Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Heat conservation and fluctuations between quantum reservoirs in the
  Two-Time Measurement picture   This work concerns the statistics of the Two-Time Measurement definition of
heat variation in each reservoir of a thermodynamic quantum system. We study
the cumulant generating function of the heat flows in the thermodynamic and
large-time limits. It is well-known that, if the system is time-reversal
invariant, this cumulant generating function satisfies the celebrated
Evans--Searles symmetry. We show in addition that, under appropriate
ultraviolet regularity assumptions on the local interaction between the
reservoirs, it satisfies a translation-invariance property, as proposed in
[Andrieux et al. New J. Phys. 2009]. We particularly fix some proofs of the
latter article where the ultraviolet condition was not mentioned. We detail how
these two symmetries lead respectively to fluctuation relations and a
statistical refinement of heat conservation for isolated thermodynamic quantum
systems. As in [Andrieux \emph{et al.} New J. Phys. 2009], we recover the
Fluctuation-Dissipation Theorem in the linear response theory, short of
Green--Kubo relations. We illustrate the general theory on a number of
canonical models.

12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom