skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: A Universal Operator Growth Hypothesis

Authors:
; ; ; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1571537
Grant/Contract Number:  
SC0019380
Resource Type:
Published Article
Journal Name:
Physical Review. X
Additional Journal Information:
Journal Name: Physical Review. X Journal Volume: 9 Journal Issue: 4; Journal ID: ISSN 2160-3308
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Parker, Daniel E., Cao, Xiangyu, Avdoshkin, Alexander, Scaffidi, Thomas, and Altman, Ehud. A Universal Operator Growth Hypothesis. United States: N. p., 2019. Web. doi:10.1103/PhysRevX.9.041017.
Copy to clipboard
Parker, Daniel E., Cao, Xiangyu, Avdoshkin, Alexander, Scaffidi, Thomas, & Altman, Ehud. A Universal Operator Growth Hypothesis. United States. doi:10.1103/PhysRevX.9.041017.
Copy to clipboard
Parker, Daniel E., Cao, Xiangyu, Avdoshkin, Alexander, Scaffidi, Thomas, and Altman, Ehud. Wed . "A Universal Operator Growth Hypothesis". United States. doi:10.1103/PhysRevX.9.041017.
Copy to clipboard
@article{osti_1571537,
title = {A Universal Operator Growth Hypothesis},
author = {Parker, Daniel E. and Cao, Xiangyu and Avdoshkin, Alexander and Scaffidi, Thomas and Altman, Ehud},
abstractNote = {},
doi = {10.1103/PhysRevX.9.041017},
journal = {Physical Review. X},
number = 4,
volume = 9,
place = {United States},
year = {2019},
month = {10}
}
Copy to clipboard
Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevX.9.041017
Copyright Statement
Other availability
Search WorldCat Search WorldCat to find libraries that may hold this journal
Citation Metrics:
Cited by: 18 works
Citation information provided by
Web of Science
Save / Share:
Export Metadata
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.

Works referenced in this record:

Quantum dynamics of thermalizing systems
journal, January 2018

  • White, Christopher David; Zaletel, Michael; Mong, Roger S. K.
  • Physical Review B, Vol. 97, Issue 3
  • DOI: 10.1103/PhysRevB.97.035127

Product spectrum ansatz and the simplicity of thermal states
journal, September 2019

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

The dipolar fluctuation spectrum and the shape of the wings of nuclear magnetic resonance absorption spectra in solids
journal, December 1990

  • Lundin, A. A.; Makarenko, A. V.; Zobov, V. E.
  • Journal of Physics: Condensed Matter, Vol. 2, Issue 50
  • DOI: 10.1088/0953-8984/2/50/017

Hydrodynamic Diffusion in Integrable Systems
journal, October 2018

Eigenstate thermalization hypothesis
journal, July 2018

Signatures of chaos in time series generated by many-spin systems at high temperatures
journal, August 2014

On the quantum inverse scattering problem
journal, June 2000

Density of States of Quantum Spin Systems from Isotropic Entanglement
journal, August 2011

Complex-time singularity and locality estimates for quantum lattice systems
journal, December 2015

  • Bouch, Gabriel
  • Journal of Mathematical Physics, Vol. 56, Issue 12
  • DOI: 10.1063/1.4936209

Spin diffusion from an inhomogeneous quench in an integrable system
journal, July 2017

  • Ljubotina, Marko; Žnidarič, Marko; Prosen, Tomaž
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms16117

Connecting global and local energy distributions in quantum spin models on a lattice
journal, March 2016

  • Arad, Itai; Kuwahara, Tomotaka; Landau, Zeph
  • Journal of Statistical Mechanics: Theory and Experiment, Vol. 2016, Issue 3
  • DOI: 10.1088/1742-5468/2016/03/033301

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

Statistical theory of transport by strongly interacting lattice fermions
journal, January 2006

Emergent SU(2) Dynamics and Perfect Quantum Many-Body Scars
journal, June 2019

Upper Bound on Diffusivity
journal, October 2017

The finite group velocity of quantum spin systems
journal, September 1972

  • Lieb, Elliott H.; Robinson, Derek W.
  • Communications in Mathematical Physics, Vol. 28, Issue 3
  • DOI: 10.1007/BF01645779

Complexity and nonseparability of classical Liouvillian dynamics
journal, March 2011

Density matrix formulation for quantum renormalization groups
journal, November 1992

Operator growth in the SYK model
journal, June 2018

  • Roberts, Daniel A.; Stanford, Douglas; Streicher, Alexandre
  • Journal of High Energy Physics, Vol. 2018, Issue 6
  • DOI: 10.1007/JHEP06(2018)122

Bohigas-Giannoni-Schmit conjecture
journal, January 2016

Exact Spectral Form Factor in a Minimal Model of Many-Body Quantum Chaos
journal, December 2018

Generality of Deterministic Chaos, Exponential Spectra, and Lorentzian Pulses in Magnetically Confined Plasmas
journal, October 2011

Operator Size at Finite Temperature and Planckian Bounds on Quantum Dynamics
journal, May 2019

Clifford group, stabilizer states, and linear and quadratic operations over GF(2)
journal, October 2003

Meixner polynomials of the second kind and quantum algebras representing su(1, 1)
journal, September 2009

  • Hetyei, Gábor
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 466, Issue 2117
  • DOI: 10.1098/rspa.2009.0497

Lower Bounding Diffusion Constant by the Curvature of Drude Weight
journal, August 2017

Quantum chaos for nonstandard symmetry classes in the Feingold-Peres model of coupled tops
journal, December 2017

Pi, Euler Numbers, and Asymptotic Expansions
journal, October 1989

Observation of Elastic Doublon Decay in the Fermi-Hubbard Model
journal, February 2010

A simple stochastic model for the onset of turbulence in Rayleigh-Bénard convection
journal, September 1982

Ergodic Theory, Infinite Products, and Long Time Behavior in Hermitian Models
journal, November 2001

Form factors of the XXZ Heisenberg finite chain
journal, August 1999

Spin transport of weakly disordered Heisenberg chain at infinite temperature
journal, June 2016

Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws
journal, January 1984

Probing many-body dynamics on a 51-atom quantum simulator
journal, November 2017

  • Bernien, Hannes; Schwartz, Sylvain; Keesling, Alexander
  • Nature, Vol. 551, Issue 7682
  • DOI: 10.1038/nature24622

Gibbs states of a one dimensional quantum lattice
journal, June 1969

  • Araki, Huzihiro
  • Communications in Mathematical Physics, Vol. 14, Issue 2
  • DOI: 10.1007/BF01645134

Colloquium : Many-body localization, thermalization, and entanglement
journal, May 2019

Exponential decay of power spectra at high frequency and positive Lyapunov exponents
journal, April 1995

Hydrodynamics of operator spreading and quasiparticle diffusion in interacting integrable systems
journal, December 2018

Defining quantum dynamical entropy
journal, September 1994

  • Alicki, R.; Fannes, M.
  • Letters in Mathematical Physics, Vol. 32, Issue 1
  • DOI: 10.1007/BF00761125

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

Finding purifications with minimal entanglement
journal, December 2018

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

Solution of a Minimal Model for Many-Body Quantum Chaos
journal, November 2018

Hall Number of Strongly Correlated Metals
journal, August 2018

Rotating-Frame Nuclear-Double-Resonance Dynamics: Dipolar Fluctuation Spectrum in Ca F 2
journal, December 1969

Operator Spreading and the Emergence of Dissipative Hydrodynamics under Unitary Evolution with Conservation Laws
journal, September 2018

Remarks on the Sachdev-Ye-Kitaev model
journal, November 2016

Regular and chaotic motion of coupled rotators
journal, December 1983

Ergodicity and mixing in quantum theory. II
journal, July 1984

Free-inducation-decay measurements and determination of moments in Ca F 2
journal, August 1974

Lyapunov exponent
journal, January 2013

On CFT and quantum chaos
journal, December 2016

  • Turiaci, Gustavo J.; Verlinde, Herman
  • Journal of High Energy Physics, Vol. 2016, Issue 12
  • DOI: 10.1007/JHEP12(2016)110

Conductivity of hard core bosons: A paradigm of a bad metal
journal, February 2010

Diffusive Hydrodynamics of Out-of-Time-Ordered Correlators with Charge Conservation
journal, September 2018

  • Rakovszky, Tibor; Pollmann, Frank; von Keyserlingk, C. W.
  • Physical Review X, Vol. 8, Issue 3
  • DOI: 10.1103/PhysRevX.8.031058

Kinetic Theory of Spin Diffusion and Superdiffusion in X X Z Spin Chains
journal, March 2019

A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems
journal, June 2017

  • Abanin, Dmitry; De Roeck, Wojciech; Ho, Wen Wei
  • Communications in Mathematical Physics, Vol. 354, Issue 3
  • DOI: 10.1007/s00220-017-2930-x

Operator Spreading in Random Unitary Circuits
journal, April 2018

Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws
journal, April 2018

  • von Keyserlingk, C. W.; Rakovszky, Tibor; Pollmann, Frank
  • Physical Review X, Vol. 8, Issue 2
  • DOI: 10.1103/PhysRevX.8.021013

Bernoulli, Euler, permutations and quantum algebras
journal, July 2007

  • Hodges, Andrew; Sukumar, C. V.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 463, Issue 2086
  • DOI: 10.1098/rspa.2007.0001

Exponentially Slow Heating in Periodically Driven Many-Body Systems
journal, December 2015

Quantum algebras and parity-dependent spectra
journal, July 2007

  • Sukumar, C. V.; Hodges, Andrew
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 463, Issue 2086
  • DOI: 10.1098/rspa.2007.0003

Infinite-temperature dynamics of the equivalent-neighbor XYZ model
journal, November 1990

On a relation between Lyapunov exponents and the radius of analyticity
journal, January 2008

  • Cheskidov, A.; Jolly, M. S.; Van Vleck, E. S.
  • Indiana University Mathematics Journal, Vol. 57, Issue 6
  • DOI: 10.1512/iumj.2008.57.3826

Weak ergodicity breaking from quantum many-body scars
journal, May 2018

Dynamical entropy ofC* algebras and von Neumann algebras
journal, December 1987

  • Connes, A.; Narnhofer, H.; Thirring, W.
  • Communications in Mathematical Physics, Vol. 112, Issue 4
  • DOI: 10.1007/BF01225381

Intermittency in nonlinear dynamics and singularities at complex times
journal, May 1981

Quantum statistical mechanics in a closed system
journal, February 1991

Chaos and quantum thermalization
journal, August 1994

Absence of exponential sensitivity to small perturbations in nonintegrable systems of spins 1/2
journal, January 2014

Resonances of chaotic dynamical systems
journal, February 1986

Diffusion in generalized hydrodynamics and quasiparticle scattering
journal, January 2019

Chaos and complexity of quantum motion
journal, June 2007

    [ × clear filter / sort ]

    Similar Records in DOE PAGES and OSTI.GOV collections: