Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic ${\cal PT}$-symmetric coupler   We introduce a stochastic ${\cal PT}$-symmetric coupler, which is based on
dual-core waveguides with fluctuating parameters, such that the gain and the
losses are exactly balanced in average. We consider different parametric
regimes which correspond to the broken and unbroken ${\cal PT}$ symmetry, as
well as to the exceptional point of the underlying deterministic system. We
demonstrate that in all the cases the statistically averaged intensity of the
field grows. This result holds for either linear or nonlinear coupler and is
independent on the type of fluctuations.

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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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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: math-ph
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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: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg