Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coherent Destruction of Tunneling in a Two Electron Double Quantum Dot:
  Interplay of Coulomb interaction, spin-orbit interaction and AC field   We study a double quantum dot system with two interacting electrons in the
presence of a time-dependent periodic (AC) electric field and spin-orbit
interaction. We focus on the phenomenon of Coherent Destruction of Tunneling
(CDT) for an initially localized state. Because of the periodicity introduced
by the AC field we use Floquet theory to find quasi energies with their
crossing and anti-crossing points corresponding to CDT . We observe that the AC
field rescales the spin orbit and hopping amplitudes in terms of Bessel
functions. The zeros of the Bessel functions are of the form of a ratio of AC
field strength to its frequency and quasi energies at these points form
anti-crossings in our case. We first prepare the system in a triplet state and
study the evolution of its probability in the presence of spin-orbit
interaction alone. We observe an oscillatory behavior which indicates spin flip
transitions. However when the AC field is turned on the probability
oscillations are highly suppressed at anti-crossing points leading to
localization of initial state and the state retains its memory of spin even in
the presence of spin flip interaction.

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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas