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Slow relaxation and sensitivity to disorder in trapped lattice fermions after a quench
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dc.contributor.author | Schulz, M. | |
dc.contributor.author | Hooley, C. A. | |
dc.contributor.author | Moessner, R. | |
dc.date.accessioned | 2016-12-21T16:30:09Z | |
dc.date.available | 2016-12-21T16:30:09Z | |
dc.date.issued | 2016-12-27 | |
dc.identifier | 248462990 | |
dc.identifier | 61dcece3-cfea-4a37-881b-a3b0b6891b08 | |
dc.identifier | 85010000360 | |
dc.identifier | 000390960500023 | |
dc.identifier.citation | Schulz , M , Hooley , C A & Moessner , R 2016 , ' Slow relaxation and sensitivity to disorder in trapped lattice fermions after a quench ' , Physical Review. A, Atomic, molecular, and optical physics , vol. 94 , no. 6 , 063643 . https://doi.org/10.1103/PhysRevA.94.063643 | en |
dc.identifier.issn | 1050-2947 | |
dc.identifier.other | ORCID: /0000-0002-9976-2405/work/30066614 | |
dc.identifier.uri | https://hdl.handle.net/10023/10000 | |
dc.description | M.S. acknowledges support from Engineering and Physical Sciences Research Council (EPSRC) (United Kingdom) via the CM-CDT program, Grant No. EP/L015110/1. C.A.H.’s work on this paper was performed in part at the Aspen Center for Physics, which is supported by NSF Grant No. PHY-1066293. He is grateful to them for their hospitality. He is also thankful for ongoing support from the EPSRC (United Kingdom) via the TOPNES program, Grant No. EP/I031014/1. | en |
dc.description.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. | |
dc.format.extent | 715658 | |
dc.language.iso | eng | |
dc.relation.ispartof | Physical Review. A, Atomic, molecular, and optical physics | en |
dc.subject | QC Physics | en |
dc.subject | TK Electrical engineering. Electronics Nuclear engineering | en |
dc.subject | NDAS | en |
dc.subject.lcc | QC | en |
dc.subject.lcc | TK | en |
dc.title | Slow relaxation and sensitivity to disorder in trapped lattice fermions after a quench | en |
dc.type | Journal article | en |
dc.contributor.sponsor | EPSRC | en |
dc.contributor.sponsor | EPSRC | en |
dc.contributor.institution | University of St Andrews. School of Physics and Astronomy | en |
dc.contributor.institution | University of St Andrews. Condensed Matter Physics | en |
dc.identifier.doi | https://doi.org/10.1103/PhysRevA.94.063643 | |
dc.description.status | Peer reviewed | en |
dc.identifier.grantnumber | EP/L015110/1 | en |
dc.identifier.grantnumber | EP/I031014/1 | en |
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