulging and extrusion in a three-dimensional bubbly vertex
    model for curved epithelial sheets,” <i>Physical Review X</i>, vol. 16, no. 2.
    American Physical Society, 2026."
  ista: "Drozdowski OM, Kocameşe-Tamgac\U0001D6A4 B, Boonekamp KE, Boutros M, Schwarz
    US. 2026. Cell bulging and extrusion in a three-dimensional bubbly vertex model
    for curved epithelial sheets. Physical Review X. 16(2), 021023."
  mla: Drozdowski, Oliver M., et al. “Cell Bulging and Extrusion in a Three-Dimensional
    Bubbly Vertex Model for Curved Epithelial Sheets.” <i>Physical Review X</i>, vol.
    16, no. 2, 021023, American Physical Society, 2026, doi:<a href="https://doi.org/10.1103/x82g-cq7n">10.1103/x82g-cq7n</a>.
  short: "O.M. Drozdowski, B. Kocameşe-Tamgac\U0001D6A4, K.E. Boonekamp, M. Boutros,
    U.S. Schwarz, Physical Review X 16 (2026)."
date_created: 2026-05-20T14:35:57Z
date_published: 2026-04-30T00:00:00Z
date_updated: 2026-05-21T06:08:11Z
day: '30'
ddc:
- '530'
department:
- _id: EdHa
doi: 10.1103/x82g-cq7n
file:
- access_level: open_access
  checksum: a90e905968648ac4425c256de901e9c3
  content_type: application/pdf
  creator: dernst
  date_created: 2026-05-21T06:05:49Z
  date_updated: 2026-05-21T06:05:49Z
  file_id: '21901'
  file_name: 2026_PhysicalReviewX_Drozdowski.pdf
  file_size: 5603164
  relation: main_file
  success: 1
file_date_updated: 2026-05-21T06:05:49Z
fulldoi: https://doi.org/10.1103/x82g-cq7n
has_accepted_license: '1'
intvolume: '        16'
issue: '2'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '04'
oa: 1
oa_version: Published Version
publication: Physical Review X
publication_identifier:
  issn:
  - 2160-3308
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Cell bulging and extrusion in a three-dimensional bubbly vertex model for curved
  epithelial sheets
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: 16
year: '2026'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
_id: '22288'
abstract:
- lang: eng
  text: Soft solids and their surface deformations control the response of many natural
    and artificial systems. Yet, their underlying properties are vigorously debated,
    particularly for polymer networks. While molecular-scale theories predict no interfacial
    changes with macroscopic deformation, multiple experiments suggest otherwise.
    To settle this issue, we measure displacement fields near the interface of a silicone
    gel, in the limit of small deformations. We discover an unexpected multiscale
    response. The shear modulus decreases smoothly by half with 20  μ⁢m of the interface.
    At the same time we observe a surface excess elasticity, that depends on history
    and outer medium composition. These results reveal the fundamentally multiscale
    nature of polymeric surfaces, and call for further experimental and theoretical
    investigations into the basic understanding of soft solid interfaces.
acknowledgement: The authors thank Katharine Jensen, Stefanie Heyden, Thomas Salez,
  Francesco Stellacci, Denis Bartolo, Francesco Picella, Hélène Delanoë-Ayari, Mathieu
  Leocmach, Antoine Bérut, Cécile Cottin-Bizonne, Anne-Laure Biance, and Oriane Talabart
  for useful discussions. We also thank the reviewers for excellent suggestions that
  substantively improved the manuscript.
article_number: '021063'
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Nicolas
  full_name: Bain, Nicolas
  last_name: Bain
- first_name: Lawrence A.
  full_name: Wilen, Lawrence A.
  last_name: Wilen
- first_name: Dominic
  full_name: Gerber, Dominic
  last_name: Gerber
- first_name: Mengjie
  full_name: Zu, Mengjie
  id: 26dd9e7c-e86a-11eb-a854-82ac731c9ae2
  last_name: Zu
- first_name: Carl Peter
  full_name: Goodrich, Carl Peter
  id: EB352CD2-F68A-11E9-89C5-A432E6697425
  last_name: Goodrich
  orcid: 0000-0002-1307-5074
- first_name: Senthilkumar
  full_name: Duraivel, Senthilkumar
  last_name: Duraivel
- first_name: Kaarthik
  full_name: Varma, Kaarthik
  last_name: Varma
- first_name: Harsha
  full_name: Koganti, Harsha
  last_name: Koganti
- first_name: Robert W.
  full_name: Style, Robert W.
  last_name: Style
- first_name: Eric R.
  full_name: Dufresne, Eric R.
  last_name: Dufresne
citation:
  ama: Bain N, Wilen LA, Gerber D, et al. Multiscale interfacial mechanics of soft
    solids. <i>Physical Review X</i>. 2026;16(2). doi:<a href="https://doi.org/10.1103/8msx-l8s7">10.1103/8msx-l8s7</a>
  apa: Bain, N., Wilen, L. A., Gerber, D., Zu, M., Goodrich, C. P., Duraivel, S.,
    … Dufresne, E. R. (2026). Multiscale interfacial mechanics of soft solids. <i>Physical
    Review X</i>. American Physical Society. <a href="https://doi.org/10.1103/8msx-l8s7">https://doi.org/10.1103/8msx-l8s7</a>
  chicago: Bain, Nicolas, Lawrence A. Wilen, Dominic Gerber, Mengjie Zu, Carl Peter
    Goodrich, Senthilkumar Duraivel, Kaarthik Varma, Harsha Koganti, Robert W. Style,
    and Eric R. Dufresne. “Multiscale Interfacial Mechanics of Soft Solids.” <i>Physical
    Review X</i>. American Physical Society, 2026. <a href="https://doi.org/10.1103/8msx-l8s7">https://doi.org/10.1103/8msx-l8s7</a>.
