[{"_id":"21899","status":"public","abstract":[{"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.","lang":"eng"}],"article_type":"original","scopus_import":"1","doi":"10.1103/x82g-cq7n","title":"Cell bulging and extrusion in a three-dimensional bubbly vertex model for curved epithelial sheets","quality_controlled":"1","file":[{"checksum":"a90e905968648ac4425c256de901e9c3","file_size":5603164,"access_level":"open_access","date_updated":"2026-05-21T06:05:49Z","content_type":"application/pdf","creator":"dernst","file_id":"21901","relation":"main_file","date_created":"2026-05-21T06:05:49Z","file_name":"2026_PhysicalReviewX_Drozdowski.pdf","success":1}],"date_published":"2026-04-30T00:00:00Z","department":[{"_id":"EdHa"}],"has_accepted_license":"1","oa":1,"year":"2026","intvolume":"        16","author":[{"first_name":"Oliver M","full_name":"Drozdowski, Oliver M","id":"cd4ed792-b872-11ef-bb90-b7b3a3f62f75","last_name":"Drozdowski"},{"first_name":"Büşra","last_name":"Kocameşe-Tamgac𝚤","full_name":"Kocameşe-Tamgac𝚤, Büşra"},{"first_name":"Kim E.","full_name":"Boonekamp, Kim E.","last_name":"Boonekamp"},{"first_name":"Michael","full_name":"Boutros, Michael","last_name":"Boutros"},{"full_name":"Schwarz, Ulrich S.","last_name":"Schwarz","first_name":"Ulrich S."}],"day":"30","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","issue":"2","month":"04","article_processing_charge":"Yes","file_date_updated":"2026-05-21T06:05:49Z","OA_place":"publisher","fulldoi":"https://doi.org/10.1103/x82g-cq7n","date_updated":"2026-05-21T06:08:11Z","volume":16,"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.","publication_identifier":{"issn":["2160-3308"]},"publisher":"American Physical Society","DOAJ_listed":"1","ddc":["530"],"license":"https://creativecommons.org/licenses/by/4.0/","publication_status":"published","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"type":"journal_article","oa_version":"Published Version","publication":"Physical Review X","OA_type":"gold","date_created":"2026-05-20T14:35:57Z","language":[{"iso":"eng"}],"article_number":"021023","citation":{"ista":"Drozdowski OM, Kocameşe-Tamgac𝚤 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.","short":"O.M. Drozdowski, B. Kocameşe-Tamgac𝚤, K.E. Boonekamp, M. Boutros, U.S. Schwarz, Physical Review X 16 (2026).","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>.","ieee":"O. M. Drozdowski, B. Kocameşe-Tamgac𝚤, 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.","apa":"Drozdowski, O. M., Kocameşe-Tamgac𝚤, 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-Tamgac𝚤, 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>.","ama":"Drozdowski OM, Kocameşe-Tamgac𝚤 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>"}},{"ddc":["530"],"DOAJ_listed":"1","publisher":"American Physical Society","publication_identifier":{"issn":["2160-3308"]},"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.","volume":16,"date_updated":"2026-07-13T11:17:51Z","das_tickbox":"1","citation":{"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.","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).","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>.","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.","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>.","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>"},"article_number":"021063","language":[{"iso":"eng"}],"date_created":"2026-07-13T09:40:54Z","OA_type":"gold","researchdata_availability":"yes","publication":"Physical Review X","oa_version":"Published Version","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"arxiv":1,"external_id":{"arxiv":["2410.09158"]},"publication_status":"published","oa":1,"has_accepted_license":"1","department":[{"_id":"CaGo"}],"file":[{"content_type":"application/pdf","creator":"dernst","file_id":"22309","checksum":"47354f40981223fb0c9afe292f16ead1","file_size":4367284,"access_level":"open_access","date_updated":"2026-07-13T11:16:47Z","file_name":"2026_PhysicalReviewX_Bain.pdf","success":1,"relation":"main_file","date_created":"2026-07-13T11:16:47Z"}],"quality_controlled":"1","date_published":"2026-06-30T00:00:00Z","title":"Multiscale interfacial mechanics of soft solids","doi":"10.1103/8msx-l8s7","PlanS_conform":"1","scopus_import":"1","article_type":"original","_id":"22288","status":"public","abstract":[{"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.","lang":"eng"}],"dataavailabilitystatement":"The data that support the findings of this article are openly available https://github.com/nicobain/Multiscale_interfacial_mechanics_soft_solids_data","fulldoi":"https://doi.org/10.1103/8msx-l8s7","OA_place":"publisher","file_date_updated":"2026-07-13T11:16:47Z","supplementarymaterial":"yes","article_processing_charge":"Yes","month":"06","issue":"2","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"first_name":"Nicolas","full_name":"Bain, Nicolas","last_name":"Bain"},{"full_name":"Wilen, Lawrence A.","last_name":"Wilen","first_name":"Lawrence A."},{"full_name":"Gerber, Dominic","last_name":"Gerber","first_name":"Dominic"},{"first_name":"Mengjie","full_name":"Zu, Mengjie","last_name":"Zu","id":"26dd9e7c-e86a-11eb-a854-82ac731c9ae2"},{"orcid":"0000-0002-1307-5074","first_name":"Carl Peter","full_name":"Goodrich, Carl Peter","last_name":"Goodrich","id":"EB352CD2-F68A-11E9-89C5-A432E6697425"},{"first_name":"Senthilkumar","last_name":"Duraivel","full_name":"Duraivel, Senthilkumar"},{"first_name":"Kaarthik","full_name":"Varma, Kaarthik","last_name":"Varma"},{"first_name":"Harsha","full_name":"Koganti, Harsha","last_name":"Koganti"},{"full_name":"Style, Robert W.","last_name":"Style","first_name":"Robert W."},{"last_name":"Dufresne","full_name":"Dufresne, Eric R.","first_name":"Eric R."}],"day":"30","intvolume":"        16","year":"2026"},{"publication_identifier":{"issn":["2160-3308"]},"publisher":"American Physical Society","DOAJ_listed":"1","ddc":["530"],"das_tickbox":"1","date_updated":"2026-09-09T07:01:47Z","volume":16,"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.","date_created":"2026-08-24T06:57:25Z","language":[{"iso":"eng"}],"article_number":"031042","citation":{"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.","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>.","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>","ista":"Serbyn M, Avdoshkin A, Diessel OK, Huse DA. 2026. Eigenstate thermalization in thermal first-order phase transitions. Physical Review X. 16(3), 031042.","short":"M. Serbyn, A. Avdoshkin, O.K. Diessel, D.A. Huse, Physical Review X 16 (2026).","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>."},"publication_status":"published","external_id":{"arxiv":["2601.08347"]},"arxiv":1,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"type":"journal_article","oa_version":"Published Version","publication":"Physical Review X","OA_type":"gold","researchdata_availability":"upon request","date_published":"2026-08-18T00:00:00Z","quality_controlled":"1","file":[{"file_name":"2026_PhysicalReviewX_Serbyn.pdf","success":1,"relation":"main_file","date_created":"2026-09-09T07:00:24Z","creator":"dernst","file_id":"22862","content_type":"application/pdf","file_size":2537492,"access_level":"open_access","date_updated":"2026-09-09T07:00:24Z","checksum":"8bf0d88f17783dc1e6bf4c754534d734"}],"department":[{"_id":"MaSe"}],"corr_author":"1","has_accepted_license":"1","oa":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.","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."}],"_id":"22755","status":"public","PlanS_conform":"1","article_type":"original","scopus_import":"1","doi":"10.1103/4zs8-7kf4","title":"Eigenstate thermalization in thermal first-order phase transitions","author":[{"full_name":"Serbyn, Maksym","last_name":"Serbyn","id":"47809E7E-F248-11E8-B48F-1D18A9856A87","first_name":"Maksym","orcid":"0000-0002-2399-5827"},{"full_name":"Avdoshkin, Alexander","last_name":"Avdoshkin","first_name":"Alexander"},{"first_name":"Oriana K.","last_name":"Diessel","full_name":"Diessel, Oriana K."},{"first_name":"David A.","full_name":"Huse, David A.","last_name":"Huse"}],"day":"18","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","issue":"3","month":"08","article_processing_charge":"Yes","supplementarymaterial":"yes","file_date_updated":"2026-09-09T07:00:24Z","OA_place":"publisher","fulldoi":"https://doi.org/10.1103/4zs8-7kf4","year":"2026","intvolume":"        16"},{"ddc":["530"],"publication_identifier":{"issn":["2160-3308"]},"publisher":"American Physical Society","volume":15,"date_updated":"2026-07-15T07:21:38Z","language":[{"iso":"eng"}],"article_number":"031050","citation":{"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.","short":"T. Lefranc, A. Dinelli, C. Fernández-Rico, R.P.A. Dullens, J. Tailleur, D. Bartolo, Physical Review X 15 (2025).","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>.","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.","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>.","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>"},"date_created":"2026-06-30T06:32:31Z","oa_version":"Published Version","main_file_link":[{"url":"https://doi.org/10.1103/8csn-71jk","open_access":"1"}],"OA_type":"hybrid","publication":"Physical Review X","external_id":{"arxiv":["2502.13919"]},"publication_status":"published","arxiv":1,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"extern":"1","type":"journal_article","has_accepted_license":"1","oa":1,"quality_controlled":"1","date_published":"2025-08-22T00:00:00Z","doi":"10.1103/8csn-71jk","title":"Synthetic quorum sensing and absorbing phase transitions in colloidal active matter","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."}],"_id":"22213","status":"public","article_type":"original","scopus_import":"1","article_processing_charge":"No","OA_place":"publisher","fulldoi":"https://doi.org/10.1103/8csn-71jk","day":"22","author":[{"first_name":"Thibault","full_name":"Lefranc, Thibault","last_name":"Lefranc"},{"full_name":"Dinelli, Alberto","last_name":"Dinelli","first_name":"Alberto"},{"id":"492def71-6250-11f0-b278-d41dbd241b62","last_name":"Fernández-Rico","full_name":"Fernández-Rico, Carla","first_name":"Carla"},{"last_name":"Dullens","full_name":"Dullens, Roel P. A.","first_name":"Roel P. A."},{"first_name":"Julien","full_name":"Tailleur, Julien","last_name":"Tailleur"},{"first_name":"Denis","full_name":"Bartolo, Denis","last_name":"Bartolo"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","issue":"3","month":"08","intvolume":"        15","year":"2025"},{"language":[{"iso":"eng"}],"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>","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>.","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>","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.","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).","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."},"article_number":"031035","date_created":"2024-09-04T18:57:11Z","publication":"Physical Review X","OA_type":"gold","oa_version":"Published Version","arxiv":1,"external_id":{"isi":["001299667100002"],"arxiv":["2311.08108"]},"publication_status":"published","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"DOAJ_listed":"1","ddc":["530"],"publication_identifier":{"issn":["2160-3308"]},"publisher":"American Physical Society","volume":14,"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).","date_updated":"2025-09-08T09:04:14Z","file_date_updated":"2024-09-05T09:39:00Z","article_processing_charge":"Yes","OA_place":"publisher","fulldoi":"https://doi.org/10.1103/physrevx.14.031035","isi":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","author":[{"first_name":"Benoît","last_name":"Vermersch","full_name":"Vermersch, Benoît"},{"last_name":"Ljubotina","id":"F75EE9BE-5C90-11EA-905D-16643DDC885E","full_name":"Ljubotina, Marko","first_name":"Marko","orcid":"0000-0003-0038-7068"},{"last_name":"Cirac","full_name":"Cirac, J. Ignacio","first_name":"J. Ignacio"},{"last_name":"Zoller","full_name":"Zoller, Peter","first_name":"Peter"},{"orcid":"0000-0002-2399-5827","full_name":"Serbyn, Maksym","id":"47809E7E-F248-11E8-B48F-1D18A9856A87","last_name":"Serbyn","first_name":"Maksym"},{"full_name":"Piroli, Lorenzo","last_name":"Piroli","first_name":"Lorenzo"}],"day":"26","month":"08","APC_amount":"4863,6 EUR","issue":"3","intvolume":"        14","year":"2024","ec_funded":1,"has_accepted_license":"1","oa":1,"date_published":"2024-08-26T00:00:00Z","file":[{"content_type":"application/pdf","creator":"cchlebak","file_id":"17532","checksum":"1b114acc89025120727200681e4e9074","file_size":1408836,"access_level":"open_access","date_updated":"2024-09-05T09:39:00Z","success":1,"file_name":"2024_PhysRevX_Vermersch.pdf","relation":"main_file","date_created":"2024-09-05T09:39:00Z"}],"quality_controlled":"1","project":[{"call_identifier":"H2020","_id":"23841C26-32DE-11EA-91FC-C7463DDC885E","name":"Non-Ergodic Quantum Matter: Universality, Dynamics and Control","grant_number":"850899"}],"department":[{"_id":"MaSe"}],"doi":"10.1103/physrevx.14.031035","title":"Many-body entropies and entanglement from polynomially many local measurements","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."}],"_id":"17493","status":"public","article_type":"original","scopus_import":"1"},{"has_accepted_license":"1","oa":1,"date_published":"2022-09-20T00:00:00Z","quality_controlled":"1","file":[{"file_name":"2022_PhysicalReviewX_Brueckner.pdf","success":1,"relation":"main_file","date_created":"2023-01-30T11:07:27Z","content_type":"application/pdf","creator":"dernst","file_id":"12458","checksum":"40a8fbc3663bf07b37cb80020974d40d","file_size":4686804,"access_level":"open_access","date_updated":"2023-01-30T11:07:27Z"}],"department":[{"_id":"EdHa"}],"doi":"10.1103/physrevx.12.031041","title":"Geometry adaptation of protrusion and polarity dynamics in confined cell migration","_id":"12277","abstract":[{"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.","lang":"eng"}],"status":"public","scopus_import":"1","article_type":"original","file_date_updated":"2023-01-30T11:07:27Z","article_processing_charge":"No","fulldoi":"https://doi.org/10.1103/physrevx.12.031041","isi":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"last_name":"Brückner","id":"e1e86031-6537-11eb-953a-f7ab92be508d","full_name":"Brückner, David","first_name":"David","orcid":"0000-0001-7205-2975"},{"first_name":"Matthew","last_name":"Schmitt","full_name":"Schmitt, Matthew"},{"first_name":"Alexandra","last_name":"Fink","full_name":"Fink, Alexandra"},{"last_name":"Ladurner","full_name":"Ladurner, Georg","first_name":"Georg"},{"full_name":"Flommersfeld, Johannes","last_name":"Flommersfeld","first_name":"Johannes"},{"full_name":"Arlt, Nicolas","last_name":"Arlt","first_name":"Nicolas"},{"full_name":"Hannezo, Edouard B","id":"3A9DB764-F248-11E8-B48F-1D18A9856A87","last_name":"Hannezo","first_name":"Edouard B","orcid":"0000-0001-6005-1561"},{"full_name":"Rädler, Joachim O.","last_name":"Rädler","first_name":"Joachim O."},{"last_name":"Broedersz","full_name":"Broedersz, Chase P.","first_name":"Chase P."}],"day":"20","month":"09","issue":"3","keyword":["General Physics and Astronomy"],"intvolume":"        12","year":"2022","ddc":["530","570"],"publication_identifier":{"issn":["2160-3308"]},"publisher":"American Physical Society","volume":12,"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.","date_updated":"2023-08-04T10:25:49Z","language":[{"iso":"eng"}],"citation":{"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.","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>.","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>","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.","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).","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>."},"article_number":"031041","date_created":"2023-01-16T10:02:06Z","publication":"Physical Review X","oa_version":"Published Version","arxiv":1,"publication_status":"published","external_id":{"isi":["000861534700001"],"arxiv":["2106.01014"]},"type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"}},{"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","day":"04","author":[{"first_name":"Alexios","full_name":"Michailidis, Alexios","last_name":"Michailidis","id":"36EBAD38-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8443-1064"},{"first_name":"C. J.","last_name":"Turner","full_name":"Turner, C. J."},{"last_name":"Papić","full_name":"Papić, Z.","first_name":"Z."