Dephasing enhanced spin transport in the ergodic phase of a many‐body localizable system

Žnidarič, Marko; Mendoza‐Arenas, Juan Jose; Clark, Stephen R.; Goold, John

doi:10.1002/andp.201600298

Title: Dephasing enhanced spin transport in the ergodic phase of a many‐body localizable system

Journal Article · Tue Dec 13 00:00:00 EST 2016 · Annalen der Physik (Leipzig)

DOI:https://doi.org/10.1002/andp.201600298· OSTI ID:1401256

Žnidarič, Marko ^[1]; Mendoza‐Arenas, Juan Jose ^[2]; Clark, Stephen R. ^[3]; Goold, John ^[4]

Physics Department Faculty of Mathematics and Physics University of Ljubljana 1000 Ljubljana Slovenia
Departamento de Física Universidad de los Andes A.A. 4976 Bogotá D. C. Colombia, Clarendon Laboratory University of Oxford Parks Road, Oxford OX1 3PU United Kingdom
Department of Physics University of Bath Claverton Down, Bath BA2 7AY United Kingdom, Max Planck Institute for the Structure and Dynamics of Matter University of Hamburg CFEL Hamburg Germany
The Abdus Salam ICTP Strada Costiera 11 34151 Trieste Italy

We study high temperature spin transport in a disordered Heisenberg chain in the ergodic regime when bulk dephasing is present. We find that while dephasing always renders the transport diffusive, there is nonetheless a remnant of the diffusive to sub‐diffusive transition found in a system without dephasing manifested in the behaviour of the diffusion constant with the dephasing strength. By studying finite‐size effects we show numerically and theoretically that this feature is caused by the competition between large crossover length scales associated to disorder and dephasing that control the dynamics observed in the thermodynamic limit. We demonstrate that this competition may lead to a dephasing enhanced transport in this model. image

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Sponsoring Organization:: USDOE

OSTI ID:: 1401256

Journal Information:: Annalen der Physik (Leipzig), Journal Name: Annalen der Physik (Leipzig) Vol. 529 Journal Issue: 7; ISSN 0003-3804

Publisher:: Wiley Blackwell (John Wiley & Sons)Copyright Statement

Country of Publication:: Germany

Language:: English

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Cited by: 26 works

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References (54)

