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:
-
- California Inst. of Technology (CalTech), Pasadena, CA (United States). Inst. for Quantum Information and Matter
- 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
- 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.
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
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.
@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}
}
Web of Science
Figures / Tables:
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