  ieee: N. Bain <i>et al.</i>, “Multiscale interfacial mechanics of soft solids,”
    <i>Physical Review X</i>, vol. 16, no. 2. American Physical Society, 2026.
  ista: Bain N, Wilen LA, Gerber D, Zu M, Goodrich CP, Duraivel S, Varma K, Koganti
    H, Style RW, Dufresne ER. 2026. Multiscale interfacial mechanics of soft solids.
    Physical Review X. 16(2), 021063.
  mla: Bain, Nicolas, et al. “Multiscale Interfacial Mechanics of Soft Solids.” <i>Physical
    Review X</i>, vol. 16, no. 2, 021063, American Physical Society, 2026, doi:<a
    href="https://doi.org/10.1103/8msx-l8s7">10.1103/8msx-l8s7</a>.
  short: N. Bain, L.A. Wilen, D. Gerber, M. Zu, C.P. Goodrich, S. Duraivel, K. Varma,
    H. Koganti, R.W. Style, E.R. Dufresne, Physical Review X 16 (2026).
das_tickbox: '1'
dataavailabilitystatement: The data that support the findings of this article are
  openly available https://github.com/nicobain/Multiscale_interfacial_mechanics_soft_solids_data
date_created: 2026-07-13T09:40:54Z
date_published: 2026-06-30T00:00:00Z
date_updated: 2026-07-13T11:17:51Z
day: '30'
ddc:
- '530'
department:
- _id: CaGo
doi: 10.1103/8msx-l8s7
external_id:
  arxiv:
  - '2410.09158'
file:
- access_level: open_access
  checksum: 47354f40981223fb0c9afe292f16ead1
  content_type: application/pdf
  creator: dernst
  date_created: 2026-07-13T11:16:47Z
  date_updated: 2026-07-13T11:16:47Z
  file_id: '22309'
  file_name: 2026_PhysicalReviewX_Bain.pdf
  file_size: 4367284
  relation: main_file
  success: 1
file_date_updated: 2026-07-13T11:16:47Z
fulldoi: https://doi.org/10.1103/8msx-l8s7
has_accepted_license: '1'
intvolume: '        16'
issue: '2'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
publication: Physical Review X
publication_identifier:
  issn:
  - 2160-3308
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
researchdata_availability: yes
scopus_import: '1'
status: public
supplementarymaterial: yes
title: Multiscale interfacial mechanics of soft solids
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: 16
year: '2026'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
_id: '22755'
abstract:
- lang: eng
  text: The eigenstate thermalization hypothesis (ETH) posits how isolated quantum
    many-body systems thermalize, assuming that individual eigenstates at the same
    energy density have identical expectation values of local observables in the limit
    of large systems. While the ETH apparently holds across a wide range of interacting
    quantum systems, in this work, we show that it may require generalization in the
    presence of thermal first-order phase transitions. We introduce a class of all-to-all
    spin models, featuring first-order thermal phase transitions that stem from two
    distinct local maxima of entropy (two mean-field solutions that we dub “branches”)
    that exchange dominance in the many-body density of states as the energy is varied.
    We argue that, for energies in the vicinity of the thermal phase transition, eigenstate
    expectation values do not need to converge to the same thermal value. The system
    has a regime with coexistence of two classes of eigenstates corresponding to the
    two branches with distinct expectation values at the same energy density and another
    regime with Schrödinger-cat-like eigenstates that are interbranch superpositions;
    these two regimes are separated by an eigenstate phase transition. We propose
    a more general form of the ETH , support our results by semiclassical calculations
    and an exact diagonalization study of a microscopic spin model, and argue that
    the structure of eigenstates in the vicinity of thermal first-order phase transitions
    can be experimentally probed via nonequilibrium dynamics.
acknowledgement: A. A. acknowledges discussions and prior collaboration on related
  topics with Anatoly Dymarsky. M. S. acknowledges Ashwin Vishwanath for introducing
  him to the idea of thermal first-order phase transitions in quantum systems. This
  research was supported in part by Grant No. NSF PHY-2309135 to the Kavli Institute
  for Theoretical Physics (KITP) and by the Erwin Schrödinger International Institute
  for Mathematics and Physics (ESI). O. K. D. acknowledges support from the NSF through
  a grant for ITAMP at Harvard University. D. A. H. was supported in part by NSF QLCI
  Grant No. OMA-2120757.
article_number: '031042'
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Maksym
  full_name: Serbyn, Maksym
  id: 47809E7E-F248-11E8-B48F-1D18A9856A87
  last_name: Serbyn
  orcid: 0000-0002-2399-5827
- first_name: Alexander
  full_name: Avdoshkin, Alexander
  last_name: Avdoshkin
- first_name: Oriana K.
  full_name: Diessel, Oriana K.
  last_name: Diessel
- first_name: David A.
  full_name: Huse, David A.
  last_name: Huse
citation:
  ama: Serbyn M, Avdoshkin A, Diessel OK, Huse DA. Eigenstate thermalization in thermal
    first-order phase transitions. <i>Physical Review X</i>. 2026;16(3). doi:<a href="https://doi.org/10.1103/4zs8-7kf4">10.1103/4zs8-7kf4</a>
  apa: Serbyn, M., Avdoshkin, A., Diessel, O. K., &#38; Huse, D. A. (2026). Eigenstate
    thermalization in thermal first-order phase transitions. <i>Physical Review X</i>.
    American Physical Society. <a href="https://doi.org/10.1103/4zs8-7kf4">https://doi.org/10.1103/4zs8-7kf4</a>
  chicago: Serbyn, Maksym, Alexander Avdoshkin, Oriana K. Diessel, and David A. Huse.
    “Eigenstate Thermalization in Thermal First-Order Phase Transitions.” <i>Physical
    Review X</i>. American Physical Society, 2026. <a href="https://doi.org/10.1103/4zs8-7kf4">https://doi.org/10.1103/4zs8-7kf4</a>.
  ieee: M. Serbyn, A. Avdoshkin, O. K. Diessel, and D. A. Huse, “Eigenstate thermalization
    in thermal first-order phase transitions,” <i>Physical Review X</i>, vol. 16,
    no. 3. American Physical Society, 2026.
  ista: Serbyn M, Avdoshkin A, Diessel OK, Huse DA. 2026. Eigenstate thermalization
    in thermal first-order phase transitions. Physical Review X. 16(3), 031042.
  mla: Serbyn, Maksym, et al. “Eigenstate Thermalization in Thermal First-Order Phase
    Transitions.” <i>Physical Review X</i>, vol. 16, no. 3, 031042, American Physical
    Society, 2026, doi:<a href="https://doi.org/10.1103/4zs8-7kf4">10.1103/4zs8-7kf4</a>.
  short: M. Serbyn, A. Avdoshkin, O.K. Diessel, D.A. Huse, Physical Review X 16 (2026).
corr_author: '1'
das_tickbox: '1'
dataavailabilitystatement: There are no publicly available research data or software
  supporting this manuscript. Requests for further information or data should be sent
  to the authors.
date_created: 2026-08-24T06:57:25Z
date_published: 2026-08-18T00:00:00Z
date_updated: 2026-09-09T07:01:47Z
day: '18'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.1103/4zs8-7kf4
external_id:
  arxiv:
  - '2601.08347'
file:
- access_level: open_access
  checksum: 8bf0d88f17783dc1e6bf4c754534d734
  content_type: application/pdf
  creator: dernst
  date_created: 2026-09-09T07:00:24Z
  date_updated: 2026-09-09T07:00:24Z
  file_id: '22862'
  file_name: 2026_PhysicalReviewX_Serbyn.pdf
  file_size: 2537492
  relation: main_file
  success: 1
file_date_updated: 2026-09-09T07:00:24Z
fulldoi: https://doi.org/10.1103/4zs8-7kf4
has_accepted_license: '1'
intvolume: '        16'
issue: '3'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
publication: Physical Review X
publication_identifier:
  issn:
  - 2160-3308
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
researchdata_availability: upon request
scopus_import: '1'
status: public
supplementarymaterial: yes
title: Eigenstate thermalization in thermal first-order phase transitions
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: 16
year: '2026'
...
---
OA_place: publisher
OA_type: hybrid
_id: '22213'
abstract:
- lang: eng
  text: Unlike biological active matter that constantly adapt to their environment,
    the motors of synthetic active particles are typically agnostic to their surroundings
    and merely operate at constant force. Here, we design colloidal active rods capable
    of modulating their inner activity in response to crowding, thereby enforcing
    a primitive form of quorum sensing interactions. Through experiments, simulations,
    and theory we elucidate the impact of these interactions on the phase behavior
    of isotropic active matter. We demonstrate that, when conditioned to density,
    motility regulation can either lead to an absorbing phase transition, where all
    particles freeze their dynamics, or to atypical phase separation, where flat interfaces
    supporting a net pressure drop are in mechanical equilibrium. Fully active and
    fully arrested particles can then form heterogeneous patterns ruled by the competition
    between quorum sensing and mechanical interactions. Beyond the specifics of motile
    colloids, we expect our findings to apply broadly to adaptive active matter assembled
    from living or synthetic units.
article_number: '031050'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Thibault
  full_name: Lefranc, Thibault
  last_name: Lefranc
- first_name: Alberto
  full_name: Dinelli, Alberto
  last_name: Dinelli
- first_name: Carla
  full_name: Fernández-Rico, Carla
  id: 492def71-6250-11f0-b278-d41dbd241b62
  last_name: Fernández-Rico
- first_name: Roel P. A.
  full_name: Dullens, Roel P. A.
  last_name: Dullens
- first_name: Julien
  full_name: Tailleur, Julien
  last_name: Tailleur
- first_name: Denis
  full_name: Bartolo, Denis
  last_name: Bartolo
citation:
  ama: Lefranc T, Dinelli A, Fernández-Rico C, Dullens RPA, Tailleur J, Bartolo D.
    Synthetic quorum sensing and absorbing phase transitions in colloidal active matter.
    <i>Physical Review X</i>. 2025;15(3). doi:<a href="https://doi.org/10.1103/8csn-71jk">10.1103/8csn-71jk</a>
  apa: Lefranc, T., Dinelli, A., Fernández-Rico, C., Dullens, R. P. A., Tailleur,
    J., &#38; Bartolo, D. (2025). Synthetic quorum sensing and absorbing phase transitions
    in colloidal active matter. <i>Physical Review X</i>. American Physical Society.
    <a href="https://doi.org/10.1103/8csn-71jk">https://doi.org/10.1103/8csn-71jk</a>
  chicago: Lefranc, Thibault, Alberto Dinelli, Carla Fernández-Rico, Roel P. A. Dullens,
    Julien Tailleur, and Denis Bartolo. “Synthetic Quorum Sensing and Absorbing Phase
    Transitions in Colloidal Active Matter.” <i>Physical Review X</i>. American Physical
    Society, 2025. <a href="https://doi.org/10.1103/8csn-71jk">https://doi.org/10.1103/8csn-71jk</a>.
  ieee: T. Lefranc, A. Dinelli, C. Fernández-Rico, R. P. A. Dullens, J. Tailleur,
    and D. Bartolo, “Synthetic quorum sensing and absorbing phase transitions in colloidal
    active matter,” <i>Physical Review X</i>, vol. 15, no. 3. American Physical Society,
    2025.
  ista: Lefranc T, Dinelli A, Fernández-Rico C, Dullens RPA, Tailleur J, Bartolo D.
    2025. Synthetic quorum sensing and absorbing phase transitions in colloidal active
    matter. Physical Review X. 15(3), 031050.
  mla: Lefranc, Thibault, et al. “Synthetic Quorum Sensing and Absorbing Phase Transitions
    in Colloidal Active Matter.” <i>Physical Review X</i>, vol. 15, no. 3, 031050,
    American Physical Society, 2025, doi:<a href="https://doi.org/10.1103/8csn-71jk">10.1103/8csn-71jk</a>.
  short: T. Lefranc, A. Dinelli, C. Fernández-Rico, R.P.A. Dullens, J. Tailleur, D.
    Bartolo, Physical Review X 15 (2025).
date_created: 2026-06-30T06:32:31Z
date_published: 2025-08-22T00:00:00Z
date_updated: 2026-07-15T07:21:38Z
day: '22'
ddc:
- '530'
doi: 10.1103/8csn-71jk
extern: '1'
external_id:
  arxiv:
  - '2502.13919'
fulldoi: https://doi.org/10.1103/8csn-71jk
has_accepted_license: '1'
intvolume: '        15'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1103/8csn-71jk
month: '08'
oa: 1
oa_version: Published Version
publication: Physical Review X
publication_identifier:
  issn:
  - 2160-3308
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Synthetic quorum sensing and absorbing phase transitions in colloidal active
  matter
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: 15
year: '2025'
...
---
APC_amount: 4863,6 EUR
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
_id: '17493'
abstract:
- lang: eng
  text: Estimating global properties of many-body quantum systems such as entropy
    or bipartite entanglement is a notoriously difficult task, typically requiring
    a number of measurements or classical postprocessing resources growing exponentially
    in the system size. In this work, we address the problem of estimating global
    entropies and mixed-state entanglement via partial-transposed (PT) moments and
    show that efficient estimation strategies exist under the assumption that all
    the spatial correlation lengths are finite. Focusing on one-dimensional systems,
    we identify a set of approximate factorization conditions (AFCs) on the system
    density matrix, which allow us to reconstruct entropies and PT moments from information
    on local subsystems. This identification yields a simple and efficient strategy
    for entropy and entanglement estimation. Our method could be implemented in different
    ways, depending on how information on local subsystems is extracted. Focusing
    on randomized measurements providing a practical and common measurement scheme,
    we prove that our protocol requires only polynomially many measurements and postprocessing
    operations, assuming that the state to be measured satisfies the AFCs. We prove
    that the AFCs hold for finite-depth quantum-circuit states and translation-invariant
    matrix-product density operators and provide numerical evidence that they are
    satisfied in more general, physically interesting cases, including thermal states
    of local Hamiltonians. We argue that our method could be practically useful to
    detect bipartite mixed-state entanglement for large numbers of qubits available
    in today’s quantum platforms.
acknowledgement: B. V. acknowledges funding from the Austrian Science Foundation (Grant
  No. FWF, P 32597 N), from the French National Research Agency via the JCJC project
  QRand (Grant No. ANR-20-CE47-0005), and via the research programs Plan France 2030
  EPIQ (Grant No. ANR-22-PETQ-0007), QUBITAF (Grant No. ANR-22-PETQ-0004), and HQI
  (Grant No. ANR-22-PNCQ-0002). M. L. and M. S. acknowledge support by the European
  Research Council under the European Union’s Horizon 2020 research and innovation
  program (Grant Agreement No. 850899). M. S. acknowledges the hospitality of KITP
  supported in part by the National Science Foundation under Grants No. NSF PHY-1748958
  and No. NSF PHY-2309135. J. I. C. is supported by the Hightech Agenda Bayern Plus
  through the Munich Quantum Valley and the German Federal Ministry of Education and
  Research through EQUAHUMO (Grant No. 13N16066). P. Z. acknowledges funding from
  the European Union’s Horizon 2020 research and innovation program under Grant Agreement
  No. 101113690 (PASQuanS2.1).
