Einstein Relation for a Driven Disordered Quantum Chain in the Subdiffusive Regime

Mierzejewski, M.; Prelovšek, P.; Bonča, J.

doi:10.1103/PhysRevLett.122.206601

Title: Einstein Relation for a Driven Disordered Quantum Chain in the Subdiffusive Regime

Journal Article · 23 May 2019 · Physical Review Letters

DOI: https://doi.org/10.1103/PhysRevLett.122.206601 · OSTI ID:1515606

Mierzejewski, M.; Prelovšek, P.; Bonča, J.

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Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI ID:: 1515606

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 20 Vol. 122; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (72)

Spin-charge separation and many-body localization Zakrzewski, Jakub; Delande, Dominique Physical Review B, Vol. 98, Issue 1 https://doi.org/10.1103/PhysRevB.98.014203	journal	July 2018
Anomalous Thermalization in Ergodic Systems Luitz, David J.; Bar Lev, Yevgeny Physical Review Letters, Vol. 117, Issue 17 https://doi.org/10.1103/PhysRevLett.117.170404	journal	October 2016
Dynamical conductivity and its fluctuations along the crossover to many-body localization Barišić, Osor S.; Kokalj, Jure; Balog, Ivan Physical Review B, Vol. 94, Issue 4 https://doi.org/10.1103/PhysRevB.94.045126	journal	July 2016
Anomalous Diffusion and Griffiths Effects Near the Many-Body Localization Transition Agarwal, Kartiek; Gopalakrishnan, Sarang; Knap, Michael Physical Review Letters, Vol. 114, Issue 16 https://doi.org/10.1103/PhysRevLett.114.160401	journal	April 2015
Distinctive response of many-body localized systems to a strong electric field Kozarzewski, Maciej; Prelovšek, Peter; Mierzejewski, Marcin Physical Review B, Vol. 93, Issue 23 https://doi.org/10.1103/PhysRevB.93.235151	journal	June 2016
Coupling Identical one-dimensional Many-Body Localized Systems Bordia, Pranjal; Lüschen, Henrik P.; Hodgman, Sean S. Physical Review Letters, Vol. 116, Issue 14 https://doi.org/10.1103/PhysRevLett.116.140401	journal	April 2016
Quantum revivals and many-body localization Vasseur, R.; Parameswaran, S. A.; Moore, J. E. Physical Review B, Vol. 91, Issue 14 https://doi.org/10.1103/PhysRevB.91.140202	journal	April 2015
Local Spin Relaxation within the Random Heisenberg Chain Herbrych, J.; Kokalj, J.; Prelovšek, P. Physical Review Letters, Vol. 111, Issue 14 https://doi.org/10.1103/PhysRevLett.111.147203	journal	October 2013
Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications Bouchaud, Jean-Philippe; Georges, Antoine Physics Reports, Vol. 195, Issue 4-5 https://doi.org/10.1016/0370-1573(90)90099-N	journal	November 1990
Hilbert-Glass Transition: New Universality of Temperature-Tuned Many-Body Dynamical Quantum Criticality Pekker, David; Refael, Gil; Altman, Ehud Physical Review X, Vol. 4, Issue 1 https://doi.org/10.1103/PhysRevX.4.011052	journal	March 2014
Delocalized carriers in the t − J model with strong charge disorder Bonča, Janez; Mierzejewski, Marcin Physical Review B, Vol. 95, Issue 21 https://doi.org/10.1103/PhysRevB.95.214201	journal	June 2017
Many-Body Localization in Periodically Driven Systems Ponte, Pedro; Papić, Z.; Huveneers, François Physical Review Letters, Vol. 114, Issue 14 https://doi.org/10.1103/PhysRevLett.114.140401	journal	April 2015
Typicality approach to the optical conductivity in thermal and many-body localized phases Steinigeweg, Robin; Herbrych, Jacek; Pollmann, Frank Physical Review B, Vol. 94, Issue 18 https://doi.org/10.1103/PhysRevB.94.180401	journal	November 2016
Absence of full many-body localization in the disordered Hubbard chain Prelovšek, P.; Barišić, O. S.; Žnidarič, M. Physical Review B, Vol. 94, Issue 24 https://doi.org/10.1103/PhysRevB.94.241104	journal	December 2016
Purification and Many-Body Localization in Cold Atomic Gases Andraschko, Felix; Enss, Tilman; Sirker, Jesko Physical Review Letters, Vol. 113, Issue 21 https://doi.org/10.1103/PhysRevLett.113.217201	journal	November 2014
Universal dynamics of density correlations at the transition to the many-body localized state Mierzejewski, M.; Herbrych, J.; Prelovšek, P. Physical Review B, Vol. 94, Issue 22 https://doi.org/10.1103/PhysRevB.94.224207	journal	December 2016
Time-Correlation Functions and Transport Coefficients in Statistical Mechanics Zwanzig, R. Annual Review of Physical Chemistry, Vol. 16, Issue 1 https://doi.org/10.1146/annurev.pc.16.100165.000435	journal	October 1965
Disorder-Driven Metal-Insulator Transitions in Deformable Lattices Di Sante, Domenico; Fratini, Simone; Dobrosavljević, Vladimir Physical Review Letters, Vol. 118, Issue 3 https://doi.org/10.1103/PhysRevLett.118.036602	journal	January 2017
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 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
Probing Slow Relaxation and Many-Body Localization in Two-Dimensional Quasiperiodic Systems Bordia, Pranjal; Lüschen, Henrik; Scherg, Sebastian Physical Review X, Vol. 7, Issue 4 https://doi.org/10.1103/PhysRevX.7.041047	journal	November 2017
Noise-Induced Subdiffusion in Strongly Localized Quantum Systems Gopalakrishnan, Sarang; Islam, K. Ranjibul; Knap, Michael Physical Review Letters, Vol. 119, Issue 4 https://doi.org/10.1103/PhysRevLett.119.046601	journal	July 2017
Configuration-controlled many-body localization and the mobility emulsion Schecter, Michael; Iadecola, Thomas; Das Sarma, Sankar Physical Review B, Vol. 98, Issue 17 https://doi.org/10.1103/PhysRevB.98.174201	journal	November 2018
Diagonalization and Many-Body Localization for a Disordered Quantum Spin Chain Imbrie, John Z. Physical Review Letters, Vol. 117, Issue 2 https://doi.org/10.1103/PhysRevLett.117.027201	journal	July 2016
Interactions and the Anderson transition Fleishman, L.; Anderson, P. W. Physical Review B, Vol. 21, Issue 6 https://doi.org/10.1103/PhysRevB.21.2366	journal	March 1980
Many-body localization and thermalization in disordered Hubbard chains Mondaini, Rubem; Rigol, Marcos Physical Review A, Vol. 92, Issue 4 https://doi.org/10.1103/PhysRevA.92.041601	journal	October 2015
Many-Body Localization in a Disordered Quantum Ising Chain Kjäll, Jonas A.; Bardarson, Jens H.; Pollmann, Frank Physical Review Letters, Vol. 113, Issue 10 https://doi.org/10.1103/PhysRevLett.113.107204	journal	September 2014
Disordered electronic systems Lee, Patrick A.; Ramakrishnan, T. V. Reviews of Modern Physics, Vol. 57, Issue 2 https://doi.org/10.1103/RevModPhys.57.287	journal	April 1985
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
Many-body localization edge in the random-field Heisenberg chain Luitz, David J.; Laflorencie, Nicolas; Alet, Fabien Physical Review B, Vol. 91, Issue 8 https://doi.org/10.1103/PhysRevB.91.081103	journal	February 2015
Density dynamics from current auto-correlations at finite time- and length-scales Steinigeweg, R.; Wichterich, H.; Gemmer, J. EPL (Europhysics Letters), Vol. 88, Issue 1 https://doi.org/10.1209/0295-5075/88/10004	journal	October 2009
Dynamics at the many-body localization transition Torres-Herrera, E. J.; Santos, Lea F. Physical Review B, Vol. 92, Issue 1 https://doi.org/10.1103/PhysRevB.92.014208	journal	July 2015
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 in a quantum simulator with programmable random disorder Smith, J.; Lee, A.; Richerme, P. Nature Physics, Vol. 12, Issue 10 https://doi.org/10.1038/nphys3783	journal	June 2016
Quantum quenches in the many-body localized phase Serbyn, Maksym; Papić, Z.; Abanin, D. A. Physical Review B, Vol. 90, Issue 17 https://doi.org/10.1103/PhysRevB.90.174302	journal	November 2014
Transient and persistent particle subdiffusion in a disordered chain coupled to bosons Prelovšek, P.; Bonča, J.; Mierzejewski, M. Physical Review B, Vol. 98, Issue 12 https://doi.org/10.1103/PhysRevB.98.125119	journal	September 2018
