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Title: Absence of thermalization in finite isolated interacting Floquet systems

Journal Article · · Physical Review B
 [1];  [2];  [3];  [1]
  1. California Inst. of Technology (CalTech), Pasadena, CA (United States). Inst. for Quantum Information and Matter
  2. California Inst. of Technology (CalTech), Pasadena, CA (United States). Inst. for Quantum Information and Matter; National Inst. of Standards and Technology (NIST), Gaithersburg, MD (United States); Univ. of Maryland, College Park, MD (United States). Joint Quantum Inst. and Joint Center for Quantum Information and Computer Science
  3. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Materials Sciences Division; Univ. of California, Berkeley, CA (United States). Dept. of Physics; Univ. of Texas at Dallas, Richardson, TX (United States)
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Conventional wisdom suggests that the long time behavior of isolated interacting periodically driven (Floquet) systems is a featureless maximal entropy state characterized by an infinite temperature. Efforts to thwart this uninteresting fixed point include adding sufficient disorder to realize a Floquet many-body localized phase or working in a narrow region of drive frequencies to achieve glassy non-thermal behavior at long time. Here we show that in clean systems the Floquet eigenstates can exhibit non-thermal behavior due to finite system size. We consider a one-dimensional system of spinless fermions with nearest-neighbor interactions where the interaction term is driven. Interestingly, even with no static component of the interaction, the quasienergy spectrum contains gaps and a significant fraction of the Floquet eigenstates, at all quasienergies, have non-thermal average doublon densities. Finally, we show that this non-thermal behavior arises due to emergent integrability at large interaction strength and discuss how the integrability breaks down with power-law dependence on system size.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1435129
Alternate ID(s):
OSTI ID: 1418397
Journal Information:
Physical Review B, Vol. 97, Issue 1; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 31 works
Citation information provided by
Web of Science

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Topological characterization of periodically-driven quantum systems text January 2010
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Photonic Floquet Topological Insulators text January 2012
Anomalous edge states and the bulk-edge correspondence for periodically-driven two dimensional systems text January 2012
Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices text January 2013
Equilibrium states of generic quantum systems subject to periodic driving text January 2014
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Fate of many-body localization under periodic driving text January 2014
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Prethermal Floquet Steady States and Instabilities in the Periodically Driven, Weakly Interacting Bose-Hubbard Model text January 2015
From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics text January 2015
Classification of topological phases in periodically driven interacting systems text January 2016
Generalized Gibbs ensemble in integrable lattice models text January 2016
Partial breakdown of quantum thermalization in a Hubbard-like model text January 2016
Pre-thermal phases of matter protected by time-translation symmetry text January 2016
Periodically Driving a Many-Body Localized Quantum System text January 2016
Discrete time crystals: rigidity, criticality, and realizations text January 2016
Effects of interactions on periodically driven dynamically localized systems text January 2016
Observation of a Discrete Time Crystal text January 2016
Dynamically enriched topological orders in driven two-dimensional systems text January 2016
Floquet topological phases with symmetry in all dimensions text January 2016
Disorder-Free Localization text January 2017
Localization of interacting fermions at high temperature text January 2006
Chaos and Quantum Thermalization text January 1994
Effective Hamiltonians for periodically driven systems text January 2003

Cited By (8)

Stability and pre-thermalization in chains of classical kicked rotors journal October 2018
Ultrafast control of spin interactions in honeycomb antiferromagnetic insulators journal August 2019
Ergodic-localized junctions in periodically driven systems journal December 2018
Nonlocal random walk over Floquet states of a dissipative nonlinear oscillator journal November 2019
Onset of Floquet Thermalisation text January 2018
Steady state of interacting Floquet insulators text January 2018
Ultrafast Control of Spin Interactions in Honeycomb Antiferromagnetic Insulators text January 2019
Bosonic fractional quantum Hall states in driven optical lattices text January 2019

Figures / Tables (13)

FIG. 1(p. 1)figure FIG. 1
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FIG. 6(p. 9)figure FIG. 6
FIG. 7(p. 10)figure FIG. 7
FIG. 8(p. 11)figure FIG. 8
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FIG. 10(p. 14)figure FIG. 10
FIG. 11(p. 14)figure FIG. 11
FIG. 12(p. 16)figure FIG. 12
FIG. 13(p. 16)figure FIG. 13

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