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Title: Absence of thermalization in finite isolated interacting Floquet systems

Abstract

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.

Authors:
 [1];  [2];  [3];  [1]
+ Show Author Affiliations
  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)
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
OSTI Identifier:
1435129
Alternate Identifier(s):
OSTI ID: 1418397
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 97; Journal Issue: 1; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Seetharam, Karthik, Titum, Paraj, Kolodrubetz, Michael, and Refael, Gil. Absence of thermalization in finite isolated interacting Floquet systems. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.97.014311.
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Seetharam, Karthik, Titum, Paraj, Kolodrubetz, Michael, & Refael, Gil. Absence of thermalization in finite isolated interacting Floquet systems. United States. https://doi.org/10.1103/PhysRevB.97.014311
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Seetharam, Karthik, Titum, Paraj, Kolodrubetz, Michael, and Refael, Gil. Mon . "Absence of thermalization in finite isolated interacting Floquet systems". United States. https://doi.org/10.1103/PhysRevB.97.014311. https://www.osti.gov/servlets/purl/1435129.
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@article{osti_1435129,
title = {Absence of thermalization in finite isolated interacting Floquet systems},
author = {Seetharam, Karthik and Titum, Paraj and Kolodrubetz, Michael and Refael, Gil},
abstractNote = {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.},
doi = {10.1103/PhysRevB.97.014311},
journal = {Physical Review B},
number = 1,
volume = 97,
place = {United States},
year = {Mon Jan 29 00:00:00 EST 2018},
month = {Mon Jan 29 00:00:00 EST 2018}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1103/PhysRevB.97.014311
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Cited by: 31 works
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Figures / Tables:

FIG. 1 FIG. 1: Phase diagram showing the thermal (red) and nonthermal (blue) behavior of the periodically driven model described in Eq. 1. We see that at finite size, N , and large U/J ≫ 1, the periodically driven chain exhibits non-thermal behavior. In the thermodynamic limit, this region vanishes. The fittingmore » points (black stars) indicate the approximate crossover region as obtained from exact diagonalization. The crossover line (green) between the thermal and non-thermal region is a power-law fit to the black stars ($\frac{J}{U}$)c ≈ 2.9N−1.1.« less
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text, January 2012

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text, January 2013

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text, January 2014

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text, January 2016

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text, January 2016

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text, January 2016

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text, January 2016

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text, January 2016

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text, January 2016

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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

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    Works referencing / citing this record:

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    • Rajak, Atanu; Citro, Roberta; Dalla Torre, Emanuele G.
    • Journal of Physics A: Mathematical and Theoretical, Vol. 51, Issue 46
    • DOI: 10.1088/1751-8121/aae294

    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

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