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Title: Universal spin dynamics in infinite-temperature one-dimensional quantum magnets

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Publication Date:
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
Grant/Contract Number:  
AC02-05-CH11231; AC02-05CH11231
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Name: Physical Review B Journal Volume: 101 Journal Issue: 12; Journal ID: ISSN 2469-9950
American Physical Society
Country of Publication:
United States

Citation Formats

Dupont, Maxime, and Moore, Joel E. Universal spin dynamics in infinite-temperature one-dimensional quantum magnets. United States: N. p., 2020. Web. doi:10.1103/PhysRevB.101.121106.
Dupont, Maxime, & Moore, Joel E. Universal spin dynamics in infinite-temperature one-dimensional quantum magnets. United States. doi:10.1103/PhysRevB.101.121106.
Dupont, Maxime, and Moore, Joel E. Thu . "Universal spin dynamics in infinite-temperature one-dimensional quantum magnets". United States. doi:10.1103/PhysRevB.101.121106.
title = {Universal spin dynamics in infinite-temperature one-dimensional quantum magnets},
author = {Dupont, Maxime and Moore, Joel E.},
abstractNote = {},
doi = {10.1103/PhysRevB.101.121106},
journal = {Physical Review B},
number = 12,
volume = 101,
place = {United States},
year = {2020},
month = {3}

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Works referenced in this record:

Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models
journal, August 1979

Quasi-local conserved charges and spin transport in spin-1 integrable chains
journal, May 2016

Hydrodynamic Diffusion in Integrable Systems
journal, October 2018

Superdiffusion in One-Dimensional Quantum Lattice Models
journal, December 2018

Breakdown of hydrodynamics in the classical 1D Heisenberg model
journal, July 1992

Transport in Out-of-Equilibrium X X Z Chains: Exact Profiles of Charges and Currents
journal, November 2016

Lattice gas with nearest‐neighbor interaction in one dimension with arbitrary statistics
journal, October 1974

  • Lai, C. K.
  • Journal of Mathematical Physics, Vol. 15, Issue 10
  • DOI: 10.1063/1.1666522

Diffusive transport in a quasiperiodic Fibonacci chain: Absence of many-body localization at weak interactions
journal, August 2019

Ergodicity, constants of motion, and bounds for susceptibilities
journal, January 1971

Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
journal, September 2014

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

Exact solution of the one-dimensional isotropic Heisenberg chain with arbitrary spins S
journal, August 1982

Anomalous Spin Diffusion in One-Dimensional Antiferromagnets
journal, October 2019

Spin Transport in a One-Dimensional Anisotropic Heisenberg Model
journal, May 2011

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

Exact solution of the isotropic Heisenberg chain with arbitrary spins: Thermodynamics of the model
journal, February 1983

Bethe-Boltzmann hydrodynamics and spin transport in the XXZ chain
journal, January 2018

Thermalization near Integrability in a Dipolar Quantum Newton’s Cradle
journal, May 2018

Anomalous Spin Diffusion in Classical Heisenberg Magnets
journal, June 1988

Ground state and low-lying excitations in the Heisenberg XXZ chain of arbitrary spin S
journal, August 1984

Critical theory of quantum spin chains
journal, October 1987

High-temperature spin dynamics in the Heisenberg chain: Magnon propagation and emerging Kardar-Parisi-Zhang scaling in the zero-magnetization limit
journal, January 2020

Transport and conservation laws
journal, May 1997

Transport Coefficients from Large Deviation Functions
journal, October 2017

Exact solution of the Heisenberg XXZ model of spin s
journal, November 1986

  • Kirillov, A. N.; Reshetikhin, N. Yu.
  • Journal of Soviet Mathematics, Vol. 35, Issue 4
  • DOI: 10.1007/BF01083768

Model for a multicomponent quantum system
journal, November 1975

SU(2n) quantum antiferromagnets with exact C-breaking ground states
journal, December 1991

Emergent Hydrodynamics in Integrable Quantum Systems Out of Equilibrium
journal, December 2016

  • Castro-Alvaredo, Olalla A.; Doyon, Benjamin; Yoshimura, Takato
  • Physical Review X, Vol. 6, Issue 4
  • DOI: 10.1103/PhysRevX.6.041065

Comment on ‘‘Breakdown of hydrodynamics in the classical 1D Heisenberg model’’
journal, January 1993

NMR relaxation in the spin-1 Heisenberg chain
journal, September 2019

Scaling of electrical and thermal conductivities in an almost integrable chain
journal, September 2013

Massless factorized scattering and sigma models with topological terms
journal, July 1992

Hydrodynamic equations and correlation functions
journal, October 1963

Comment on Anomalous spin diffusion in classical Heisenberg magnets.
journal, August 1989

Class of exactly solvable S O ( n ) symmetric spin chains with matrix product ground states
journal, September 2008

The density-matrix renormalization group in the age of matrix product states
journal, January 2011

Systematic classical continuum limits of integrable spin chains and emerging novel dualities
journal, December 2010

Critical Properties of S =1 Bond-Alternating XXZ Chains and Hidden Z 2 × Z 2 Symmetry
journal, December 1997

  • Kitazawa, Atsuhiro; Nomura, Kiyohide
  • Journal of the Physical Society of Japan, Vol. 66, Issue 12
  • DOI: 10.1143/JPSJ.66.3944

Time-dependent spin correlations in the Heisenberg magnet at infinite temperature
journal, August 1994

A theory of the time-dependent properties of Heisenberg spin chains at infinite temperature
journal, February 1994

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

Nonlinear Fluctuating Hydrodynamics for Anharmonic Chains
journal, February 2014

Spin diffusion in classical Heisenberg magnets with uniform, alternating, and random exchange
journal, May 1994

  • Srivastava, Niraj; Liu, Jian‐Min; Viswanath, V. S.
  • Journal of Applied Physics, Vol. 75, Issue 10
  • DOI: 10.1063/1.356842

Transport in a one-dimensional isotropic Heisenberg model at high temperature
journal, December 2011

Bethe ansatz solution of the Fateev-Zamolodchikov quantum spin chain with boundary terms
journal, June 1990

String order and hidden topological symmetry in the SO (2 n + 1) symmetric matrix product states
journal, September 2008

  • Tu, Hong-Hao; Zhang, Guang-Ming; Xiang, Tao
  • Journal of Physics A: Mathematical and Theoretical, Vol. 41, Issue 41
  • DOI: 10.1088/1751-8113/41/41/415201

Experimental observation of a generalized Gibbs ensemble
journal, April 2015

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

Anomalous relaxation and the high-temperature structure factor of XXZ spin chains
journal, July 2019

  • Gopalakrishnan, Sarang; Vasseur, Romain; Ware, Brayden
  • Proceedings of the National Academy of Sciences, Vol. 116, Issue 33
  • DOI: 10.1073/pnas.1906914116

Quantum criticality in the SO(5) bilinear-biquadratic Heisenberg chain
journal, February 2011

A method of functional equations in the theory of exactly solvable quantum systems
journal, May 1983

  • Reshetikhin, N. Yu.
  • Letters in Mathematical Physics, Vol. 7, Issue 3
  • DOI: 10.1007/BF00400435

SO(5) symmetric ladder
journal, July 1998

Conservation laws, integrability, and transport in one-dimensional quantum systems
journal, January 2011

Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
journal, May 1963

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

Kardar-Parisi-Zhang scaling for an integrable lattice Landau-Lifshitz spin chain
journal, October 2019

Magnetization dynamics in clean and disordered spin-1 XXZ chains
journal, October 2019

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

Spin diffusion in the one-dimensional classical Heisenberg model
journal, February 2013

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

Time Evolution of Local Observables After Quenching to an Integrable Model
journal, June 2013

Deterministic and stochastic spin diffusion in classical Heisenberg magnets
journal, November 1991

  • Liu, Jian‐Min; Srivastava, Niraj; Viswanath, V. S.
  • Journal of Applied Physics, Vol. 70, Issue 10
  • DOI: 10.1063/1.350037

Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
journal, June 2016

Non-ergodicity of phase functions in certain systems
journal, September 1969

Exact Scaling Functions for One-Dimensional Stationary KPZ Growth
journal, April 2004

Kardar-Parisi-Zhang Physics in the Quantum Heisenberg Magnet
journal, May 2019

Macroscopic Diffusive Transport in a Microscopically Integrable Hamiltonian System
journal, July 2013

Complete Generalized Gibbs Ensembles in an Interacting Theory
journal, October 2015

Anomalous Heat Conduction in One-Dimensional Momentum-Conserving Systems
journal, October 2002

Zur Theorie der Metalle: I. Eigenwerte und Eigenfunktionen der linearen Atomkette
journal, March 1931

Spin diffusion and the anisotropic spin- 1 2 Heisenberg chain
journal, June 2006

Quasilocal charges in integrable lattice systems
journal, June 2016

  • Ilievski, Enej; Medenjak, Marko; Prosen, Tomaž
  • Journal of Statistical Mechanics: Theory and Experiment, Vol. 2016, Issue 6
  • DOI: 10.1088/1742-5468/2016/06/064008

Dynamic Scaling of Growing Interfaces
journal, March 1986

Diffusion in generalized hydrodynamics and quasiparticle scattering
journal, January 2019

Integrable models of quantum one-dimensional magnets with O(n) and Sp(2k) symmetry
journal, June 1985

  • Reshetikhin, N. Yu.
  • Theoretical and Mathematical Physics, Vol. 63, Issue 3
  • DOI: 10.1007/BF01017501

The One-Dimensional KPZ Equation and Its Universality Class
journal, April 2015

A quantum Newton's cradle
journal, April 2006

  • Kinoshita, Toshiya; Wenger, Trevor; Weiss, David S.
  • Nature, Vol. 440, Issue 7086
  • DOI: 10.1038/nature04693

Far-from-Equilibrium Spin Transport in Heisenberg Quantum Magnets
journal, October 2014

Drude weight of the spin- 1 2 XXZ chain: Density matrix renormalization group versus exact diagonalization
journal, June 2013

The picture of low-lying excitations in the isotropic Heisenberg chain of arbitrary spins
journal, February 1982