Entanglement complexity in quantum many-body dynamics, thermalization, and localization

Yang, Zhi-Cheng; Hamma, Alioscia; Giampaolo, Salvatore M.; Mucciolo, Eduardo R.; Chamon, Claudio

doi:10.1103/physrevb.96.020408

Entanglement complexity in quantum many-body dynamics, thermalization, and localization

Journal Article · Sat Jul 01 00:00:00 EDT 2017 · Physical Review B

DOI:https://doi.org/10.1103/physrevb.96.020408· OSTI ID:1535953

Yang, Zhi-Cheng ^[1]; Hamma, Alioscia; Giampaolo, Salvatore M.; Mucciolo, Eduardo R.; Chamon, Claudio

DOE/OSTI

Not provided.

Research Organization:: Boston Univ., MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: FG02-06ER46316

OSTI ID:: 1535953

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 2 Vol. 96; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

References (41)

Many-body localization and thermalization: Insights from the entanglement spectrum Geraedts, Scott D.; Nandkishore, Rahul; Regnault, Nicolas Physical Review B, Vol. 93, Issue 17 https://doi.org/10.1103/PhysRevB.93.174202	journal	May 2016
Topological Entanglement Entropy Kitaev, Alexei; Preskill, John Physical Review Letters, Vol. 96, Issue 11 https://doi.org/10.1103/PhysRevLett.96.110404	journal	March 2006
Open X X Z Spin Chain: Nonequilibrium Steady State and a Strict Bound on Ballistic Transport Prosen, Tomaž Physical Review Letters, Vol. 106, Issue 21 https://doi.org/10.1103/PhysRevLett.106.217206	journal	May 2011
Constructing local integrals of motion in the many-body localized phase Chandran, Anushya; Kim, Isaac H.; Vidal, Guifre Physical Review B, Vol. 91, Issue 8 https://doi.org/10.1103/PhysRevB.91.085425	journal	February 2015
Two soluble models of an antiferromagnetic chain Lieb, Elliott; Schultz, Theodore; Mattis, Daniel Annals of Physics, Vol. 16, Issue 3 https://doi.org/10.1016/0003-4916(61)90115-4	journal	December 1961
Evolution of entanglement entropy in one-dimensional systems Calabrese, Pasquale; Cardy, John Journal of Statistical Mechanics: Theory and Experiment, Vol. 2005, Issue 04 https://doi.org/10.1088/1742-5468/2005/04/P04010	journal	April 2005
Level Statistics of XXZ Spin Chains with Discrete Symmetries: Analysis through Finite-size Effects Kudo, Kazue; Deguchi, Tetsuo Journal of the Physical Society of Japan, Vol. 74, Issue 7 https://doi.org/10.1143/JPSJ.74.1992	journal	July 2005
Colloquium : Area laws for the entanglement entropy Eisert, J.; Cramer, M.; Plenio, M. B. Reviews of Modern Physics, Vol. 82, Issue 1 https://doi.org/10.1103/RevModPhys.82.277	journal	February 2010
Local Conservation Laws and the Structure of the Many-Body Localized States Serbyn, Maksym; Papić, Z.; Abanin, Dmitry A. Physical Review Letters, Vol. 111, Issue 12 https://doi.org/10.1103/PhysRevLett.111.127201	journal	September 2013
Local constants of motion imply information propagation Friesdorf, M.; Werner, A. H.; Goihl, M. New Journal of Physics, Vol. 17, Issue 11 https://doi.org/10.1088/1367-2630/17/11/113054	journal	November 2015
Localization of interacting fermions at high temperature Oganesyan, Vadim; Huse, David A. Physical Review B, Vol. 75, Issue 15 https://doi.org/10.1103/PhysRevB.75.155111	journal	April 2007
Many-Body Localization and Thermalization in Quantum Statistical Mechanics Nandkishore, Rahul; Huse, David A. Annual Review of Condensed Matter Physics, Vol. 6, Issue 1 https://doi.org/10.1146/annurev-conmatphys-031214-014726	journal	March 2015
