Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Markovian Caldeira--Leggett quantum master equation   We obtain a non-Markovian quantum master equation directly from the
quantization of a non-Markovian Fokker-Planck equation describing the Brownian
motion of a particle immersed in a generic environment (e.g. a non-thermal
fluid). As far as the especial case of a heat bath comprising of quantum
harmonic oscillators is concerned, we derive a non-Markovian Caldeira-Leggett
master equation on the basis of which we work out the concept of
non-equilibrium quantum thermal force exerted by the harmonic heat bath upon
the Brownian motion of free particle. The classical limit (or dequantization
process) of this sort of non-equilibrium quantum effect is scrutinized, as
well.

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The categories of this paper are: math
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an