article_number: '031035'
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Benoît
  full_name: Vermersch, Benoît
  last_name: Vermersch
- first_name: Marko
  full_name: Ljubotina, Marko
  id: F75EE9BE-5C90-11EA-905D-16643DDC885E
  last_name: Ljubotina
  orcid: 0000-0003-0038-7068
- first_name: J. Ignacio
  full_name: Cirac, J. Ignacio
  last_name: Cirac
- first_name: Peter
  full_name: Zoller, Peter
  last_name: Zoller
- first_name: Maksym
  full_name: Serbyn, Maksym
  id: 47809E7E-F248-11E8-B48F-1D18A9856A87
  last_name: Serbyn
  orcid: 0000-0002-2399-5827
- first_name: Lorenzo
  full_name: Piroli, Lorenzo
  last_name: Piroli
citation:
  ama: Vermersch B, Ljubotina M, Cirac JI, Zoller P, Serbyn M, Piroli L. Many-body
    entropies and entanglement from polynomially many local measurements. <i>Physical
    Review X</i>. 2024;14(3). doi:<a href="https://doi.org/10.1103/physrevx.14.031035">10.1103/physrevx.14.031035</a>
  apa: Vermersch, B., Ljubotina, M., Cirac, J. I., Zoller, P., Serbyn, M., &#38; Piroli,
    L. (2024). Many-body entropies and entanglement from polynomially many local measurements.
    <i>Physical Review X</i>. American Physical Society. <a href="https://doi.org/10.1103/physrevx.14.031035">https://doi.org/10.1103/physrevx.14.031035</a>
  chicago: Vermersch, Benoît, Marko Ljubotina, J. Ignacio Cirac, Peter Zoller, Maksym
    Serbyn, and Lorenzo Piroli. “Many-Body Entropies and Entanglement from Polynomially
    Many Local Measurements.” <i>Physical Review X</i>. American Physical Society,
    2024. <a href="https://doi.org/10.1103/physrevx.14.031035">https://doi.org/10.1103/physrevx.14.031035</a>.
  ieee: B. Vermersch, M. Ljubotina, J. I. Cirac, P. Zoller, M. Serbyn, and L. Piroli,
    “Many-body entropies and entanglement from polynomially many local measurements,”
    <i>Physical Review X</i>, vol. 14, no. 3. American Physical Society, 2024.
  ista: Vermersch B, Ljubotina M, Cirac JI, Zoller P, Serbyn M, Piroli L. 2024. Many-body
    entropies and entanglement from polynomially many local measurements. Physical
    Review X. 14(3), 031035.
  mla: Vermersch, Benoît, et al. “Many-Body Entropies and Entanglement from Polynomially
    Many Local Measurements.” <i>Physical Review X</i>, vol. 14, no. 3, 031035, American
    Physical Society, 2024, doi:<a href="https://doi.org/10.1103/physrevx.14.031035">10.1103/physrevx.14.031035</a>.
  short: B. Vermersch, M. Ljubotina, J.I. Cirac, P. Zoller, M. Serbyn, L. Piroli,
    Physical Review X 14 (2024).
date_created: 2024-09-04T18:57:11Z
date_published: 2024-08-26T00:00:00Z
date_updated: 2025-09-08T09:04:14Z
day: '26'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.1103/physrevx.14.031035
ec_funded: 1
external_id:
  arxiv:
  - '2311.08108'
  isi:
  - '001299667100002'
file:
- access_level: open_access
  checksum: 1b114acc89025120727200681e4e9074
  content_type: application/pdf
  creator: cchlebak
  date_created: 2024-09-05T09:39:00Z
  date_updated: 2024-09-05T09:39:00Z
  file_id: '17532'
  file_name: 2024_PhysRevX_Vermersch.pdf
  file_size: 1408836
  relation: main_file
  success: 1
file_date_updated: 2024-09-05T09:39:00Z
fulldoi: https://doi.org/10.1103/physrevx.14.031035
has_accepted_license: '1'
intvolume: '        14'
isi: 1
issue: '3'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 23841C26-32DE-11EA-91FC-C7463DDC885E
  call_identifier: H2020
  grant_number: '850899'
  name: 'Non-Ergodic Quantum Matter: Universality, Dynamics and Control'
publication: Physical Review X
publication_identifier:
  issn:
  - 2160-3308
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Many-body entropies and entanglement from polynomially many local measurements
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: 14
year: '2024'
...
---
_id: '12277'
abstract:
- lang: eng
  text: Cell migration in confining physiological environments relies on the concerted
    dynamics of several cellular components, including protrusions, adhesions with
    the environment, and the cell nucleus. However, it remains poorly understood how
    the dynamic interplay of these components and the cell polarity determine the
    emergent migration behavior at the cellular scale. Here, we combine data-driven
    inference with a mechanistic bottom-up approach to develop a model for protrusion
    and polarity dynamics in confined cell migration, revealing how the cellular dynamics
    adapt to confining geometries. Specifically, we use experimental data of joint
    protrusion-nucleus migration trajectories of cells on confining micropatterns
    to systematically determine a mechanistic model linking the stochastic dynamics
    of cell polarity, protrusions, and nucleus. This model indicates that the cellular
    dynamics adapt to confining constrictions through a switch in the polarity dynamics
    from a negative to a positive self-reinforcing feedback loop. Our model further
    reveals how this feedback loop leads to stereotypical cycles of protrusion-nucleus
    dynamics that drive the migration of the cell through constrictions. These cycles
    are disrupted upon perturbation of cytoskeletal components, indicating that the
    positive feedback is controlled by cellular migration mechanisms. Our data-driven
    theoretical approach therefore identifies polarity feedback adaptation as a key
    mechanism in confined cell migration.
acknowledgement: "We thank Grzegorz Gradziuk, StevenRiedijk, Janni Harju, and M. R.
