Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pauli crystals -- interplay of symmetries   Recently observed Pauli crystals are structures formed by trapped ultracold
atoms with the Fermi statistics. Interactions between these atoms are switched
off, so their relative positions are determined by joined action of the
trapping potential and the Pauli exclusion principle. Numericalmodeling is used
in this paper to find the Pauli crystals in a two-dimensional isotropic
harmonic trap, three-dimensional harmonic trap, and a two-dimensional square
well trap. The Pauli crystals do not have the symmetry of the trap -- the
symmetry is broken by the measurement of positions and, in many cases, by the
quantum state of atoms in the trap. Furthermore, the Pauli crystals are
compared with the Coulomb crystals formed by electrically charged trapped
particles. The~structure of the Pauli crystals differs from that of the Coulomb
crystals, this provides evidence that the exclusion principle cannot be
replaced by a two-body repulsive interaction but rather has to be considered to
be a specifically quantum mechanism leading to many-particle correlations.

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The categories of this paper are: nlin
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The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
2
The categories of this paper are: math
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph