Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase space curvature in spin-orbit coupled ultracold atom systems   We consider a system with spin-orbit coupling and derive equations of motion
which include the effects of Berry curvatures. We apply these equations to
investigate the dynamics of particles with equal Rashba-Dresselhaus spin-orbit
coupling in one dimension. In our derivation, the adiabatic transformation is
performed first and leads to quantum Heisenberg equations of motion for
momentum and position operators. These equations explicitly contain
position-space, momentum-space, and phase-space Berry curvature terms.
Subsequently, we perform the semiclassical approximation, and obtain the
semiclassical equations of motion. Taking the low-Berry-curvature limit results
in equations that can be directly compared to previous results for the motion
of wavepackets. Finally, we show that in the semiclassical regime, the
effective mass of the equal Rashba-Dresselhaus spin-orbit coupled system can be
viewed as a direct effect of the phase-space Berry curvature.

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The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg