Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistics of work done in degenerate parametric amplification process   We study statistics of work done by two classical electric field pumps
(two-photon and one-photon resonant pumps) on a quantum optical oscillator. We
compute moment generating function for the energy change of the oscillator,
interpreted as work done by the classical drives on the quantum oscillator
starting out in a thermalized Boltzmann state. The moment generating function
is inverted, analytically when only one of the pumps is turned on and
numerically when both the pumps are turned on, to get the probability function
for the work. The resulting probability function for the work done by the
classical drive is shown to satisfy transient detailed and integral work
fluctuation theorems. Interestingly, we find that, in order for the work
distribution function to satisfy the fluctuation theorem in presence of both
the drivings, relative phase of drivings need to be shifted by $\pi$, this is
related to the broken time reversal symmetry of the Hamiltonian.

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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg