Nonequilibrium dynamics of one-dimensional hard-core anyons following a quench: complete relaxation of one-body observables

Wright, Tod M., Rigol, Marcos, Davis, Matthew J. and Kheruntsyan, Karén V. (2014) Nonequilibrium dynamics of one-dimensional hard-core anyons following a quench: complete relaxation of one-body observables. Physical Review Letters, 113 5: . doi:10.1103/PhysRevLett.113.050601

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Author Wright, Tod M.
Rigol, Marcos
Davis, Matthew J.
Kheruntsyan, Karén V.
Title Nonequilibrium dynamics of one-dimensional hard-core anyons following a quench: complete relaxation of one-body observables
Journal name Physical Review Letters   Check publisher's open access policy
ISSN 1079-7114
0031-9007
Publication date 2014-08-01
Year available 2014
Sub-type Article (original research)
DOI 10.1103/PhysRevLett.113.050601
Open Access Status File (Publisher version)
Volume 113
Issue 5
Total pages 5
Place of publication College Park, MD, United States
Publisher American Physical Society
Collection year 2015
Language eng
Abstract We demonstrate the role of interactions in driving the relaxation of an isolated integrable quantum system following a sudden quench. We consider a family of integrable hard-core lattice anyon models that continuously interpolates between noninteracting spinless fermions and strongly interacting hard-core bosons. A generalized Jordan-Wigner transformation maps the entire family to noninteracting fermions. We find that, aside from the singular free-fermion limit, the entire single-particle density matrix and, therefore, all one-body observables relax to the predictions of the generalized Gibbs ensemble (GGE). This demonstrates that, in the presence of interactions, correlations between particles in the many-body wave function provide the effective dissipation required to drive the relaxation of all one-body observables to the GGE. This relaxation does not depend on translational invariance or the tracing out of any spatial domain of the system.
Keyword Quench
One-body observables
Anyons
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes ARTICLE ID: 050601

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2015 Collection
 
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