Exploring one-particle orbitals in large many-body localized systems

Villalonga, Benjamin; Yu, Xiongjie; Luitz, David J.; Clark, Bryan K.

doi:10.1103/PhysRevB.97.104406

Title: Exploring one-particle orbitals in large many-body localized systems

Journal Article · Wed Mar 07 00:00:00 EST 2018 · Physical Review. B

DOI:https://doi.org/10.1103/PhysRevB.97.104406· OSTI ID:1424532

Villalonga, Benjamin; Yu, Xiongjie; Luitz, David J.; Clark, Bryan K.

View Accepted Manuscript (Publisher)

Cite

Export

Save

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

Grant/Contract Number:: FG02-11ER16211; SC0006028

OSTI ID:: 1424532

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Vol. 97 Journal Issue: 10; ISSN 2469-9950

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 18 works

Citation information provided by
Web of Science

References (67)

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
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
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
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
Recent progress in many-body localization: Recent progress in many-body localization Abanin, Dmitry A.; Papić, Zlatko Annalen der Physik, Vol. 529, Issue 7 https://doi.org/10.1002/andp.201700169	journal	July 2017
Signatures of the many-body localization transition in the dynamics of entanglement and bipartite fluctuations Singh, Rajeev; Bardarson, Jens H.; Pollmann, Frank New Journal of Physics, Vol. 18, Issue 2 https://doi.org/10.1088/1367-2630/18/2/023046	journal	February 2016
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
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
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
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
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
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
One-particle density matrix characterization of many-body localization: One-particle density matrix characterization of many-body localization Bera, Soumya; Martynec, Thomas; Schomerus, Henning Annalen der Physik, Vol. 529, Issue 7 https://doi.org/10.1002/andp.201600356	journal	February 2017
Entanglement entropy dynamics of Heisenberg chains Chiara, Gabriele De; Montangero, Simone; Calabrese, Pasquale Journal of Statistical Mechanics: Theory and Experiment, Vol. 2006, Issue 03 https://doi.org/10.1088/1742-5468/2006/03/P03001	journal	March 2006
Local integrals of motion in many-body localized systems: Local integrals of motion in many-body localized systems Imbrie, John Z.; Ros, Valentina; Scardicchio, Antonello Annalen der Physik, Vol. 529, Issue 7 https://doi.org/10.1002/andp.201600278	journal	May 2017
Accessing Many-Body Localized States through the Generalized Gibbs Ensemble Inglis, Stephen; Pollet, Lode Physical Review Letters, Vol. 117, Issue 12 https://doi.org/10.1103/PhysRevLett.117.120402	journal	September 2016
Efficient variational diagonalization of fully many-body localized Hamiltonians Pollmann, Frank; Khemani, Vedika; Cirac, J. Ignacio Physical Review B, Vol. 94, Issue 4 https://doi.org/10.1103/PhysRevB.94.041116	journal	July 2016
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
Critical Properties of the Many-Body Localization Transition Khemani, Vedika; Lim, S. P.; Sheng, D. N. Physical Review X, Vol. 7, Issue 2 https://doi.org/10.1103/PhysRevX.7.021013	journal	April 2017
Efficient Representation of Fully Many-Body Localized Systems Using Tensor Networks Wahl, Thorsten B.; Pal, Arijeet; Simon, Steven H. Physical Review X, Vol. 7, Issue 2 https://doi.org/10.1103/PhysRevX.7.021018	journal	May 2017
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
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
Entanglement scaling of excited states in large one-dimensional many-body localized systems Kennes, D. M.; Karrasch, C. Physical Review B, Vol. 93, Issue 24 https://doi.org/10.1103/PhysRevB.93.245129	journal	June 2016
Finding Matrix Product State Representations of Highly Excited Eigenstates of Many-Body Localized Hamiltonians Yu, Xiongjie; Pekker, David; Clark, Bryan K. Physical Review Letters, Vol. 118, Issue 1 https://doi.org/10.1103/PhysRevLett.118.017201	journal	January 2017
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 and transition by density matrix renormalization group and exact diagonalization studies Lim, S. P.; Sheng, D. N. Physical Review B, Vol. 94, Issue 4 https://doi.org/10.1103/PhysRevB.94.045111	journal	July 2016
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
Conductivity of disordered quantum lattice models at infinite temperature: Many-body localization Berkelbach, Timothy C.; Reichman, David R. Physical Review B, Vol. 81, Issue 22 https://doi.org/10.1103/PhysRevB.81.224429	journal	June 2010
Many-body localization phase transition: A simplified strong-randomness approximate renormalization group Zhang, Liangsheng; Zhao, Bo; Devakul, Trithep Physical Review B, Vol. 93, Issue 22 https://doi.org/10.1103/PhysRevB.93.224201	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
Quantum chaos and thermalization in isolated systems of interacting particles Borgonovi, F.; Izrailev, F. M.; Santos, L. F. Physics Reports, Vol. 626 https://doi.org/10.1016/j.physrep.2016.02.005	journal	April 2016
Information propagation in isolated quantum systems Luitz, David J.; Bar Lev, Yevgeny Physical Review B, Vol. 96, Issue 2 https://doi.org/10.1103/PhysRevB.96.020406	journal	July 2017
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
Obtaining Highly Excited Eigenstates of Many-Body Localized Hamiltonians by the Density Matrix Renormalization Group Approach Khemani, Vedika; Pollmann, Frank; Sondhi, S. L. Physical Review Letters, Vol. 116, Issue 24 https://doi.org/10.1103/PhysRevLett.116.247204	journal	June 2016
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
Absence of many-body mobility edges De Roeck, Wojciech; Huveneers, Francois; Müller, Markus Physical Review B, Vol. 93, Issue 1 https://doi.org/10.1103/PhysRevB.93.014203	journal	January 2016
Excited-State Geometry Optimization with the Density Matrix Renormalization Group, as Applied to Polyenes Hu, Weifeng; Chan, Garnet Kin-Lic Journal of Chemical Theory and Computation, Vol. 11, Issue 7 https://doi.org/10.1021/acs.jctc.5b00174	journal	June 2015
From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics D'Alessio, Luca; Kafri, Yariv; Polkovnikov, Anatoli Advances in Physics, Vol. 65, Issue 3 https://doi.org/10.1080/00018732.2016.1198134	journal	May 2016
The approach to thermal equilibrium in quantized chaotic systems Srednicki, Mark Journal of Physics A: Mathematical and General, Vol. 32, Issue 7 https://doi.org/10.1088/0305-4470/32/7/007	journal	January 1999
Spectral tensor networks for many-body localization Chandran, A.; Carrasquilla, J.; Kim, I. H. Physical Review B, Vol. 92, Issue 2 https://doi.org/10.1103/PhysRevB.92.024201	journal	July 2015
Obtaining highly excited eigenstates of the localized XX chain via DMRG-X Devakul, Trithep; Khemani, Vedika; Pollmann, Frank Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 375, Issue 2108 https://doi.org/10.1098/rsta.2016.0431	journal	October 2017
Fixed Points of Wegner-Wilson Flows and Many-Body Localization Pekker, David; Clark, Bryan K.; Oganesyan, Vadim Physical Review Letters, Vol. 119, Issue 7 https://doi.org/10.1103/PhysRevLett.119.075701	journal	August 2017
Two Universality Classes for the Many-Body Localization Transition Khemani, Vedika; Sheng, D. N.; Huse, David A. Physical Review Letters, Vol. 119, Issue 7 https://doi.org/10.1103/PhysRevLett.119.075702	journal	August 2017
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
Bose-Einstein Condensation and Liquid Helium Penrose, Oliver; Onsager, Lars Physical Review, Vol. 104, Issue 3 https://doi.org/10.1103/PhysRev.104.576	journal	November 1956
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
Operator entanglement entropy of the time evolution operator in chaotic systems Zhou, Tianci; Luitz, David J. Physical Review B, Vol. 95, Issue 9 https://doi.org/10.1103/PhysRevB.95.094206	journal	March 2017
Universal Properties of Many-Body Delocalization Transitions Potter, Andrew C.; Vasseur, Romain; Parameswaran, S. A. Physical Review X, Vol. 5, Issue 3 https://doi.org/10.1103/PhysRevX.5.031033	journal	September 2015
Many-Body Localization in One Dimension as a Dynamical Renormalization Group Fixed Point Vosk, Ronen; Altman, Ehud Physical Review Letters, Vol. 110, Issue 6 https://doi.org/10.1103/PhysRevLett.110.067204	journal	February 2013
Ergodicity and mixing in quantum theory. I Peres, Asher Physical Review A, Vol. 30, Issue 1 https://doi.org/10.1103/PhysRevA.30.504	journal	July 1984
Theory of the Many-Body Localization Transition in One-Dimensional Systems Vosk, Ronen; Huse, David A.; Altman, Ehud Physical Review X, Vol. 5, Issue 3 https://doi.org/10.1103/PhysRevX.5.031032	journal	September 2015
Encoding the structure of many-body localization with matrix product operators Pekker, David; Clark, Bryan K. Physical Review B, Vol. 95, Issue 3 https://doi.org/10.1103/PhysRevB.95.035116	journal	January 2017
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
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
Bimodal entanglement entropy distribution in the many-body localization transition Yu, Xiongjie; Luitz, David J.; Clark, Bryan K. Physical Review B, Vol. 94, Issue 18 https://doi.org/10.1103/PhysRevB.94.184202	journal	November 2016
Interacting Electrons in Disordered Wires: Anderson Localization and Low- $T$ Transport Gornyi, I. V.; Mirlin, A. D.; Polyakov, D. G. Physical Review Letters, Vol. 95, Issue 20 https://doi.org/10.1103/PhysRevLett.95.206603	journal	November 2005
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
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
Chaos and quantum thermalization Srednicki, Mark Physical Review E, Vol. 50, Issue 2 https://doi.org/10.1103/PhysRevE.50.888	journal	August 1994
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 of spinless fermions with attractive interactions in one dimension Lin, Sheng-Hsuan; Sbierski, Björn; Dorfner, Florian SciPost Physics, Vol. 4, Issue 1 https://doi.org/10.21468/SciPostPhys.4.1.002	journal	January 2018
Eigenstate phase transitions and the emergence of universal dynamics in highly excited states: Eigenstate phase transitions and the emergence of universal dynamics… Parameswaran, S. A.; Potter, Andrew C.; Vasseur, Romain Annalen der Physik, Vol. 529, Issue 7 https://doi.org/10.1002/andp.201600302	journal	January 2017
Long tail distributions near the many-body localization transition Luitz, David J. Physical Review B, Vol. 93, Issue 13 https://doi.org/10.1103/PhysRevB.93.134201	journal	April 2016
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
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

Similar Records

Exploring one-particle orbitals in large many-body localized systems

Journal Article · Thu Mar 01 00:00:00 EST 2018 · Physical Review B · OSTI ID:1424532

Villalonga, Benjamin; Yu, Xiongjie; Luitz, David J.; +1 more

One-particle many-body Green’s function theory: Algebraic recursive definitions, linked-diagram theorem, irreducible-diagram theorem, and general-order algorithms

Journal Article · Thu Jul 27 00:00:00 EDT 2017 · Journal of Chemical Physics · OSTI ID:1424532

Hirata, So; Doran, Alexander E.; Knowles, Peter J.; +1 more

Monte Carlo explicitly correlated second-order many-body perturbation theory

Journal Article · Fri Oct 21 00:00:00 EDT 2016 · Journal of Chemical Physics · OSTI ID:1424532

Johnson, Cole M.; Doran, Alexander E.; Zhang, Jinmei; +2 more

Title: Exploring one-particle orbitals in large many-body localized systems

Citation Formats

References (67)

Similar Records

Related Subjects