Deviations from Boltzmann-Gibbs statistics in confined optical lattices

Andreas Dechant, David A. Kessler, Eli Barkai

研究成果: Article

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We investigate the semiclassical phase-space probability distribution P(x,p) of cold atoms in a Sisyphus cooling lattice with an additional harmonic confinement. We pose the question of whether this nonequilibrium steady state satisfies the equivalence of energy and probability. This equivalence is the foundation of Boltzmann-Gibbs and generalized thermostatic statistics, and a prerequisite for the description in terms of a temperature. At large energies, P(x,p) depends only on the Hamiltonian H(x,p) and the answer to the question is yes. In distinction to the Boltzmann-Gibbs state, the large-energy tails are power laws P(x,p)∞H(x,p)-1/D, where D is related to the depth of the optical lattice. At intermediate energies, however, P(x,p) cannot be expressed as a function of the Hamiltonian and the equivalence between energy and probability breaks down. As a consequence the average potential and kinetic energy differ and no well-defined temperature can be assigned. The Boltzmann-Gibbs state is regained only in the limit of deep optical lattices. For strong confinement relative to the damping, we derive an explicit expression for the stationary phase-space distribution.

元の言語English
記事番号173006
ジャーナルPhysical Review Letters
115
発行部数17
DOI
出版物ステータスPublished - 2015 10 23
外部発表Yes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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