Single-particle and many-body analyses of a quasiperiodic integrable system after a quench

He, Kai, Santos, Lea F., Wright, Tod M. and Rigol, Marcos (2013) Single-particle and many-body analyses of a quasiperiodic integrable system after a quench. Physical Review A: Atomic, Molecular and Optical Physics, 87 6: 063637-1-063637-14. doi:10.1103/PhysRevA.87.063637

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Author He, Kai
Santos, Lea F.
Wright, Tod M.
Rigol, Marcos
Title Single-particle and many-body analyses of a quasiperiodic integrable system after a quench
Journal name Physical Review A: Atomic, Molecular and Optical Physics   Check publisher's open access policy
ISSN 1050-2947
Publication date 2013-06-01
Sub-type Article (original research)
DOI 10.1103/PhysRevA.87.063637
Open Access Status File (Publisher version)
Volume 87
Issue 6
Start page 063637-1
End page 063637-14
Total pages 14
Place of publication College Park, MD, United States
Publisher American Physical Society
Language eng
Formatted abstract
In general, isolated integrable quantum systems have been found to relax to an apparent equilibrium state in which the expectation values of few-body observables are described by the generalized Gibbs ensemble. However, recent work has shown that relaxation to such a generalized statistical ensemble can be precluded by localization in a quasiperiodic lattice system. Here we undertake complementary single-particle and many-body analyses of noninteracting spinless fermions and hard-core bosons within the Aubry-André model to gain insight into this phenomenon. Our investigations span both the localized and delocalized regimes of the quasiperiodic system, as well as the critical point separating the two. Considering first the case of spinless fermions, we study the dynamics of the momentum distribution function and characterize the effects of real-space and momentum-space localization on the relevant single-particle wave functions and correlation functions. We show that although some observables do not relax in the delocalized and localized regimes, the observables that do relax in these regimes do so in a manner consistent with a recently proposed Gaussian equilibration scenario, whereas relaxation at the critical point has a more exotic character. We also construct various statistical ensembles from the many-body eigenstates of the fermionic and bosonic Hamiltonians and study the effect of localization on their properties.
Keyword Finite Fermi systems
Nuclear shell-model
Interacting particles
Information theory
Ultracold gases
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2014 Collection
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Citation counts: TR Web of Science Citation Count  Cited 29 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 25 times in Scopus Article | Citations
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