Many-body localization due to random interactions Sierant, Piotr; Delande, Dominique; Zakrzewski, Jakub Physical Review A, Vol. 95, Issue 2 https://doi.org/10.1103/PhysRevA.95.021601	journal	February 2017
Localization and transport in a strongly driven Anderson insulator Agarwal, Kartiek; Ganeshan, Sriram; Bhatt, R. N. Physical Review B, Vol. 96, Issue 1 https://doi.org/10.1103/PhysRevB.96.014201	journal	July 2017
Nonlinear response of Bloch electrons in infinite dimensions Turkowski, V.; Freericks, J. K. Physical Review B, Vol. 71, Issue 8 https://doi.org/10.1103/PhysRevB.71.085104	journal	February 2005
Many-body localization transition in a lattice model of interacting fermions: Statistics of renormalized hoppings in configuration space Monthus, Cécile; Garel, Thomas Physical Review B, Vol. 81, Issue 13 https://doi.org/10.1103/PhysRevB.81.134202	journal	April 2010
Conduction in glasses containing transition metal ions Mott, N. F. Journal of Non-Crystalline Solids, Vol. 1, Issue 1 https://doi.org/10.1016/0022-3093(68)90002-1	journal	December 1968
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
Diffusive and Subdiffusive Spin Transport in the Ergodic Phase of a Many-Body Localizable System Žnidarič, Marko; Scardicchio, Antonello; Varma, Vipin Kerala Physical Review Letters, Vol. 117, Issue 4 https://doi.org/10.1103/PhysRevLett.117.040601	journal	July 2016
Observation of Slow Dynamics near the Many-Body Localization Transition in One-Dimensional Quasiperiodic Systems Lüschen, Henrik P.; Bordia, Pranjal; Scherg, Sebastian Physical Review Letters, Vol. 119, Issue 26 https://doi.org/10.1103/PhysRevLett.119.260401	journal	December 2017
Universal Dynamics and Renormalization in Many-Body-Localized Systems Altman, Ehud; Vosk, Ronen Annual Review of Condensed Matter Physics, Vol. 6, Issue 1 https://doi.org/10.1146/annurev-conmatphys-031214-014701	journal	March 2015
The ergodic side of the many-body localization transition: The ergodic side of the many-body localization transition Luitz, David J.; Lev, Yevgeny Bar Annalen der Physik, Vol. 529, Issue 7 https://doi.org/10.1002/andp.201600350	journal	May 2017
Absence of Diffusion in Certain Random Lattices Anderson, P. W. Physical Review, Vol. 109, Issue 5 https://doi.org/10.1103/PhysRev.109.1492	journal	March 1958
Low-frequency conductivity in many-body localized systems Gopalakrishnan, Sarang; Müller, Markus; Khemani, Vedika Physical Review B, Vol. 92, Issue 10 https://doi.org/10.1103/PhysRevB.92.104202	journal	September 2015
Rare-region effects and dynamics near the many-body localization transition: Rare-region effects and dynamics near the many-body localization transition Agarwal, Kartiek; Altman, Ehud; Demler, Eugene Annalen der Physik, Vol. 529, Issue 7 https://doi.org/10.1002/andp.201600326	journal	January 2017
Spin Subdiffusion in the Disordered Hubbard Chain Kozarzewski, Maciej; Prelovšek, Peter; Mierzejewski, Marcin Physical Review Letters, Vol. 120, Issue 24 https://doi.org/10.1103/PhysRevLett.120.246602	journal	June 2018
Observation of many-body localization of interacting fermions in a quasirandom optical lattice Schreiber, M.; Hodgman, S. S.; Bordia, P. Science, Vol. 349, Issue 6250 https://doi.org/10.1126/science.aaa7432	journal	July 2015
Many-body localization in spin chain systems with quasiperiodic fields Lee, Mac; Look, Thomas R.; Lim, S. P. Physical Review B, Vol. 96, Issue 7 https://doi.org/10.1103/PhysRevB.96.075146	journal	August 2017
Inevitable power-law behavior of isolated many-body quantum systems and how it anticipates thermalization Távora, Marco; Torres-Herrera, E. J.; Santos, Lea F. Physical Review A, Vol. 94, Issue 4 https://doi.org/10.1103/PhysRevA.94.041603	journal	October 2016
Absence of Diffusion in an Interacting System of Spinless Fermions on a One-Dimensional Disordered Lattice Bar Lev, Yevgeny; Cohen, Guy; Reichman, David R. Physical Review Letters, Vol. 114, Issue 10 https://doi.org/10.1103/PhysRevLett.114.100601	journal	March 2015
