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Quantum quenches in disordered systems: approach to thermal equilibrium without a typical relaxation time

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2012-05-15
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Khatami, Ehsan
Rigol, Marcos
García García, Antonio M.
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American Physical Society
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We study spectral properties and the dynamics after a quench of one-dimensional spinless fermions with short-range interactions and long-range random hopping. We show that a sufficiently fast decay of the hopping term promotes localization effects at finite temperature, which prevents thermalization even if the classical motion is chaotic. For slower decays, we find that thermalization does occur. However, within this model, the latter regime falls in an unexpected universality class, namely, observables exhibit a power-law (as opposed to an exponential) approach to their thermal expectation values.
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© 2012 American Physical Society. This research was supported by NSF under Grant No. OCI-0904597 (E. K. and M. R.) and by the U.S. Office of Naval Research (M. R.). A. M. G. acknowledges support from Galileo Galilei Institute, FCT (PTDC/FIS/111348/2009), Marie Curie Action (PIRG07-GA-2010-26817), and EPSRC (EP/I004637/1). A.R. acknowledges support from the Spanish Government Grants No. FIS2009-11621-C02-01 and No. FIS2009-07277.
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