Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Open quantum system dynamics and the mean force Gibbs state   The dynamical convergence of a system to the thermal distribution, or Gibbs
state, is a standard assumption across all of the physical sciences. The Gibbs
state is determined just by temperature and the system's energies alone. But at
decreasing system sizes, i.e. for nanoscale and quantum systems, the
interaction with their environments is not negligible. The question then
arises: Is the system's steady state still the Gibbs state? And if not, how may
the steady state depend on the interaction details? Here we provide an overview
of recent progress on answering these questions. We expand on the
state-of-the-art along two general avenues: First we take the static
point-of-view which postulates the so-called mean force Gibbs state. This view
is commonly adopted in the field of strong coupling thermodynamics, where
modified laws of thermodynamics and non-equilibrium fluctuation relations are
established on the basis of this modified state. Second, we take the dynamical
point-of-view, originating from the field of open quantum systems, which
examines the time-asymptotic steady state within two paradigms. We describe the
mathematical paradigm which proves return to equilibrium, i.e. convergence to
the mean force Gibbs state, and then discuss a number of microscopic physical
methods, particularly master equations. We conclude with a summary of
established links between statics and equilibration dynamics, and provide an
extensive list of open problems. This comprehensive overview will be of
interest to researchers in the wider fields of quantum thermodynamics, open
quantum systems, mesoscopic physics, statistical physics and quantum optics,
and will find applications whenever energy is exchanged on the nanoscale, from
quantum chemistry and biology, to magnetism and nanoscale heat management.

12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
3
The categories of this paper are: physics
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The categories of this paper are: econ