Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interaction-induced long-time tail of a nonlinear ac absorption in a
  localized system: a relay-race mechanism   In conventional solid-state electron systems with localized states the ac
absorption is linear since the inelastic widths of the energy levels exceeds
the drive amplitude. The situation is different in the systems of cold atoms in
which phonons are absent. Then even a weak drive leads to saturation of the ac
absorption within resonant pairs, so that the population of levels oscillates
with the Rabi frequency. We demonstrate that, in the presence of weak
dipole-dipole interactions, the response of the system acquires a long-time
component which oscillates with frequency much smaller than the Rabi frequency.
The underlying mechanism of this long-time behavior is that the fields created
in the course of the Rabi oscillations serve as resonant drive for the
second-generation Rabi oscillations in pairs with level spacings close to the
Rabi frequency. The frequency of the second-generation oscillations is of the
order of interaction strength. As these oscillations develop, they can initiate
the next-generation Rabi oscillations, and so on. Formation of the
second-generation oscillations is facilitated by the non-diagonal component of
the dipole-dipole interaction tensor.

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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: econ