Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Macrostate equivalence of two general ensembles and specific relative
  entropies   The two criteria of ensemble equivalence, i.e. the macrostate equivalence and
the measure equivalence, are investigated for a general pair of states. The
macrostate equivalence implies the two ensembles are indistinguishable by the
measurement of macroscopic quantities obeying the large-deviation principle,
and the measure equivalence means that the specific relative entropy of these
two states vanishes in the thermodynamic limit. It is shown that the measure
equivalence implies the macrostate equivalence for a general pair of states by
deriving an inequality connecting the large-deviation rate functions to the
specific relative Renyi entropies. The result is applicable to both quantum and
classical systems. As applications, a sufficient condition for thermalization,
the timescale of quantum dynamics of macrovariables, and the second law with
strict irreversibility in a quantum quench are discussed.

15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat