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Title: Separation of Time Scales in a Quantum Newton’s Cradle

Abstract

For strongly repulsive bosons in one dimension, we provide detailed modeling of the Bragg pulse used in quantum Newton's cradle-like settings or in Bragg spectroscopy experiments. By employing the Fermi-Bose mapping for a nite harmonically trapped gas and the Quench Action approach for a thermodynamic system on a ring, we reconstruct the exact post-pulse many-body time evolution of Lieb-Liniger gases in the Tonks-Girardeau limit, together with their changing local density pro le and momentum distribution. Our results display a clear separation of timescales between rapid and trap-insensitive relaxation immediately after the pulse, followed by slow in-trap periodic behaviour.

Authors:
 [1];  [1];  [1];  [1];  [2];  [1]
  1. Univ. of Amsterdam (Netherlands)
  2. Brookhaven National Lab. (BNL), Upton, NY (United States)
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1412758
Alternate Identifier(s):
OSTI ID: 1255317
Report Number(s):
BNL-114731-2017-JA
Journal ID: ISSN 0031-9007; PRLTAO; R&D Project: PO015; KC0202030; TRN: US1800350
Grant/Contract Number:  
SC0012704
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 116; Journal Issue: 22; 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

van den Berg, R., Wouters, B., Eliëns, S., De Nardis, J., Konik, R. M., and Caux, J. -S. Separation of Time Scales in a Quantum Newton’s Cradle. United States: N. p., 2016. Web. doi:10.1103/PhysRevLett.116.225302.
van den Berg, R., Wouters, B., Eliëns, S., De Nardis, J., Konik, R. M., & Caux, J. -S. Separation of Time Scales in a Quantum Newton’s Cradle. United States. doi:10.1103/PhysRevLett.116.225302.
van den Berg, R., Wouters, B., Eliëns, S., De Nardis, J., Konik, R. M., and Caux, J. -S. Wed . "Separation of Time Scales in a Quantum Newton’s Cradle". United States. doi:10.1103/PhysRevLett.116.225302. https://www.osti.gov/servlets/purl/1412758.
@article{osti_1412758,
title = {Separation of Time Scales in a Quantum Newton’s Cradle},
author = {van den Berg, R. and Wouters, B. and Eliëns, S. and De Nardis, J. and Konik, R. M. and Caux, J. -S.},
abstractNote = {For strongly repulsive bosons in one dimension, we provide detailed modeling of the Bragg pulse used in quantum Newton's cradle-like settings or in Bragg spectroscopy experiments. By employing the Fermi-Bose mapping for a nite harmonically trapped gas and the Quench Action approach for a thermodynamic system on a ring, we reconstruct the exact post-pulse many-body time evolution of Lieb-Liniger gases in the Tonks-Girardeau limit, together with their changing local density pro le and momentum distribution. Our results display a clear separation of timescales between rapid and trap-insensitive relaxation immediately after the pulse, followed by slow in-trap periodic behaviour.},
doi = {10.1103/PhysRevLett.116.225302},
journal = {Physical Review Letters},
number = 22,
volume = 116,
place = {United States},
year = {2016},
month = {6}
}

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Cited by: 7 works
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    Works referencing / citing this record:

    Correlations of zero-entropy critical states in the XXZ model: integrability and Luttinger theory far from the ground state
    journal, January 2016