Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral Gaps of Spin-orbit Coupled Particles in Deformed Traps   We consider a spin-orbit coupled system of particles in an external trap that
is represented by a deformed harmonic oscillator potential. The spin-orbit
interaction is a Rashba interaction that does not commute with the trapping
potential and requires a full numerical treatment in order to obtain the
spectrum. The effect of a Zeeman term is also considered. Our results
demonstrate that variable spectral gaps occur as a function of strength of the
Rashba interaction and deformation of the harmonic trapping potential. The
single-particle density of states and the critical strength for superfluidity
vary tremendously with the interaction parameter. The strong variations with
Rashba coupling and deformation implies that the few- and many-body physics of
spin-orbit coupled systems can be manipulated by variation of these parameters.

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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: math
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int