Slow relaxation and sensitivity to disorder in trapped lattice fermions after a quench
| Autor: | Schulz, Maximilian, Moessner, Roderich, Hooley, C. A. |
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| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Phys. Rev. A 94, 063643 (2016) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevA.94.063643 |
| Popis: | 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-site disorder. 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. Comment: 15 pages, 11 figures |
| Databáze: | arXiv |
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