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Title: Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws

Authors:
; ; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1432745
Grant/Contract Number:  
SC/0016244; PO 1370/2-1
Resource Type:
Published Article
Journal Name:
Physical Review X
Additional Journal Information:
Journal Name: Physical Review X Journal Volume: 8 Journal Issue: 2; Journal ID: ISSN 2160-3308
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

von Keyserlingk, C. W., Rakovszky, Tibor, Pollmann, Frank, and Sondhi, S. L. Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws. United States: N. p., 2018. Web. doi:10.1103/PhysRevX.8.021013.
von Keyserlingk, C. W., Rakovszky, Tibor, Pollmann, Frank, & Sondhi, S. L. Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws. United States. doi:10.1103/PhysRevX.8.021013.
von Keyserlingk, C. W., Rakovszky, Tibor, Pollmann, Frank, and Sondhi, S. L. Wed . "Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws". United States. doi:10.1103/PhysRevX.8.021013.
@article{osti_1432745,
title = {Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws},
author = {von Keyserlingk, C. W. and Rakovszky, Tibor and Pollmann, Frank and Sondhi, S. L.},
abstractNote = {},
doi = {10.1103/PhysRevX.8.021013},
journal = {Physical Review X},
number = 2,
volume = 8,
place = {United States},
year = {2018},
month = {4}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevX.8.021013

Citation Metrics:
Cited by: 49 works
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Works referenced in this record:

Theory of many-body localization in periodically driven systems
journal, September 2016


Equilibrium states of generic quantum systems subject to periodic driving
journal, July 2014


Towards the fast scrambling conjecture
journal, April 2013

  • Lashkari, Nima; Stanford, Douglas; Hastings, Matthew
  • Journal of High Energy Physics, Vol. 2013, Issue 4
  • DOI: 10.1007/JHEP04(2013)022

Out-of-time-ordered correlators in many-body localized systems: Out-of-time-ordered correlators in many-body localized systems
journal, December 2016

  • Huang, Yichen; Zhang, Yong-Liang; Chen, Xie
  • Annalen der Physik, Vol. 529, Issue 7
  • DOI: 10.1002/andp.201600318

Many-body physics with ultracold gases
journal, July 2008

  • Bloch, Immanuel; Dalibard, Jean; Zwerger, Wilhelm
  • Reviews of Modern Physics, Vol. 80, Issue 3
  • DOI: 10.1103/RevModPhys.80.885

Quench dynamics and relaxation in isolated integrable quantum spin chains
journal, June 2016


Chaos in quantum channels
journal, February 2016

  • Hosur, Pavan; Qi, Xiao-Liang; Roberts, Daniel A.
  • Journal of High Energy Physics, Vol. 2016, Issue 2
  • DOI: 10.1007/JHEP02(2016)004

Out-of-time-order correlation for many-body localization
journal, May 2017


Entanglement generation of Clifford quantum cellular automata
journal, December 2009


Multiple shocks
journal, December 2014

  • Shenker, Stephen H.; Stanford, Douglas
  • Journal of High Energy Physics, Vol. 2014, Issue 12
  • DOI: 10.1007/JHEP12(2014)046

Black holes and the butterfly effect
journal, March 2014

  • Shenker, Stephen H.; Stanford, Douglas
  • Journal of High Energy Physics, Vol. 2014, Issue 3
  • DOI: 10.1007/JHEP03(2014)067

Gapless spin-fluid ground state in a random quantum Heisenberg magnet
journal, May 1993


Fast scramblers
journal, October 2008


Stringy effects in scrambling
journal, May 2015

  • Shenker, Stephen H.; Stanford, Douglas
  • Journal of High Energy Physics, Vol. 2015, Issue 5
  • DOI: 10.1007/JHEP05(2015)132

Operator space entanglement entropy in a transverse Ising chain
journal, September 2007


On the structure of Clifford quantum cellular automata
journal, November 2008

  • Schlingemann, Dirk-M.; Vogts, Holger; Werner, Reinhard F.
  • Journal of Mathematical Physics, Vol. 49, Issue 11
  • DOI: 10.1063/1.3005565

Out-of-Time-Ordered Density Correlators in Luttinger Liquids
journal, July 2017


Onset of many-body chaos in the O ( N ) model
journal, September 2017


Entanglement growth during thermalization in holographic systems
journal, March 2014


Characterizing many-body localization by out-of-time-ordered correlation
journal, February 2017


Entanglement dynamics in quantum many-body systems
journal, March 2017


Time asymptotics and entanglement generation of Clifford quantum cellular automata
journal, January 2010

  • Gütschow, Johannes; Uphoff, Sonja; Werner, Reinhard F.
  • Journal of Mathematical Physics, Vol. 51, Issue 1
  • DOI: 10.1063/1.3278513

Lieb-Robinson Bound and the Butterfly Effect in Quantum Field Theories
journal, August 2016


Time evolution of entanglement entropy from black hole interiors
journal, May 2013


Quantum Butterfly Effect in Weakly Interacting Diffusive Metals
journal, September 2017


Weak quantum chaos
journal, August 2017


Information propagation in isolated quantum systems
journal, July 2017


Diagnosing Chaos Using Four-Point Functions in Two-Dimensional Conformal Field Theory
journal, September 2015


A bound on chaos
journal, August 2016

  • Maldacena, Juan; Shenker, Stephen H.; Stanford, Douglas
  • Journal of High Energy Physics, Vol. 2016, Issue 8
  • DOI: 10.1007/JHEP08(2016)106

Matrix Product Density Operators: Simulation of Finite-Temperature and Dissipative Systems
journal, November 2004


Quantum Entanglement Growth under Random Unitary Dynamics
journal, July 2017


Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states
journal, May 2006


Many-Body Localization in Periodically Driven Systems
journal, April 2015


On entanglement spreading in chaotic systems
journal, May 2017


Operator Spreading in Random Unitary Circuits
journal, April 2018


Microscopic model of quantum butterfly effect: Out-of-time-order correlators and traveling combustion waves
journal, December 2016


Many-body chaos at weak coupling
journal, October 2016


Localized shocks
journal, March 2015

  • Roberts, Daniel A.; Stanford, Douglas; Susskind, Leonard
  • Journal of High Energy Physics, Vol. 2015, Issue 3
  • DOI: 10.1007/JHEP03(2015)051

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


Long-time Behavior of Isolated Periodically Driven Interacting Lattice Systems
journal, December 2014


Quantum statistical mechanics in a closed system
journal, February 1991


Chaos and quantum thermalization
journal, August 1994


Efficient Classical Simulation of Slightly Entangled Quantum Computations
journal, October 2003


A Floquet model for the many-body localization transition
journal, December 2016


Entanglement Tsunami: Universal Scaling in Holographic Thermalization
journal, January 2014


Scrambling and thermalization in a diffusive quantum many-body system
journal, June 2017


Fate of Many-Body Localization Under Periodic Driving
journal, July 2015