Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of a Pair of Interacting Spins Coupled to an Environmental Sea   We solve for the dynamics of a pair of spins, coupled to each other and also
to an environmental sea of oscillators. The environment mediates an indirect
interaction between the spins, causing both mutual coherence effects and
dissipation. This model describes a wide variety of physical systems, ranging
from 2 coupled microscopic systems (eg., magnetic impurities, bromophores,
etc), to 2 coupled macroscopic quantum systems. We obtain analytic results for
3 regimes, viz., (i) The locked regime, where the 2 spins lock together; (ii)
The correlated relaxation regime (mutually correlated incoherent relaxation);
and (iii) The mutual coherence regime, with correlated damped oscillations.
These results cover most of the parameter space of the system.

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The categories of this paper are: q-alg
16
The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-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: cmp-lg
9
The categories of this paper are: nlin