Title
Stationary ensemble approximations of dynamic quantum states : optimizing the generalized Gibbs ensembleStationary ensemble approximations of dynamic quantum states : optimizing the generalized Gibbs ensemble
Author
Faculty/Department
Faculty of Sciences. Physics
Research group
Theory of quantum systems and complex systems
Publication type
article
Publication
Lancaster, Pa,
Subject
Physics
Source (journal)
Physical review : E : statistical physics, plasmas, fluids, and related interdisciplinary topics. - Lancaster, Pa, 1993 - 2000
Volume/pages
92(2015):2, 6 p.
ISSN
1063-651X
1095-3787
1539-3755
Article Reference
022123
Carrier
E-only publicatie
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
In this work we investigate the nonequilibrium dynamics of closed quantum systems. In particular we focus on the stationary properties of integrable systems. Here we show how a generalized Gibbs ensemble (GGE) can be constructed as the best approximation to the time-dependent density matrix. Our procedure allows for a systematic construction of the GGE by a constrained minimization of the distance between the latter and the true state. Moreover, we show that the entropy of the GGE is a direct measure for the quality of the approximation. We apply our method to a quenched hard core Bose gas. Whereas a correlated GGE properly describes all stationary nonlocal correlations, a simple harmonic GGE is sufficient to completely describe reduced local states.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/6cbe5e/180387ab.pdf
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