Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bosons with incommensurate potential and spin-orbit coupling   We chart out the phase diagram of ultracold `spin-half' bosons in a
one-dimensional optical lattice in the presence of Aubry-Andr\'e (AA) potential
and with spin-orbit (SO) and Raman couplings investigating the transition from
superfluid (SF) to localized phases and the existence of density wave phase for
nearest-neighbor interaction (NNI). We show that the presence of SO coupling
and AA potential leads to a novel spin-split momentum distribution of the
bosons in the localized phase near the boundary with the SF phase, which can
act as a signature of such a transition. We also obtain the level statistics of
the bosons in the superfluid phase with finite NNI and demonstrate its change
from Gaussian Unitary Ensemble (GUE) to Gaussian Orthogonal Ensemble (GOE) as a
function of the Raman coupling. We discuss experiments which can test our
theory.

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The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: econ