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Title: Rare-region effects and dynamics near the many-body localization transition: Rare-region effects and dynamics near the many-body localization transition

Authors:
 [1];  [2];  [3];  [4];  [5];  [6]
  1. Department of Electrical Engineering, Princeton University, Princeton NJ 08544 USA
  2. Department of Physics, University of California, Berkeley CA 94720 USA
  3. Department of Physics, Harvard University, Cambridge MA 02138 USA
  4. Department of Engineering Science and Physics, CUNY College of Staten Island, Staten Island NY 10314 USA
  5. Physics Department, Princeton University, Princeton NJ 08544 USA
  6. Department of Physics, Walter Schottky Institute, and Institute for Advanced Study, Technical University of Munich, 85748 Garching Germany
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1401744
Grant/Contract Number:
SC0002140
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Annalen der Physik (Leipzig)
Additional Journal Information:
Journal Name: Annalen der Physik (Leipzig); Journal Volume: 529; Journal Issue: 7; Related Information: CHORUS Timestamp: 2017-10-20 17:32:12; Journal ID: ISSN 0003-3804
Publisher:
Wiley Blackwell (John Wiley & Sons)
Country of Publication:
Germany
Language:
English

Citation Formats

Agarwal, Kartiek, Altman, Ehud, Demler, Eugene, Gopalakrishnan, Sarang, Huse, David A., and Knap, Michael. Rare-region effects and dynamics near the many-body localization transition: Rare-region effects and dynamics near the many-body localization transition. Germany: N. p., 2017. Web. doi:10.1002/andp.201600326.
Agarwal, Kartiek, Altman, Ehud, Demler, Eugene, Gopalakrishnan, Sarang, Huse, David A., & Knap, Michael. Rare-region effects and dynamics near the many-body localization transition: Rare-region effects and dynamics near the many-body localization transition. Germany. doi:10.1002/andp.201600326.
Agarwal, Kartiek, Altman, Ehud, Demler, Eugene, Gopalakrishnan, Sarang, Huse, David A., and Knap, Michael. Thu . "Rare-region effects and dynamics near the many-body localization transition: Rare-region effects and dynamics near the many-body localization transition". Germany. doi:10.1002/andp.201600326.
@article{osti_1401744,
title = {Rare-region effects and dynamics near the many-body localization transition: Rare-region effects and dynamics near the many-body localization transition},
author = {Agarwal, Kartiek and Altman, Ehud and Demler, Eugene and Gopalakrishnan, Sarang and Huse, David A. and Knap, Michael},
abstractNote = {},
doi = {10.1002/andp.201600326},
journal = {Annalen der Physik (Leipzig)},
number = 7,
volume = 529,
place = {Germany},
year = {Thu Jan 12 00:00:00 EST 2017},
month = {Thu Jan 12 00:00:00 EST 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1002/andp.201600326

Citation Metrics:
Cited by: 24works
Citation information provided by
Web of Science

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  • According to the second law of thermodynamics the total entropy of a system is increased during almost any dynamical process. The positivity of the specific heat implies that the entropy increase is associated with heating. This is generally true both at the single particle level, like in the Fermi acceleration mechanism of charged particles reflected by magnetic mirrors, and for complex systems in everyday devices. Notable exceptions are known in noninteracting systems of particles moving in periodic potentials. Here the phenomenon of dynamical localization can prevent heating beyond certain threshold. The dynamical localization is known to occur both at classicalmore » (Fermi–Ulam model) and at quantum levels (kicked rotor). However, it was believed that driven ergodic systems will always heat without bound. Here, on the contrary, we report strong evidence of dynamical localization transition in both classical and quantum periodically driven ergodic systems in the thermodynamic limit. This phenomenon is reminiscent of many-body localization in energy space. -- Highlights: •A dynamical localization transition in periodically driven ergodic systems is found. •This phenomenon is reminiscent of many-body localization in energy space. •Our results are valid for classical and quantum systems in the thermodynamic limit. •At critical frequency, the short time expansion for the evolution operator breaks down. •The transition is associated to a divergent time scale.« less
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