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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

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Sum total of downloads: 80




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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).
License of this version: CC BY 3.0
Document Type: article
Publishing status: publishedVersion
Issue Date: 2016
Appears in Collections:Fakultät für Mathematik und Physik

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1 image of flag of Germany Germany 64 80.00%
2 image of flag of China China 6 7.50%
3 image of flag of Japan Japan 4 5.00%
4 image of flag of United States United States 1 1.25%
5 image of flag of Netherlands Netherlands 1 1.25%
6 image of flag of Latvia Latvia 1 1.25%
7 image of flag of Italy Italy 1 1.25%
8 image of flag of Canada Canada 1 1.25%
9 image of flag of Brazil Brazil 1 1.25%

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