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
Localization-protected quantum order Huse, David A.; Nandkishore, Rahul; Oganesyan, Vadim Physical Review B, Vol. 88, Issue 1 https://doi.org/10.1103/PhysRevB.88.014206	journal	July 2013
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
Exact Matrix Product Solution for the Boundary-Driven Lindblad $X X Z$ Chain Karevski, D.; Popkov, V.; Schütz, G. M. Physical Review Letters, Vol. 110, Issue 4 https://doi.org/10.1103/PhysRevLett.110.047201	journal	January 2013
On Many-Body Localization for Quantum Spin Chains Imbrie, John Z. Journal of Statistical Physics, Vol. 163, Issue 5 https://doi.org/10.1007/s10955-016-1508-x	journal	April 2016
Many-Body Localization in Imperfectly Isolated Quantum Systems Johri, Sonika; Nandkishore, Rahul; Bhatt, R. N. Physical Review Letters, Vol. 114, Issue 11 https://doi.org/10.1103/PhysRevLett.114.117401	journal	March 2015
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
Spin Transport in a One-Dimensional Anisotropic Heisenberg Model Žnidarič, Marko Physical Review Letters, Vol. 106, Issue 22 https://doi.org/10.1103/PhysRevLett.106.220601	journal	May 2011
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
Spectral features of a many-body-localized system weakly coupled to a bath Nandkishore, Rahul; Gopalakrishnan, Sarang; Huse, David A. Physical Review B, Vol. 90, Issue 6 https://doi.org/10.1103/PhysRevB.90.064203	journal	August 2014
Superfluidity with disorder in a thin film of quantum gas Krinner, Sebastian; Stadler, David; Meineke, Jakob Physical Review Letters, Vol. 110, Issue 10 https://doi.org/10.1103/PhysRevLett.110.100601	journal	March 2013
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
Transport in a disordered tight-binding chain with dephasing Žnidarič, Marko; Horvat, Martin The European Physical Journal B, Vol. 86, Issue 2 https://doi.org/10.1140/epjb/e2012-30730-9	journal	February 2013
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
Observation of Subdiffusion in a Disordered Interacting System Lucioni, E.; Deissler, B.; Tanzi, L. Physical Review Letters, Vol. 106, Issue 23 https://doi.org/10.1103/PhysRevLett.106.230403	journal	June 2011
Formation and Dynamics of Antiferromagnetic Correlations in Tunable Optical Lattices Greif, Daniel; Jotzu, Gregor; Messer, Michael Physical Review Letters, Vol. 115, Issue 26 https://doi.org/10.1103/PhysRevLett.115.260401	journal	December 2015
Integrals of motion in the many-body localized phase Ros, V.; Müller, M.; Scardicchio, A. Nuclear Physics B, Vol. 891 https://doi.org/10.1016/j.nuclphysb.2014.12.014	journal	February 2015
Localization under the effect of randomly distributed decoherence Stegmann, Thomas; Ujsághy, Orsolya; Wolf, Dietrich E. The European Physical Journal B, Vol. 87, Issue 2 https://doi.org/10.1140/epjb/e2014-40997-3	journal	February 2014
Dephasing-induced diffusive transport in the anisotropic Heisenberg model Žnidarič, Marko New Journal of Physics, Vol. 12, Issue 4 https://doi.org/10.1088/1367-2630/12/4/043001	journal	April 2010
Stretched exponential decay of Majorana edge modes in many-body localized Kitaev chains under dissipation Carmele, Alexander; Heyl, Markus; Kraus, Christina Physical Review B, Vol. 92, Issue 19 https://doi.org/10.1103/PhysRevB.92.195107	journal	November 2015
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
Area laws in a many-body localized state and its implications for topological order Bauer, Bela; Nayak, Chetan Journal of Statistical Mechanics: Theory and Experiment, Vol. 2013, Issue 09 https://doi.org/10.1088/1742-5468/2013/09/P09005	journal	September 2013
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
Dynamics of a Many-Body-Localized System Coupled to a Bath Fischer, Mark H.; Maksymenko, Mykola; Altman, Ehud Physical Review Letters, Vol. 116, Issue 16 https://doi.org/10.1103/PhysRevLett.116.160401	journal	April 2016
The density-matrix renormalization group in the age of matrix product states Schollwöck, Ulrich Annals of Physics, Vol. 326, Issue 1 https://doi.org/10.1016/j.aop.2010.09.012	journal	January 2011
Many-body localization and symmetry-protected topological order Chandran, Anushya; Khemani, Vedika; Laumann, C. R. Physical Review B, Vol. 89, Issue 14 https://doi.org/10.1103/PhysRevB.89.144201	journal	April 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
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
