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dc.identifier.uri http://dx.doi.org/10.15488/526
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/550
dc.contributor.author Farrelly, Terry
dc.date.accessioned 2016-09-12T13:13:52Z
dc.date.available 2016-09-12T13:13:52Z
dc.date.issued 2016
dc.identifier.citation Farrelly, Terry: Equilibration of quantum gases. In: New Journal of Physics 18 (2016), Nr. 7, 73014. DOI: http://dx.doi.org/10.1088/1367-2630/18/7/073014
dc.description.abstract Finding equilibration times is a major unsolved problem in physics with few analytical results. Here we look at equilibration times for quantum gases of bosons and fermions in the regime of negligibly weak interactions, a setting which not only includes paradigmatic systems such as gases confined to boxes, but also Luttinger liquids and the free superfluid Hubbard model. To do this, we focus on two classes of measurements: (i) coarse-grained observables, such as the number of particles in a region of space, and (ii) few-mode measurements, such as phase correlators.Weshow that, in this setting, equilibration occurs quite generally despite the fact that the particles are not interacting. Furthermore, for coarse-grained measurements the timescale is generally at most polynomial in the number of particles N, which is much faster than previous general upper bounds, which were exponential in N. For local measurements on lattice systems, the timescale is typically linear in the number of lattice sites. In fact, for one-dimensional lattices, the scaling is generally linear in the length of the lattice, which is optimal. Additionally, we look at a few specific examples, one of which consists ofNfermions initially confined on one side of a partition in a box. The partition is removed and the fermions equilibrate extremely quickly in time O(1 N). eng
dc.description.sponsorship ERC/QFTCMPS
dc.description.sponsorship ERC/SIQS
dc.description.sponsorship ERC/EXC201
dc.language.iso eng
dc.publisher Bristol : IOP Publishing Ltd.
dc.relation.ispartofseries New Journal of Physics 18 (2016), Nr. 7
dc.rights CC BY 3.0
dc.rights.uri https://creativecommons.org/licenses/by/3.0/
dc.subject quantum statistical physics eng
dc.subject quantum information eng
dc.subject quantum mechanics eng
dc.subject.ddc 530 | Physik ger
dc.title Equilibration of quantum gases
dc.type article
dc.type Text
dc.relation.issn 1367-2630
dc.relation.doi http://dx.doi.org/10.1088/1367-2630/18/7/073014
dc.bibliographicCitation.issue 7
dc.bibliographicCitation.volume 18
dc.bibliographicCitation.firstPage 73014
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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