Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Heavy-tailed phase-space distributions beyond Boltzmann-Gibbs and
  equipartition: Statistics of confined cold atoms   The Boltzmann-Gibbs density, a central result of equilibrium statistical
mechanics, relates the energy of a system in contact with a thermal bath to its
equilibrium statistics. This relation is lost for non-thermal systems such as
cold atoms in optical lattices, where the heat bath is replaced by the laser
beams of the lattice. We investigate in detail the stationary phase-space
probability for Sisyphus cooling under harmonic confinement. In particular, we
elucidate whether the total energy of the system still describes its stationary
state statistics. We find that this is true for the center part of the
phase-space density for deep lattices, where the Boltzmann-Gibbs density
provides an approximate description. The relation between energy and statistics
also persists for strong confinement and in the limit of high energies, where
the system becomes underdamped. However, the phase-space density now exhibits
heavy power-law tails. In all three cases we find expressions for the leading
order phase-space density and corrections which break the equivalence of
probability and energy and violate energy equipartition. The non-equilibrium
nature of the steady state is confounded by explicit violations of detailed
balance. We complement these analytical results with numerical simulations to
map out the intricate structure of the phase-space density.

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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
1
The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an