  Schnucki for helpful discussions, and Andriy Goychuk for advice on the image segmentation.
  This project\r\nwas funded by the Deutsche Forschungsgemeinschaft (DFG, German Research
  Foundation), Project No. 201269156—SFB 1032 (Projects B01 and B12). D. B. B. is
  supported by the NOMIS Foundation and in part by a DFG fellowship within the Graduate
  School of Quantitative Biosciences Munich (QBM), as well as by the Joachim Herz
  Stiftung."
article_number: '031041'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: David
  full_name: Brückner, David
  id: e1e86031-6537-11eb-953a-f7ab92be508d
  last_name: Brückner
  orcid: 0000-0001-7205-2975
- first_name: Matthew
  full_name: Schmitt, Matthew
  last_name: Schmitt
- first_name: Alexandra
  full_name: Fink, Alexandra
  last_name: Fink
- first_name: Georg
  full_name: Ladurner, Georg
  last_name: Ladurner
- first_name: Johannes
  full_name: Flommersfeld, Johannes
  last_name: Flommersfeld
- first_name: Nicolas
  full_name: Arlt, Nicolas
  last_name: Arlt
- first_name: Edouard B
  full_name: Hannezo, Edouard B
  id: 3A9DB764-F248-11E8-B48F-1D18A9856A87
  last_name: Hannezo
  orcid: 0000-0001-6005-1561
- first_name: Joachim O.
  full_name: Rädler, Joachim O.
  last_name: Rädler
- first_name: Chase P.
  full_name: Broedersz, Chase P.
  last_name: Broedersz
citation:
  ama: Brückner D, Schmitt M, Fink A, et al. Geometry adaptation of protrusion and
    polarity dynamics in confined cell migration. <i>Physical Review X</i>. 2022;12(3).
    doi:<a href="https://doi.org/10.1103/physrevx.12.031041">10.1103/physrevx.12.031041</a>
  apa: Brückner, D., Schmitt, M., Fink, A., Ladurner, G., Flommersfeld, J., Arlt,
    N., … Broedersz, C. P. (2022). Geometry adaptation of protrusion and polarity
    dynamics in confined cell migration. <i>Physical Review X</i>. American Physical
    Society. <a href="https://doi.org/10.1103/physrevx.12.031041">https://doi.org/10.1103/physrevx.12.031041</a>
  chicago: Brückner, David, Matthew Schmitt, Alexandra Fink, Georg Ladurner, Johannes
    Flommersfeld, Nicolas Arlt, Edouard B Hannezo, Joachim O. Rädler, and Chase P.
    Broedersz. “Geometry Adaptation of Protrusion and Polarity Dynamics in Confined
    Cell Migration.” <i>Physical Review X</i>. American Physical Society, 2022. <a
    href="https://doi.org/10.1103/physrevx.12.031041">https://doi.org/10.1103/physrevx.12.031041</a>.
  ieee: D. Brückner <i>et al.</i>, “Geometry adaptation of protrusion and polarity
    dynamics in confined cell migration,” <i>Physical Review X</i>, vol. 12, no. 3.
    American Physical Society, 2022.
  ista: Brückner D, Schmitt M, Fink A, Ladurner G, Flommersfeld J, Arlt N, Hannezo
    EB, Rädler JO, Broedersz CP. 2022. Geometry adaptation of protrusion and polarity
    dynamics in confined cell migration. Physical Review X. 12(3), 031041.
  mla: Brückner, David, et al. “Geometry Adaptation of Protrusion and Polarity Dynamics
    in Confined Cell Migration.” <i>Physical Review X</i>, vol. 12, no. 3, 031041,
    American Physical Society, 2022, doi:<a href="https://doi.org/10.1103/physrevx.12.031041">10.1103/physrevx.12.031041</a>.
  short: D. Brückner, M. Schmitt, A. Fink, G. Ladurner, J. Flommersfeld, N. Arlt,
    E.B. Hannezo, J.O. Rädler, C.P. Broedersz, Physical Review X 12 (2022).
date_created: 2023-01-16T10:02:06Z
date_published: 2022-09-20T00:00:00Z
date_updated: 2023-08-04T10:25:49Z
day: '20'
ddc:
- '530'
- '570'
department:
- _id: EdHa
doi: 10.1103/physrevx.12.031041
external_id:
  arxiv:
  - '2106.01014'
  isi:
  - '000861534700001'
file:
- access_level: open_access
  checksum: 40a8fbc3663bf07b37cb80020974d40d
  content_type: application/pdf
  creator: dernst
  date_created: 2023-01-30T11:07:27Z
  date_updated: 2023-01-30T11:07:27Z
  file_id: '12458'
  file_name: 2022_PhysicalReviewX_Brueckner.pdf
  file_size: 4686804
  relation: main_file
  success: 1
file_date_updated: 2023-01-30T11:07:27Z
fulldoi: https://doi.org/10.1103/physrevx.12.031041
has_accepted_license: '1'
intvolume: '        12'
isi: 1
issue: '3'
keyword:
- General Physics and Astronomy
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
publication: Physical Review X
publication_identifier:
  issn:
  - 2160-3308
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Geometry adaptation of protrusion and polarity dynamics in confined cell migration
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: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 12
year: '2022'
...
---
_id: '7570'
abstract:
- lang: eng
  text: The relaxation of few-body quantum systems can strongly depend on the initial
    state when the system’s semiclassical phase space is mixed; i.e., regions of chaotic
    motion coexist with regular islands. In recent years, there has been much effort
    to understand the process of thermalization in strongly interacting quantum systems
    that often lack an obvious semiclassical limit. The time-dependent variational
    principle (TDVP) allows one to systematically derive an effective classical (nonlinear)
    dynamical system by projecting unitary many-body dynamics onto a manifold of weakly
    entangled variational states. We demonstrate that such dynamical systems generally
    possess mixed phase space. When TDVP errors are small, the mixed phase space leaves
    a footprint on the exact dynamics of the quantum model. For example, when the
    system is initialized in a state belonging to a stable periodic orbit or the surrounding
    regular region, it exhibits persistent many-body quantum revivals. As a proof
    of principle, we identify new types of “quantum many-body scars,” i.e., initial
    states that lead to long-time oscillations in a model of interacting Rydberg atoms
    in one and two dimensions. Intriguingly, the initial states that give rise to
    most robust revivals are typically entangled states. On the other hand, even when
    TDVP errors are large, as in the thermalizing tilted-field Ising model, initializing
    the system in a regular region of phase space leads to a surprising slowdown of
    thermalization. Our work establishes TDVP as a method for identifying interacting
    quantum systems with anomalous dynamics in arbitrary dimensions. Moreover, the
    mixed phase space classical variational equations allow one to find slowly thermalizing
    initial conditions in interacting models. Our results shed light on a link between
    classical and quantum chaos, pointing toward possible extensions of the classical
    Kolmogorov-Arnold-Moser theorem to quantum systems.
article_number: '011055'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Alexios
  full_name: Michailidis, Alexios
  id: 36EBAD38-F248-11E8-B48F-1D18A9856A87
  last_name: Michailidis
  orcid: 0000-0002-8443-1064
- first_name: C. J.
  full_name: Turner, C. J.
  last_name: Turner
- first_name: Z.
  full_name: Papić, Z.
  last_name: Papić
- first_name: D. A.
  full_name: Abanin, D. A.
  last_name: Abanin
- first_name: Maksym
  full_name: Serbyn, Maksym
  id: 47809E7E-F248-11E8-B48F-1D18A9856A87
  last_name: Serbyn
  orcid: 0000-0002-2399-5827
citation:
  ama: Michailidis A, Turner CJ, Papić Z, Abanin DA, Serbyn M. Slow quantum thermalization
    and many-body revivals from mixed phase space. <i>Physical Review X</i>. 2020;10(1).
    doi:<a href="https://doi.org/10.1103/physrevx.10.011055">10.1103/physrevx.10.011055</a>
  apa: Michailidis, A., Turner, C. J., Papić, Z., Abanin, D. A., &#38; Serbyn, M.
    (2020). Slow quantum thermalization and many-body revivals from mixed phase space.
    <i>Physical Review X</i>. American Physical Society. <a href="https://doi.org/10.1103/physrevx.10.011055">https://doi.org/10.1103/physrevx.10.011055</a>
  chicago: Michailidis, Alexios, C. J. Turner, Z. Papić, D. A. Abanin, and Maksym
    Serbyn. “Slow Quantum Thermalization and Many-Body Revivals from Mixed Phase Space.”
    <i>Physical Review X</i>. American Physical Society, 2020. <a href="https://doi.org/10.1103/physrevx.10.011055">https://doi.org/10.1103/physrevx.10.011055</a>.
  ieee: A. Michailidis, C. J. Turner, Z. Papić, D. A. Abanin, and M. Serbyn, “Slow
    quantum thermalization and many-body revivals from mixed phase space,” <i>Physical
    Review X</i>, vol. 10, no. 1. American Physical Society, 2020.
  ista: Michailidis A, Turner CJ, Papić Z, Abanin DA, Serbyn M. 2020. Slow quantum
    thermalization and many-body revivals from mixed phase space. Physical Review
    X. 10(1), 011055.
  mla: Michailidis, Alexios, et al. “Slow Quantum Thermalization and Many-Body Revivals
    from Mixed Phase Space.” <i>Physical Review X</i>, vol. 10, no. 1, 011055, American
    Physical Society, 2020, doi:<a href="https://doi.org/10.1103/physrevx.10.011055">10.1103/physrevx.10.011055</a>.
  short: A. Michailidis, C.J. Turner, Z. Papić, D.A. Abanin, M. Serbyn, Physical Review
    X 10 (2020).
date_created: 2020-03-08T18:02:01Z
date_published: 2020-03-04T00:00:00Z
date_updated: 2023-08-18T07:01:07Z
day: '04'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.1103/physrevx.10.011055
external_id:
  arxiv:
  - '1905.08564'
  isi:
  - '000517969300001'
file:
- access_level: open_access
  checksum: 4b3f2c13873d35230173c73d0e11c408
  content_type: application/pdf
  creator: dernst
  date_created: 2020-03-12T12:13:07Z
  date_updated: 2020-07-14T12:48:00Z
  file_id: '7581'
  file_name: 2020_PhysicalReviewX_Michailidis.pdf
  file_size: 17828638
  relation: main_file
file_date_updated: 2020-07-14T12:48:00Z
fulldoi: https://doi.org/10.1103/physrevx.10.011055
has_accepted_license: '1'
intvolume: '        10'
isi: 1
issue: '1'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
publication: Physical Review X
publication_identifier:
  issn:
  - 2160-3308
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
  link:
  - description: News on IST Homepage
    relation: press_release
    url: https://ist.ac.at/en/news/classical-physics-helps-predict-fate-of-interacting-quantum-systems/
scopus_import: '1'
status: public
title: Slow quantum thermalization and many-body revivals from mixed phase space
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: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 10
year: '2020'
...
---
_id: '1114'
abstract:
- lang: eng
  text: Nonequilibrium phase transitions exist in damped-driven open quantum systems
    when the continuous tuning of an external parameter leads to a transition between
    two robust steady states. In second-order transitions this change is abrupt at
    a critical point, whereas in first-order transitions the two phases can coexist
    in a critical hysteresis domain. Here, we report the observation of a first-order
    dissipative quantum phase transition in a driven circuit quantum electrodynamics
    system. It takes place when the photon blockade of the driven cavity-atom system
    is broken by increasing the drive power. The observed experimental signature is
    a bimodal phase space distribution with varying weights controlled by the drive
    strength. Our measurements show an improved stabilization of the classical attractors
    up to the millisecond range when the size of the quantum system is increased from
    one to three artificial atoms. The formation of such robust pointer states could
    be used for new quantum measurement schemes or to investigate multiphoton phases
    of finite-size, nonlinear, open quantum systems.
article_number: '011012'
article_processing_charge: Yes
author:
- first_name: Johannes M
  full_name: Fink, Johannes M
  id: 4B591CBA-F248-11E8-B48F-1D18A9856A87
  last_name: Fink
  orcid: 0000-0001-8112-028X
- first_name: András
  full_name: Dombi, András
  last_name: Dombi
- first_name: András
  full_name: Vukics, András
  last_name: Vukics
- first_name: Andreas
  full_name: Wallraff, Andreas
  last_name: Wallraff
- first_name: Peter
  full_name: Domokos, Peter
  last_name: Domokos
citation:
  ama: Fink JM, Dombi A, Vukics A, Wallraff A, Domokos P. Observation of the photon
    blockade breakdown phase transition. <i>Physical Review X</i>. 2017;7(1). doi:<a
    href="https://doi.org/10.1103/PhysRevX.7.011012">10.1103/PhysRevX.7.011012</a>
  apa: Fink, J. M., Dombi, A., Vukics, A., Wallraff, A., &#38; Domokos, P. (2017).
    Observation of the photon blockade breakdown phase transition. <i>Physical Review
    X</i>. American Physical Society. <a href="https://doi.org/10.1103/PhysRevX.7.011012">https://doi.org/10.1103/PhysRevX.7.011012</a>
  chicago: Fink, Johannes M, András Dombi, András Vukics, Andreas Wallraff, and Peter
    Domokos. “Observation of the Photon Blockade Breakdown Phase Transition.” <i>Physical
    Review X</i>. American Physical Society, 2017. <a href="https://doi.org/10.1103/PhysRevX.7.011012">https://doi.org/10.1103/PhysRevX.7.011012</a>.
  ieee: J. M. Fink, A. Dombi, A. Vukics, A. Wallraff, and P. Domokos, “Observation
    of the photon blockade breakdown phase transition,” <i>Physical Review X</i>,
    vol. 7, no. 1. American Physical Society, 2017.
  ista: Fink JM, Dombi A, Vukics A, Wallraff A, Domokos P. 2017. Observation of the
    photon blockade breakdown phase transition. Physical Review X. 7(1), 011012.
  mla: Fink, Johannes M., et al. “Observation of the Photon Blockade Breakdown Phase
    Transition.” <i>Physical Review X</i>, vol. 7, no. 1, 011012, American Physical
    Society, 2017, doi:<a href="https://doi.org/10.1103/PhysRevX.7.011012">10.1103/PhysRevX.7.011012</a>.
  short: J.M. Fink, A. Dombi, A. Vukics, A. Wallraff, P. Domokos, Physical Review
    X 7 (2017).
date_created: 2018-12-11T11:50:13Z
date_published: 2017-01-31T00:00:00Z
date_updated: 2025-07-10T11:50:07Z
day: '31'
ddc:
- '539'
department:
- _id: JoFi
doi: 10.1103/PhysRevX.7.011012
external_id:
  isi:
  - '000397450500001'
file:
- access_level: open_access
  content_type: application/pdf
  creator: system
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fulldoi: https://doi.org/10.1103/PhysRevX.7.011012
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intvolume: '         7'
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publication: Physical Review X
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publisher: American Physical Society
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title: Observation of the photon blockade breakdown phase transition
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