Time-crystalline eigenstate order on a quantum processor.

Cold Temperature Phase Transition Thermodynamics

Journal

Nature

ISSN: 1476-4687

Titre abrégé: Nature

Pays: England

ID NLM: 0410462

Informations de publication

Date de publication:
01 2022

Historique:

received: 30 07 2021

accepted: 17 11 2021

pubmed: 1 12 2021

medline: 16 4 2022

entrez: 30 11 2021

Statut: ppublish

Résumé

Quantum many-body systems display rich phase structure in their low-temperature equilibrium states

Identifiants

DOI: 10.1038/s41586-021-04257-w PMID: 34847568 PMC: PMC8791837

pubmed: 34847568

doi: 10.1038/s41586-021-04257-w

pii: 10.1038/s41586-021-04257-w

pmc: PMC8791837

doi:

Types de publication

Journal Article Research Support, Non-U.S. Gov't Research Support, U.S. Gov't, Non-P.H.S.

Langues

eng

Sous-ensembles de citation

Pagination

531-536

Subventions

Organisme : United States Department of Defense | Defense Advanced Research Projects Agency (DARPA)

ID : DRINQS

Organisme : Google

ID : Google Research Award

Organisme : Alfred P. Sloan Foundation

ID : a Sloan Research Fellowship

Informations de copyright

Références

Wen, X.-G. Quantum Field Theory of Many-Body Systems: From the Origin of Sound to an Origin of Light and Electrons (Oxford Univ. Press, 2007).

Bukov, M., D’Alessio, L. & Polkovnikov, A. Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering. Adv. Phys. 64, 139–226 (2015).

doi: 10.1080/00018732.2015.1055918

Harper, F., Roy, R., Rudner, M. S. & Sondhi, S. Topology and broken symmetry in Floquet systems. Annu. Rev. Condens. Matter Phys. 11, 345–368 (2020).

doi: 10.1146/annurev-conmatphys-031218-013721

Oka, T. & Aoki, H. Photovoltaic Hall effect in graphene. Phys. Rev. B 79, 081406 (2009).

doi: 10.1103/PhysRevB.79.081406

Rudner, M. S., Lindner, N. H., Berg, E. & Levin, M. Anomalous edge states and the bulk-edge correspondence for periodically driven two-dimensional systems. Phys. Rev. X 3, 031005 (2013).

Titum, P., Berg, E., Rudner, M. S., Refael, G. & Lindner, N. H. Anomalous Floquet–Anderson insulator as a nonadiabatic quantized charge pump. Phys. Rev. X 6, 021013 (2016).

Khemani, V., Lazarides, A., Moessner, R. & Sondhi, S. Phase structure of driven quantum systems. Phys. Rev. Lett. 116, 250401 (2016).

doi: 10.1103/PhysRevLett.116.250401

Po, H. C., Fidkowski, L., Morimoto, T., Potter, A. C. & Vishwanath, A. Chiral Floquet phases of many-body localized bosons. Phys. Rev. X 6, 041070 (2016).

Else, D. V., Bauer, B. & Nayak, C. Floquet time crystals. Phys. Rev. Lett. 117, 090402 (2016).

doi: 10.1103/PhysRevLett.117.090402

von Keyserlingk, C. W., Khemani, V. & Sondhi, S. L. Absolute stability and spatiotemporal long-range order in Floquet systems. Phys. Rev. B 94, 085112 (2016).

doi: 10.1103/PhysRevB.94.085112

Sacha, K. & Zakrzewski, J. Time crystals: a review. Rep. Prog. Phys. 81, 016401 (2017).

doi: 10.1088/1361-6633/aa8b38

Khemani, V., Moessner, R. & Sondhi, S. A brief history of time crystals. Preprint at https://arxiv.org/abs/1910.10745 (2019).

Wilczek, F. Quantum time crystals. Phys. Rev. Lett. 109, 160401 (2012).

doi: 10.1103/PhysRevLett.109.160401

Bruno, P. Impossibility of spontaneously rotating time crystals: a no-go theorem. Phys. Rev. Lett. 111, 070402 (2013).

doi: 10.1103/PhysRevLett.111.070402

Watanabe, H. & Oshikawa, M. Absence of quantum time crystals. Phys. Rev. Lett. 114, 251603 (2015).

doi: 10.1103/PhysRevLett.114.251603

Huse, D. A., Nandkishore, R., Oganesyan, V., Pal, A. & Sondhi, S. L. Localization-protected quantum order. Phys. Rev. B 88, 014206 (2013).

doi: 10.1103/PhysRevB.88.014206

Pekker, D., Refael, G., Altman, E., Demler, E. & Oganesyan, V. Hilbert-glass transition: new universality of temperature-tuned many-body dynamical quantum criticality. Phys. Rev. X 4, 011052 (2014).

Basko, D., Aleiner, I. & Altshuler, B. Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states. Ann. Phys. 321, 1126–1205 (2006).

doi: 10.1016/j.aop.2005.11.014

Nandkishore, R. & Huse, D. A. Many-body localization and thermalization in quantum statistical mechanics. Annu. Rev. Condens. Matter Phys. 6, 15–38 (2015).

doi: 10.1146/annurev-conmatphys-031214-014726

Abanin, D. A., Altman, E., Bloch, I. & Serbyn, M. Colloquium: Many-body localization, thermalization, and entanglement. Rev. Mod. Phys. 91, 021001 (2019).

doi: 10.1103/RevModPhys.91.021001

Ponte, P., Papić, Z., Huveneers, F. M. C. & Abanin, D. A. Many-body localization in periodically driven systems. Phys. Rev. Lett. 114, 140401 (2015).

doi: 10.1103/PhysRevLett.114.140401

Lazarides, A., Das, A. & Moessner, R. Fate of many-body localization under periodic driving. Phys. Rev. Lett. 115, 030402 (2015).

doi: 10.1103/PhysRevLett.115.030402

Bordia, P., Luschen, H., Schneider, U., Knap, M. & Bloch, I. Periodically driving a many-body localized quantum system. Nat. Phys. 13, 460–464 (2017).

doi: 10.1038/nphys4020

Faraday, M. On a peculiar class of acoustical figures; and on certain forms assumed by groups of particles upon vibrating elastic surfaces. Phil. Trans. R. Soc. 121, 299–340 (1831).

doi: 10.1098/rstl.1831.0018

Zhang, J. et al. Observation of a discrete time crystal. Nature 543, 217–220 (2017).

doi: 10.1038/nature21413

Choi, S. et al. Observation of discrete time-crystalline order in a disordered dipolar many-body system. Nature 543, 221–225 (2017).

doi: 10.1038/nature21426

Rovny, J., Blum, R. L. & Barrett, S. E. Observation of discrete-time-crystal signatures in an ordered dipolar many-body system. Phys. Rev. Lett. 120, 180603 (2018).

doi: 10.1103/PhysRevLett.120.180603

Pal, S., Nishad, N., Mahesh, T. S. & Sreejith, G. J. Temporal order in periodically driven spins in star-shaped clusters. Phys. Rev. Lett. 120, 180602 (2018).

doi: 10.1103/PhysRevLett.120.180602

Ippoliti, M., Kechedzhi, K., Moessner, R., Sondhi, S. & Khemani, V. Many-body physics in the NISQ era: quantum programming a discrete time crystal. PRX Quantum 2, 030346 (2021).

doi: 10.1103/PRXQuantum.2.030346

Ho, W. W., Choi, S., Lukin, M. D. & Abanin, D. A. Critical time crystals in dipolar systems. Phys. Rev. Lett. 119, 010602 (2017).

doi: 10.1103/PhysRevLett.119.010602

Else, D., Bauer, B. & Nayak, C. Prethermal phases of matter protected by time-translation symmetry. Phys. Rev. X 7, 011026 (2017).

Luitz, D. J., Moessner, R., Sondhi, S. L. & Khemani, V. Prethermalization without temperature. Phys. Rev. X 10, 021046 (2020).

Randall, J. et al. Many-body-localized discrete time crystal with a programmable spin-based quantum simulator. Science 374, 1474–1478 (2021).

Mi, X. et al. Information scrambling in quantum circuits. Science 374, 1479–1483 (2021).

Abanin, D. A., De Roeck, W., Ho, W. W. & Huveneers, F. Effective Hamiltonians, prethermalization, and slow energy absorption in periodically driven many-body systems. Phys. Rev. B 95, 014112 (2017).

doi: 10.1103/PhysRevB.95.014112

Mori, T., Ikeda, T. N., Kaminishi, E. & Ueda, M. Thermalization and prethermalization in isolated quantum systems: a theoretical overview. J. Phys. B 51, 112001 (2018).

doi: 10.1088/1361-6455/aabcdf

Popescu, S., Short, A. J. & Winter, A. Entanglement and the foundations of statistical mechanics. Nat. Phys. 2, 754–758 (2006).

doi: 10.1038/nphys444

Goldstein, S., Lebowitz, J. L., Tumulka, R. & Zanghì, N. Canonical typicality. Phys. Rev. Lett. 96, 050403 (2006).

doi: 10.1103/PhysRevLett.96.050403

Richter, J. & Pal, A. Simulating hydrodynamics on noisy intermediate-scale quantum devices with random circuits. Phys. Rev. Lett. 126, 230501 (2021).

doi: 10.1103/PhysRevLett.126.230501

Arute, F. et al. Quantum supremacy using a programmable superconducting processor. Nature 574, 505–510 (2019).

doi: 10.1038/s41586-019-1666-5

Edwards, S. F. & Anderson, P. W. Theory of spin glasses. J. Phys. F 5, 965–974 (1975).

doi: 10.1088/0305-4608/5/5/017

Kjäll, J. A., Bardarson, J. H. & Pollmann, F. Many-body localization in a disordered quantum Ising chain. Phys. Rev. Lett. 113, 107204 (2014).

doi: 10.1103/PhysRevLett.113.107204

Pal, A. & Huse, D. A. Many-body localization phase transition. Phys. Rev. B 82, 174411 (2010).

doi: 10.1103/PhysRevB.82.174411

Abanin, D. et al. Distinguishing localization from chaos: challenges in finite-size systems. Ann. Phys. 427, 168415 (2021).

doi: 10.1016/j.aop.2021.168415

Yates, D. J., Abanov, A. G. & Mitra, A. Long-lived π edge modes of interacting and disorder-free Floquet spin chains. Preprint at https://arxiv.org/abs/2105.13766 (2021).