Short-Range Quantum Magnetism of Ultracold Fermions in an Optical Lattice Greif, D.; Uehlinger, T.; Jotzu, G. Science, Vol. 340, Issue 6138 https://doi.org/10.1126/science.1236362	journal	May 2013
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
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
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
Mixed-State Dynamics in One-Dimensional Quantum Lattice Systems: A Time-Dependent Superoperator Renormalization Algorithm Zwolak, Michael; Vidal, Guifré Physical Review Letters, Vol. 93, Issue 20 https://doi.org/10.1103/PhysRevLett.93.207205	journal	November 2004
Exact Nonequilibrium Steady State of a Strongly Driven Open $X X Z$ Chain Prosen, Tomaž Physical Review Letters, Vol. 107, Issue 13 https://doi.org/10.1103/PhysRevLett.107.137201	journal	September 2011
Matrix Product Density Operators: Simulation of Finite-Temperature and Dissipative Systems Verstraete, F.; García-Ripoll, J. J.; Cirac, J. I. Physical Review Letters, Vol. 93, Issue 20 https://doi.org/10.1103/PhysRevLett.93.207204	journal	November 2004
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
Conduction of Ultracold Fermions Through a Mesoscopic Channel Brantut, J. -P.; Meineke, J.; Stadler, D. Science, Vol. 337, Issue 6098 https://doi.org/10.1126/science.1223175	journal	August 2012
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
Fractal decomposition of exponential operators with applications to many-body theories and Monte Carlo simulations Suzuki, Masuo Physics Letters A, Vol. 146, Issue 6 https://doi.org/10.1016/0375-9601(90)90962-N	journal	June 1990
Heat transport in the X X Z spin chain: from ballistic to diffusive regimes and dephasing enhancement Mendoza-Arenas, J. J.; Al-Assam, S.; Clark, S. R. Journal of Statistical Mechanics: Theory and Experiment, Vol. 2013, Issue 07 https://doi.org/10.1088/1742-5468/2013/07/P07007	journal	July 2013
Open Heisenberg chain under boundary fields: A magnonic logic gate Landi, Gabriel T.; Karevski, Dragi Physical Review B, Vol. 91, Issue 17 https://doi.org/10.1103/PhysRevB.91.174422	journal	May 2015
Observing the drop of resistance in the flow of a superfluid Fermi gas Stadler, David; Krinner, Sebastian; Meineke, Jakob Nature, Vol. 491, Issue 7426 https://doi.org/10.1038/nature11613	journal	November 2012
Influence of dephasing on many-body localization Medvedyeva, Mariya V.; Prosen, Tomaž; Žnidarič, Marko Physical Review B, Vol. 93, Issue 9 https://doi.org/10.1103/PhysRevB.93.094205	journal	March 2016
Total correlations of the diagonal ensemble herald the many-body localization transition Goold, J.; Gogolin, C.; Clark, S. R. Physical Review B, Vol. 92, Issue 18 https://doi.org/10.1103/PhysRevB.92.180202	journal	November 2015
Many-Body Localization Implies that Eigenvectors are Matrix-Product States Friesdorf, M.; Werner, A. H.; Brown, W. Physical Review Letters, Vol. 114, Issue 17 https://doi.org/10.1103/PhysRevLett.114.170505	journal	May 2015
Matrix product simulations of non-equilibrium steady states of quantum spin chains Prosen, Tomaž; Žnidarič, Marko Journal of Statistical Mechanics: Theory and Experiment, Vol. 2009, Issue 02 https://doi.org/10.1088/1742-5468/2009/02/P02035	journal	February 2009
Observation of quantized conductance in neutral matter Krinner, Sebastian; Stadler, David; Husmann, Dominik Nature, Vol. 517, Issue 7532 https://doi.org/10.1038/nature14049	journal	December 2014
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
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
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
Dephasing enhanced transport in nonequilibrium strongly correlated quantum systems Mendoza-Arenas, J. J.; Grujic, T.; Jaksch, D. Physical Review B, Vol. 87, Issue 23 https://doi.org/10.1103/PhysRevB.87.235130	journal	June 2013
Griffiths effects and slow dynamics in nearly many-body localized systems Gopalakrishnan, Sarang; Agarwal, Kartiek; Demler, Eugene A. Physical Review B, Vol. 93, Issue 13 https://doi.org/10.1103/PhysRevB.93.134206	journal	April 2016
Exact solution for a diffusive nonequilibrium steady state of an open quantum chain Žnidarič, Marko Journal of Statistical Mechanics: Theory and Experiment, Vol. 2010, Issue 05 https://doi.org/10.1088/1742-5468/2010/05/L05002	journal	May 2010
Robustness of Many-Body Localization in the Presence of Dissipation Levi, Emanuele; Heyl, Markus; Lesanovsky, Igor Physical Review Letters, Vol. 116, Issue 23 https://doi.org/10.1103/PhysRevLett.116.237203	journal	June 2016

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