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Title: Extension of the eigenstate thermalization hypothesis to nonequilibrium steady states

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Publisher's Accepted Manuscript
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Physical Review B
Additional Journal Information:
Journal Name: Physical Review B Journal Volume: 100 Journal Issue: 4; Journal ID: ISSN 2469-9950
American Physical Society
Country of Publication:
United States

Citation Formats

Moudgalya, Sanjay, Devakul, Trithep, Arovas, D. P., and Sondhi, S. L. Extension of the eigenstate thermalization hypothesis to nonequilibrium steady states. United States: N. p., 2019. Web. doi:10.1103/PhysRevB.100.045112.
Moudgalya, Sanjay, Devakul, Trithep, Arovas, D. P., & Sondhi, S. L. Extension of the eigenstate thermalization hypothesis to nonequilibrium steady states. United States. doi:10.1103/PhysRevB.100.045112.
Moudgalya, Sanjay, Devakul, Trithep, Arovas, D. P., and Sondhi, S. L. Tue . "Extension of the eigenstate thermalization hypothesis to nonequilibrium steady states". United States. doi:10.1103/PhysRevB.100.045112.
title = {Extension of the eigenstate thermalization hypothesis to nonequilibrium steady states},
author = {Moudgalya, Sanjay and Devakul, Trithep and Arovas, D. P. and Sondhi, S. L.},
abstractNote = {},
doi = {10.1103/PhysRevB.100.045112},
journal = {Physical Review B},
number = 4,
volume = 100,
place = {United States},
year = {2019},
month = {7}

Journal Article:
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DOI: 10.1103/PhysRevB.100.045112

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Works referenced in this record:

Quantum information-geometry of dissipative quantum phase transitions
journal, February 2014

Thermalization and its mechanism for generic isolated quantum systems
journal, April 2008

  • Rigol, Marcos; Dunjko, Vanja; Olshanii, Maxim
  • Nature, Vol. 452, Issue 7189
  • DOI: 10.1038/nature06838

Exact Matrix Product Solution for the Boundary-Driven Lindblad X X Z Chain
journal, January 2013

Third quantization: a general method to solve master equations for quadratic open Fermi systems
journal, April 2008

A matrix product solution for a nonequilibrium steady state of an XX chain
journal, September 2010

Reduced density matrices and entanglement entropy in free lattice models
journal, December 2009

Colloquium : Nonequilibrium dynamics of closed interacting quantum systems
journal, August 2011

  • Polkovnikov, Anatoli; Sengupta, Krishnendu; Silva, Alessandro
  • Reviews of Modern Physics, Vol. 83, Issue 3
  • DOI: 10.1103/RevModPhys.83.863

Long-Range Order in Nonequilibrium Interacting Quantum Spin Chains
journal, August 2010

Density-matrix spectra of solvable fermionic systems
journal, July 2001

Matrix product solutions of boundary driven quantum chains
journal, August 2015

Eigenstate thermalization and representative states on subsystems
journal, November 2014

Many-body localization edge in the random-field Heisenberg chain
journal, February 2015

A theory of nonequilibrium steady states in quantum chaotic systems
journal, September 2017

Strong and Weak Thermalization of Infinite Nonintegrable Quantum Systems
journal, February 2011

Non-equilibrium steady states: fluctuations and large deviations of the density and of the current
journal, July 2007

Repeated interactions in open quantum systems
journal, July 2014

  • Bruneau, Laurent; Joye, Alain; Merkli, Marco
  • Journal of Mathematical Physics, Vol. 55, Issue 7
  • DOI: 10.1063/1.4879240

Heat, work, and energy currents in the boundary-driven X X Z spin chain
journal, February 2018

Two soluble models of an antiferromagnetic chain
journal, December 1961

Distribution of the Ratio of Consecutive Level Spacings in Random Matrix Ensembles
journal, February 2013

Poisson vs. GOE Statistics in Integrable and Non-Integrable Quantum Hamiltonians
journal, June 1993

Fractality in nonequilibrium steady states of quasiperiodic systems
journal, September 2017

  • Varma, Vipin Kerala; de Mulatier, Clélia; Žnidarič, Marko
  • Physical Review E, Vol. 96, Issue 3
  • DOI: 10.1103/PhysRevE.96.032130

Early Breakdown of Area-Law Entanglement at the Many-Body Delocalization Transition
journal, October 2015

Universality in volume-law entanglement of scrambled pure quantum states
journal, April 2018

Exact Nonequilibrium Steady State of an Open Hubbard Chain
journal, January 2014

Many-body localization phase transition
journal, November 2010

Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
journal, April 2004

Symmetries and conserved quantities in Lindblad master equations
journal, February 2014

Quantum and Information Thermodynamics: A Unifying Framework Based on Repeated Interactions
journal, April 2017

Entanglement Structure of Current-Driven Diffusive Fermion Systems
journal, April 2019

Quantum Nonequilibrium Steady States Induced by Repeated Interactions
journal, May 2009

From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics
journal, May 2016

Asymmetry in energy versus spin transport in certain interacting disordered systems
journal, March 2019

Efficient Simulation of One-Dimensional Quantum Many-Body Systems
journal, July 2004

On the generators of quantum dynamical semigroups
journal, June 1976

  • Lindblad, G.
  • Communications in Mathematical Physics, Vol. 48, Issue 2
  • DOI: 10.1007/BF01608499

Variational Matrix Product Operators for the Steady State of Dissipative Quantum Systems
journal, June 2015

Relaxation times of dissipative many-body quantum systems
journal, October 2015

Exact Nonequilibrium Steady State of a Strongly Driven Open X X Z Chain
journal, September 2011

Dephasing enhanced spin transport in the ergodic phase of a many-body localizable system: Dephasing enhanced spin transport in the ergodic phase of a many-body localizable system
journal, December 2016

  • Žnidarič, Marko; Mendoza-Arenas, Juan Jose; Clark, Stephen R.
  • Annalen der Physik, Vol. 529, Issue 7
  • DOI: 10.1002/andp.201600298

Non-Equilibrium Steady States of Finite¶Quantum Systems Coupled to Thermal Reservoirs
journal, March 2002

  • Jakšić, V.; Pillet, C. -A.
  • Communications in Mathematical Physics, Vol. 226, Issue 1
  • DOI: 10.1007/s002200200602

Quantum Dissipative Systems
book, March 2012

Open X X Z Spin Chain: Nonequilibrium Steady State and a Strict Bound on Ballistic Transport
journal, May 2011

Completely positive dynamical semigroups of N-level systems
journal, January 1976

  • Gorini, Vittorio
  • Journal of Mathematical Physics, Vol. 17, Issue 5
  • DOI: 10.1063/1.522979

Simple derivation of the Lindblad equation
journal, April 2012

Exterior integrability: Yang–Baxter form of non-equilibrium steady-state density operator
journal, July 2013

Eigenstate thermalization hypothesis and integrability in quantum spin chains
journal, April 2015

Matrix product simulations of non-equilibrium steady states of quantum spin chains
journal, February 2009

Diffusive and Subdiffusive Spin Transport in the Ergodic Phase of a Many-Body Localizable System
journal, July 2016

Many-Body Localization and Thermalization in Quantum Statistical Mechanics
journal, March 2015

Thermalization and ergodicity in one-dimensional many-body open quantum systems
journal, May 2010

Equilibration and thermalization in finite quantum systems
journal, May 2011

Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems
journal, March 2008

Quantum statistical mechanics in a closed system
journal, February 1991

Chaos and quantum thermalization
journal, August 1994

Open dynamics under rapid repeated interaction
journal, September 2016

Dephasing enhanced transport in nonequilibrium strongly correlated quantum systems
journal, June 2013

Exact solution for a diffusive nonequilibrium steady state of an open quantum chain
journal, May 2010

Finite-size scaling of eigenstate thermalization
journal, April 2014

Many-body localization and delocalization in large quantum chains
journal, November 2018

  • Doggen, Elmer V. H.; Schindler, Frank; Tikhonov, Konstantin S.
  • Physical Review B, Vol. 98, Issue 17
  • DOI: 10.1103/PhysRevB.98.174202

Eigenvalue Statistics as an Indicator of Integrability of Nonequilibrium Density Operators
journal, September 2013

Quantum Phase Transition in a Far-from-Equilibrium Steady State of an X Y Spin Chain
journal, September 2008