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Slow relaxation and sensitivity to disorder in trapped lattice fermions after a quench

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Author(s)

M. Schulz, C. A. Hooley, R. Moessner

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Abstract

We consider a system of non-interacting fermions in one dimension subject to a single-particle potential consisting of (a) a strong optical lattice, (b) a harmonic trap, and (c) uncorrelated on-sited is order. After a quench, in which the center of the harmonic trap is displaced, we study the occupation function of the fermions and the time-evolution of experimental observables. Specifically, we present numerical and analytical results for the post-quench occupation function of the fermions,and analyse the time-evolution of the real-space density profile. Unsurprisingly for a non-interacting(and therefore integrable) system, the infinite-time limit of the density profile is non-thermal. However,due to Bragg-localization of the higher-energy single-particle states, the approach to even this non-thermal state is extremely slow. We quantify this statement, and show that it implies a sensitivity to disorder parametrically stronger than that expected from Anderson localization.
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Original languageEnglish
Article number063643
JournalPhysical Review. A, Atomic, molecular, and optical physics
Volume94
Issue number6
DOIs
Publication statusPublished - 27 Dec 2016

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