Many-body localization in the Heisenberg X X Z magnet in a random field Žnidarič, Marko; Prosen, Tomaž; Prelovšek, Peter Physical Review B, Vol. 77, Issue 6 https://doi.org/10.1103/PhysRevB.77.064426	journal	February 2008
Exactly conserved quasilocal operators for the XXZ spin chain Pereira, R. G.; Pasquier, V.; Sirker, J. Journal of Statistical Mechanics: Theory and Experiment, Vol. 2014, Issue 9 https://doi.org/10.1088/1742-5468/2014/09/P09037	journal	September 2014
Irreversibility and entanglement spectrum statistics in quantum circuits Shaffer, Daniel; Chamon, Claudio; Hamma, Alioscia Journal of Statistical Mechanics: Theory and Experiment, Vol. 2014, Issue 12 https://doi.org/10.1088/1742-5468/2014/12/P12007	journal	December 2014
Measurement Protocol for the Entanglement Spectrum of Cold Atoms Pichler, Hannes; Zhu, Guanyu; Seif, Alireza Physical Review X, Vol. 6, Issue 4 https://doi.org/10.1103/PhysRevX.6.041033	journal	November 2016
Unbounded Growth of Entanglement in Models of Many-Body Localization Bardarson, Jens H.; Pollmann, Frank; Moore, Joel E. Physical Review Letters, Vol. 109, Issue 1 https://doi.org/10.1103/PhysRevLett.109.017202	journal	July 2012
Phenomenology of fully many-body-localized systems Huse, David A.; Nandkishore, Rahul; Oganesyan, Vadim Physical Review B, Vol. 90, Issue 17 https://doi.org/10.1103/PhysRevB.90.174202	journal	November 2014
Many-body localization phase transition Pal, Arijeet; Huse, David A. Physical Review B, Vol. 82, Issue 17 https://doi.org/10.1103/PhysRevB.82.174411	journal	November 2010
Topological and nematic ordered phases in many-body cluster-Ising models Giampaolo, S. M.; Hiesmayr, B. C. Physical Review A, Vol. 92, Issue 1 https://doi.org/10.1103/PhysRevA.92.012306	journal	July 2015
Statistical Mechanics of the XY Model. I Barouch, Eytan; McCoy, Barry M.; Dresden, Max Physical Review A, Vol. 2, Issue 3 https://doi.org/10.1103/PhysRevA.2.1075	journal	September 1970
Universal Slow Growth of Entanglement in Interacting Strongly Disordered Systems Serbyn, Maksym; Papić, Z.; Abanin, Dmitry A. Physical Review Letters, Vol. 110, Issue 26 https://doi.org/10.1103/PhysRevLett.110.260601	journal	June 2013
Quantum chaos in spin-fermion models Montambaux, Gilles; Poilblanc, Didier; Bellissard, Jean Physical Review Letters, Vol. 70, Issue 4 https://doi.org/10.1103/PhysRevLett.70.497	journal	January 1993
Level Clustering in the Regular Spectrum Berry, M. V.; Tabor, M. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 356, Issue 1686 https://doi.org/10.1098/rspa.1977.0140	journal	September 1977
Emergent Irreversibility and Entanglement Spectrum Statistics Chamon, Claudio; Hamma, Alioscia; Mucciolo, Eduardo R. Physical Review Letters, Vol. 112, Issue 24 https://doi.org/10.1103/PhysRevLett.112.240501	journal	June 2014
Entanglement and the foundations of statistical mechanics Popescu, Sandu; Short, Anthony J.; Winter, Andreas Nature Physics, Vol. 2, Issue 11 https://doi.org/10.1038/nphys444	journal	October 2006
Thermalization and its mechanism for generic isolated quantum systems Rigol, Marcos; Dunjko, Vanja; Olshanii, Maxim Nature, Vol. 452, Issue 7189 https://doi.org/10.1038/nature06838	journal	April 2008
Entanglement is not enough: Entanglement is not enough Susskind, Leonard Fortschritte der Physik, Vol. 64, Issue 1 https://doi.org/10.1002/prop.201500095	journal	January 2016
Detecting Topological Order in a Ground State Wave Function Levin, Michael; Wen, Xiao-Gang Physical Review Letters, Vol. 96, Issue 11 https://doi.org/10.1103/PhysRevLett.96.110405	journal	March 2006
Quantum statistical mechanics in a closed system Deutsch, J. M. Physical Review A, Vol. 43, Issue 4 https://doi.org/10.1103/PhysRevA.43.2046	journal	February 1991
Statistical Mechanics of the X Y Model. II. Spin-Correlation Functions Barouch, Eytan; McCoy, Barry M. Physical Review A, Vol. 3, Issue 2 https://doi.org/10.1103/PhysRevA.3.786	journal	February 1971
Typicality for Generalized Microcanonical Ensembles Reimann, Peter Physical Review Letters, Vol. 99, Issue 16 https://doi.org/10.1103/PhysRevLett.99.160404	journal	October 2007
Power-Law Entanglement Spectrum in Many-Body Localized Phases Serbyn, Maksym; Michailidis, Alexios A.; Abanin, Dmitry A. Physical Review Letters, Vol. 117, Issue 16 https://doi.org/10.1103/PhysRevLett.117.160601	journal	October 2016
Ground state entanglement and geometric entropy in the Kitaev model Hamma, Alioscia; Ionicioiu, Radu; Zanardi, Paolo Physics Letters A, Vol. 337, Issue 1-2 https://doi.org/10.1016/j.physleta.2005.01.060	journal	March 2005
Explicit Local Integrals of Motion for the Many-Body Localized State Rademaker, Louk; Ortuño, Miguel Physical Review Letters, Vol. 116, Issue 1 https://doi.org/10.1103/PhysRevLett.116.010404	journal	January 2016
Chaos and quantum thermalization Srednicki, Mark Physical Review E, Vol. 50, Issue 2 https://doi.org/10.1103/PhysRevE.50.888	journal	August 1994
Distribution of the Ratio of Consecutive Level Spacings in Random Matrix Ensembles Atas, Y. Y.; Bogomolny, E.; Giraud, O. Physical Review Letters, Vol. 110, Issue 8 https://doi.org/10.1103/PhysRevLett.110.084101	journal	February 2013
Canonical Typicality Goldstein, Sheldon; Lebowitz, Joel L.; Tumulka, Roderich Physical Review Letters, Vol. 96, Issue 5 https://doi.org/10.1103/PhysRevLett.96.050403	journal	February 2006
Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States Li, Hui; Haldane, F. D. M. Physical Review Letters, Vol. 101, Issue 1 https://doi.org/10.1103/PhysRevLett.101.010504	journal	July 2008
Two-Component Structure in the Entanglement Spectrum of Highly Excited States Yang, Zhi-Cheng; Chamon, Claudio; Hamma, Alioscia Physical Review Letters, Vol. 115, Issue 26 https://doi.org/10.1103/PhysRevLett.115.267206	journal	December 2015
Anderson transitions Evers, Ferdinand; Mirlin, Alexander D. Reviews of Modern Physics, Vol. 80, Issue 4 https://doi.org/10.1103/RevModPhys.80.1355	journal	October 2008

Similar Records

Entanglement complexity in quantum many-body dynamics, thermalization, and localization

Journal Article · Tue Jul 18 00:00:00 EDT 2017 · Physical Review B · OSTI ID:1371799

Many-body localization and thermalization: Insights from the entanglement spectrum

Journal Article · Wed May 18 00:00:00 EDT 2016 · Physical Review B · OSTI ID:1253671

Dynamics of quantum information in many-body localized systems

Journal Article · Fri Nov 03 00:00:00 EDT 2017 · Physical Review B · OSTI ID:1408167

Related Subjects

Materials Science
Physics

Entanglement complexity in quantum many-body dynamics, thermalization, and localization

Citation Formats

References (41)

Similar Records

Related Subjects