},{"first_name":"D. A.","full_name":"Abanin, D. A.","last_name":"Abanin"},{"full_name":"Serbyn, Maksym","last_name":"Serbyn","id":"47809E7E-F248-11E8-B48F-1D18A9856A87","first_name":"Maksym","orcid":"0000-0002-2399-5827"}],"month":"03","issue":"1","file_date_updated":"2020-07-14T12:48:00Z","article_processing_charge":"No","fulldoi":"https://doi.org/10.1103/physrevx.10.011055","isi":1,"year":"2020","intvolume":"        10","quality_controlled":"1","file":[{"content_type":"application/pdf","creator":"dernst","file_id":"7581","checksum":"4b3f2c13873d35230173c73d0e11c408","file_size":17828638,"access_level":"open_access","date_updated":"2020-07-14T12:48:00Z","file_name":"2020_PhysicalReviewX_Michailidis.pdf","relation":"main_file","date_created":"2020-03-12T12:13:07Z"}],"date_published":"2020-03-04T00:00:00Z","department":[{"_id":"MaSe"}],"has_accepted_license":"1","oa":1,"abstract":[{"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.","lang":"eng"}],"_id":"7570","status":"public","article_type":"original","scopus_import":"1","doi":"10.1103/physrevx.10.011055","title":"Slow quantum thermalization and many-body revivals from mixed phase space","date_created":"2020-03-08T18:02:01Z","language":[{"iso":"eng"}],"citation":{"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.","short":"A. Michailidis, C.J. Turner, Z. Papić, D.A. Abanin, M. Serbyn, Physical Review X 10 (2020).","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>.","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.","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>.","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>"},"article_number":"011055","arxiv":1,"publication_status":"published","external_id":{"arxiv":["1905.08564"],"isi":["000517969300001"]},"type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"publication":"Physical Review X","oa_version":"Published Version","publication_identifier":{"issn":["2160-3308"]},"publisher":"American Physical Society","ddc":["530"],"date_updated":"2023-08-18T07:01:07Z","related_material":{"link":[{"url":"https://ist.ac.at/en/news/classical-physics-helps-predict-fate-of-interacting-quantum-systems/","description":"News on IST Homepage","relation":"press_release"}]},"volume":10},{"intvolume":"         7","year":"2017","isi":1,"fulldoi":"https://doi.org/10.1103/PhysRevX.7.011012","publist_id":"6252","article_processing_charge":"Yes","file_date_updated":"2018-12-12T10:12:52Z","issue":"1","month":"01","day":"31","author":[{"orcid":"0000-0001-8112-028X","full_name":"Fink, Johannes M","last_name":"Fink","id":"4B591CBA-F248-11E8-B48F-1D18A9856A87","first_name":"Johannes M"},{"full_name":"Dombi, András","last_name":"Dombi","first_name":"András"},{"first_name":"András","last_name":"Vukics","full_name":"Vukics, András"},{"first_name":"Andreas","full_name":"Wallraff, Andreas","last_name":"Wallraff"},{"first_name":"Peter","full_name":"Domokos, Peter","last_name":"Domokos"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"Observation of the photon blockade breakdown phase transition","doi":"10.1103/PhysRevX.7.011012","pubrep_id":"753","scopus_import":"1","abstract":[{"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.","lang":"eng"}],"_id":"1114","status":"public","oa":1,"has_accepted_license":"1","department":[{"_id":"JoFi"}],"date_published":"2017-01-31T00:00:00Z","file":[{"date_created":"2018-12-12T10:12:52Z","relation":"main_file","file_name":"IST-2017-753-v1+1_PhysRevX.7.011012.pdf","file_size":1172926,"access_level":"open_access","date_updated":"2018-12-12T10:12:52Z","creator":"system","file_id":"4972","content_type":"application/pdf"}],"quality_controlled":"1","oa_version":"Published Version","publication":"Physical Review X","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"type":"journal_article","publication_status":"published","external_id":{"isi":["000397450500001"]},"article_number":"011012","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>","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>.","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>","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.","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).","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."},"language":[{"iso":"eng"}],"date_created":"2018-12-11T11:50:13Z","volume":7,"date_updated":"2025-07-10T11:50:07Z","ddc":["539"],"publisher":"American Physical Society","publication_identifier":{"issn":["2160-3308"]}}]