Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak invariants, temporally-local equilibria, and isoenergetic processes
  described by the Lindblad equation   The concept of weak invariants is examined in the thermodynamic context.
Discussions are made about the temporally-local equilibrium states, corrections
to them, and isoenergetic processes based on the quantum master equations of
the Lindblad type that admit time-dependent Hamiltonians as weak invariants.
The method for determining the correction presented here may be thought of as a
quantum-mechanical analog of the Chapman-Enskog expansion in nonequilibrium
classical statistical mechanics. Then, the theory is applied to the
time-dependent harmonic oscillator as a simple example, and the power output
and the work along an isoenergetic process are evaluated within the framework
of finite-time quantum thermodynamics.

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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org