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Dynamical self-stabilization of the Mott insulator: Time evolution of the density and entanglement entropy of out-of-equilibrium cold fermion gases

Karlsson, Daniel LU ; Verdozzi, Claudio LU ; Odashima, M. M. and Capelle, K. (2011) In Europhysics Letters 93(2).
Abstract
The time evolution of the out-of-equilibrium Mott insulator is investigated numerically through calculations of space-time-resolved density and entropy profiles resulting from the release of a gas of ultracold fermionic atoms from an optical trap. For adiabatic, moderate and sudden switching-off of the trapping potential, the out-of-equilibrium dynamics of the Mott insulator is found to differ profoundly from that of the band insulator and the metallic phase, displaying a self-induced stability that is robust within a wide range of densities, system sizes and interaction strengths. The connection between the entanglement entropy and changes of phase, known for equilibrium situations, is found to extend to the out-of-equilibrium regime.... (More)
The time evolution of the out-of-equilibrium Mott insulator is investigated numerically through calculations of space-time-resolved density and entropy profiles resulting from the release of a gas of ultracold fermionic atoms from an optical trap. For adiabatic, moderate and sudden switching-off of the trapping potential, the out-of-equilibrium dynamics of the Mott insulator is found to differ profoundly from that of the band insulator and the metallic phase, displaying a self-induced stability that is robust within a wide range of densities, system sizes and interaction strengths. The connection between the entanglement entropy and changes of phase, known for equilibrium situations, is found to extend to the out-of-equilibrium regime. Finally, the relation between the system's long time behavior and the thermalization limit is analyzed. Copyright (C) EPLA, 2011 (Less)
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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Europhysics Letters
volume
93
issue
2
publisher
EDP Sciences
external identifiers
  • wos:000287356100011
  • scopus:79952609917
ISSN
0295-5075
DOI
10.1209/0295-5075/93/23003
language
English
LU publication?
yes
id
5fd1900c-6884-4cdf-8abc-a6104b1350aa (old id 1876185)
date added to LUP
2016-04-01 09:59:03
date last changed
2022-01-25 18:38:01
@article{5fd1900c-6884-4cdf-8abc-a6104b1350aa,
  abstract     = {{The time evolution of the out-of-equilibrium Mott insulator is investigated numerically through calculations of space-time-resolved density and entropy profiles resulting from the release of a gas of ultracold fermionic atoms from an optical trap. For adiabatic, moderate and sudden switching-off of the trapping potential, the out-of-equilibrium dynamics of the Mott insulator is found to differ profoundly from that of the band insulator and the metallic phase, displaying a self-induced stability that is robust within a wide range of densities, system sizes and interaction strengths. The connection between the entanglement entropy and changes of phase, known for equilibrium situations, is found to extend to the out-of-equilibrium regime. Finally, the relation between the system's long time behavior and the thermalization limit is analyzed. Copyright (C) EPLA, 2011}},
  author       = {{Karlsson, Daniel and Verdozzi, Claudio and Odashima, M. M. and Capelle, K.}},
  issn         = {{0295-5075}},
  language     = {{eng}},
  number       = {{2}},
  publisher    = {{EDP Sciences}},
  series       = {{Europhysics Letters}},
  title        = {{Dynamical self-stabilization of the Mott insulator: Time evolution of the density and entanglement entropy of out-of-equilibrium cold fermion gases}},
  url          = {{http://dx.doi.org/10.1209/0295-5075/93/23003}},
  doi          = {{10.1209/0295-5075/93/23003}},
  volume       = {{93}},
  year         = {{2011}},
}