Quenches in a quasidisordered integrable lattice system: Dynamics and statistical description of observables after relaxation

Christian Gramsch and Marcos Rigol
Phys. Rev. A 86, 053615 – Published 16 November 2012

Abstract

We study the dynamics and the resulting state after relaxation in a quasidisordered integrable lattice system after a sudden quench. Specifically, we consider hard-core bosons in an isolated one-dimensional geometry in the presence of a quasiperiodic potential whose strength is abruptly changed to take the system out of equilibrium. In the delocalized regime, we find that the relaxation dynamics of one-body observables, such as the density, the momentum distribution function, and the occupation of the natural orbitals, follow, to a good approximation, power laws. In that regime, we also show that the observables after relaxation can be described by the generalized Gibbs ensemble, while such a description fails for the momentum distribution and the natural orbital occupations in the presence of localization. At the critical point, the relaxation dynamics is found to be slower than in the delocalized phase.

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  • Received 15 June 2012

DOI:https://doi.org/10.1103/PhysRevA.86.053615

©2012 American Physical Society

Authors & Affiliations

Christian Gramsch1,2 and Marcos Rigol1,3

  • 1Department of Physics, Georgetown University, Washington, DC 20057, USA
  • 2Theoretical Physics III, Center for Electronic Correlations and Magnetism, Institute of Physics, University of Augsburg, 86135 Augsburg, Germany
  • 3Physics Department, The Pennsylvania State University, 104 Davey Laboratory, University Park, Pennsylvania 16802, USA

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Issue

Vol. 86, Iss. 5 — November 2012

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