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

This content will become publicly available on July 15, 2020

Title: Systematic Construction of Scarred Many-Body Dynamics in 1D Lattice Models

Abstract

In this paper, we introduce a family of nonintegrable 1D lattice models that feature robust periodic revivals under a global quench from certain initial product states, thus generalizing the phenomenon of many-body scarring recently observed in Rydberg atom quantum simulators. Our construction is based on a systematic embedding of the single-site unitary dynamics into a kinetically constrained many-body system. We numerically demonstrate that this construction yields new families of models with robust wave-function revivals, and it includes kinetically constrained quantum clock models as a special case. We show that scarring dynamics in these models can be decomposed into a period of nearly free clock precession and an interacting bottleneck, shedding light on their anomalously slow thermalization when quenched from special initial states.

Authors:
 [1];  [2]; ORCiD logo [1]
  1. Univ. of Leeds, Leeds (United Kingdom). School of Physics and Astronomy
  2. Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
OSTI Identifier:
1546067
Alternate Identifier(s):
OSTI ID: 1546388
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 123; Journal Issue: 3; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Bull, Kieran, Martin, Ivar, and Papić, Z. Systematic Construction of Scarred Many-Body Dynamics in 1D Lattice Models. United States: N. p., 2019. Web. doi:10.1103/PhysRevLett.123.030601.
Bull, Kieran, Martin, Ivar, & Papić, Z. Systematic Construction of Scarred Many-Body Dynamics in 1D Lattice Models. United States. doi:10.1103/PhysRevLett.123.030601.
Bull, Kieran, Martin, Ivar, and Papić, Z. Mon . "Systematic Construction of Scarred Many-Body Dynamics in 1D Lattice Models". United States. doi:10.1103/PhysRevLett.123.030601.
@article{osti_1546067,
title = {Systematic Construction of Scarred Many-Body Dynamics in 1D Lattice Models},
author = {Bull, Kieran and Martin, Ivar and Papić, Z.},
abstractNote = {In this paper, we introduce a family of nonintegrable 1D lattice models that feature robust periodic revivals under a global quench from certain initial product states, thus generalizing the phenomenon of many-body scarring recently observed in Rydberg atom quantum simulators. Our construction is based on a systematic embedding of the single-site unitary dynamics into a kinetically constrained many-body system. We numerically demonstrate that this construction yields new families of models with robust wave-function revivals, and it includes kinetically constrained quantum clock models as a special case. We show that scarring dynamics in these models can be decomposed into a period of nearly free clock precession and an interacting bottleneck, shedding light on their anomalously slow thermalization when quenched from special initial states.},
doi = {10.1103/PhysRevLett.123.030601},
journal = {Physical Review Letters},
number = 3,
volume = 123,
place = {United States},
year = {2019},
month = {7}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on July 15, 2020
Publisher's Version of Record

Save / Share:

Works referenced in this record:

Local Conservation Laws and the Structure of the Many-Body Localized States
journal, September 2013


Exact Quantum Many-Body Scar States in the Rydberg-Blockaded Atom Chain
journal, April 2019


Signatures of integrability in the dynamics of Rydberg-blockaded chains
journal, April 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

Collective Rydberg excitations of an atomic gas confined in a ring lattice
journal, April 2009


Thermalization and prethermalization in isolated quantum systems: a theoretical overview
journal, May 2018

  • Mori, Takashi; Ikeda, Tatsuhiko N.; Kaminishi, Eriko
  • Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 51, Issue 11
  • DOI: 10.1088/1361-6455/aabcdf

Bound-State Eigenfunctions of Classically Chaotic Hamiltonian Systems: Scars of Periodic Orbits
journal, October 1984


Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
journal, April 2016


Absence of Diffusion in Certain Random Lattices
journal, March 1958


Quantum scarred eigenstates in a Rydberg atom chain: Entanglement, breakdown of thermalization, and stability to perturbations
journal, October 2018


Prethermal Phases of Matter Protected by Time-Translation Symmetry
journal, March 2017


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


Nonthermal States Arising from Confinement in One and Two Dimensions
journal, April 2019


Critical Thermalization of a Disordered Dipolar Spin System in Diamond
journal, July 2018


Quantum field theory for the chiral clock transition in one spatial dimension
journal, November 2018


Density matrix formulation for quantum renormalization groups
journal, November 1992


Tunable two-dimensional arrays of single Rydberg atoms for realizing quantum Ising models
journal, June 2016

  • Labuhn, Henning; Barredo, Daniel; Ravets, Sylvain
  • Nature, Vol. 534, Issue 7609
  • DOI: 10.1038/nature18274

A simple solvable ZN Hamiltonian
journal, September 1989


Observation of spatially ordered structures in a two-dimensional Rydberg gas
journal, October 2012

  • Schauß, Peter; Cheneau, Marc; Endres, Manuel
  • Nature, Vol. 491, Issue 7422
  • DOI: 10.1038/nature11596

Exact excited states of nonintegrable models
journal, December 2018


Conductance fluctuations and chaotic scattering in ballistic microstructures
journal, July 1992


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

Many-body localization in a quantum simulator with programmable random disorder
journal, June 2016

  • Smith, J.; Lee, A.; Richerme, P.
  • Nature Physics, Vol. 12, Issue 10
  • DOI: 10.1038/nphys3783

Classical Simulation of Infinite-Size Quantum Lattice Systems in One Spatial Dimension
journal, February 2007


Onsager symmetries in $U(1)$ -invariant clock models
journal, April 2019

  • Vernier, Eric; O’Brien, Edward; Fendley, Paul
  • Journal of Statistical Mechanics: Theory and Experiment, Vol. 2019, Issue 4
  • DOI: 10.1088/1742-5468/ab11c0

Time Dependence of Correlation Functions Following a Quantum Quench
journal, April 2006


Localization of interacting fermions at high temperature
journal, April 2007


Universal time evolution of a Rydberg lattice gas with perfect blockade
journal, July 2012

  • Olmos, B.; González-Férez, R.; Lesanovsky, I.
  • Journal of Physics A: Mathematical and Theoretical, Vol. 45, Issue 32
  • DOI: 10.1088/1751-8113/45/32/325301

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


Observation of many-body localization of interacting fermions in a quasirandom optical lattice
journal, July 2015


Real-time confinement following a quantum quench to a non-integrable model
journal, November 2016

  • Kormos, Marton; Collura, Mario; Takács, Gabor
  • Nature Physics, Vol. 13, Issue 3
  • DOI: 10.1038/nphys3934

Quantum Kibble–Zurek mechanism and critical dynamics on a programmable Rydberg simulator
journal, April 2019


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


Observation of 'scarred' wavefunctions in a quantum well with chaotic electron dynamics
journal, April 1996

  • Wilkinson, P. B.; Fromhold, T. M.; Eaves, L.
  • Nature, Vol. 380, Issue 6575
  • DOI: 10.1038/380608a0

Experimental observation of scarred eigenfunctions of chaotic microwave cavities
journal, August 1991


Many-body spectral reflection symmetry and protected infinite-temperature degeneracy
journal, July 2018


Localization in spin chains with facilitation constraints and disordered interactions
journal, June 2019


Periodic Orbits, Entanglement, and Quantum Many-Body Scars in Constrained Models: Matrix Product State Approach
journal, January 2019


Free parafermions
journal, January 2014


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


Interacting Fibonacci anyons in a Rydberg gas
journal, October 2012


Numerical study of two-body correlation in a 1D lattice with perfect blockade
journal, April 2008


Quantum thermalization through entanglement in an isolated many-body system
journal, August 2016


Quantum statistical mechanics in a closed system
journal, February 1991


Chaos and quantum thermalization
journal, August 1994


Phenomenology of fully many-body-localized systems
journal, November 2014


Signatures of rare states and thermalization in a theory with confinement
journal, May 2019


A quantum Newton's cradle
journal, April 2006

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

Systematic Construction of Counterexamples to the Eigenstate Thermalization Hypothesis
journal, July 2017