Spin-mediated particle transport in the disordered Hubbard model Protopopov, Ivan V.; Abanin, Dmitry A. Physical Review B, Vol. 99, Issue 11 https://doi.org/10.1103/PhysRevB.99.115111	journal	March 2019
Unitary quantum time evolution by iterative Lanczos reduction Park, Tae Jun; Light, J. C. The Journal of Chemical Physics, Vol. 85, Issue 10 https://doi.org/10.1063/1.451548	journal	November 1986
Many-Body Mobility Edge in a Mean-Field Quantum Spin Glass Laumann, C. R.; Pal, A.; Scardicchio, A. Physical Review Letters, Vol. 113, Issue 20 https://doi.org/10.1103/PhysRevLett.113.200405	journal	November 2014
Fate of Many-Body Localization Under Periodic Driving Lazarides, Achilleas; Das, Arnab; Moessner, Roderich Physical Review Letters, Vol. 115, Issue 3 https://doi.org/10.1103/PhysRevLett.115.030402	journal	July 2015
Self-consistent approach to many-body localization and subdiffusion Prelovšek, P.; Herbrych, J. Physical Review B, Vol. 96, Issue 3 https://doi.org/10.1103/PhysRevB.96.035130	journal	July 2017
Extended slow dynamical regime close to the many-body localization transition Luitz, David J.; Laflorencie, Nicolas; Alet, Fabien Physical Review B, Vol. 93, Issue 6 https://doi.org/10.1103/PhysRevB.93.060201	journal	February 2016
Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states Basko, D. M.; Aleiner, I. L.; Altshuler, B. L. Annals of Physics, Vol. 321, Issue 5 https://doi.org/10.1016/j.aop.2005.11.014	journal	May 2006
Periodically driving a many-body localized quantum system Bordia, Pranjal; Lüschen, Henrik; Schneider, Ulrich Nature Physics, Vol. 13, Issue 5 https://doi.org/10.1038/nphys4020	journal	January 2017
Many-Body Localization Characterized from a One-Particle Perspective Bera, Soumya; Schomerus, Henning; Heidrich-Meisner, Fabian Physical Review Letters, Vol. 115, Issue 4 https://doi.org/10.1103/PhysRevLett.115.046603	journal	July 2015
Transport in quasiperiodic interacting systems: From superdiffusion to subdiffusion Bar Lev, Yevgeny; Kennes, Dante M.; Klöckner, Christian EPL (Europhysics Letters), Vol. 119, Issue 3 https://doi.org/10.1209/0295-5075/119/37003	journal	August 2017
Dynamics of many-body localization Bar Lev, Yevgeny; Reichman, David R. Physical Review B, Vol. 89, Issue 22 https://doi.org/10.1103/PhysRevB.89.220201	journal	June 2014
Phonon-assisted transition rates I. Optical-phonon-assisted hopping in solids Emin, David Advances in Physics, Vol. 24, Issue 3 https://doi.org/10.1080/00018737500101411	journal	May 1975
Periodically driven ergodic and many-body localized quantum systems Ponte, Pedro; Chandran, Anushya; Papić, Z. Annals of Physics, Vol. 353 https://doi.org/10.1016/j.aop.2014.11.008	journal	February 2015
Domain-wall melting as a probe of many-body localization Hauschild, Johannes; Heidrich-Meisner, Fabian; Pollmann, Frank Physical Review B, Vol. 94, Issue 16 https://doi.org/10.1103/PhysRevB.94.161109	journal	October 2016
Criterion for Many-Body Localization-Delocalization Phase Transition Serbyn, Maksym; Papić, Z.; Abanin, Dmitry A. Physical Review X, Vol. 5, Issue 4 https://doi.org/10.1103/PhysRevX.5.041047	journal	December 2015
Dynamics of the one-dimensional Anderson insulator coupled to various bosonic baths Bonča, Janez; Trugman, Stuart A.; Mierzejewski, Marcin Physical Review B, Vol. 97, Issue 17 https://doi.org/10.1103/PhysRevB.97.174202	journal	May 2018
Exploring the many-body localization transition in two dimensions Choi, J. -y.; Hild, S.; Zeiher, J. Science, Vol. 352, Issue 6293 https://doi.org/10.1126/science.aaf8834	journal	June 2016
Disorder-Induced Localization in a Strongly Correlated Atomic Hubbard Gas Kondov, S. S.; McGehee, W. R.; Xu, W. Physical Review Letters, Vol. 114, Issue 8 https://doi.org/10.1103/PhysRevLett.114.083002	journal	February 2015

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