Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mechanism of slow equilibration of isolated quantum systems   We discuss the approach toward equilibrium of an isolated quantum system. For
a wide class of systems we argue that the time-averaged expectation value of a
local operator in any initial state is bounded by the so-called deviation
function, which characterizes maximal deviation from the equilibrium for all
states with a given value of energy fluctuations. We provide numerical evidence
that the bound is approximately saturated by the initial configurations with
spatial inhomogeneities at macroscopic level. In this way the deviation
function establishes an explicit connection between the macroscopically
observed timescales associated with transport and properties of microscopic
matrix elements. The form of the deviation function indicates that among the
slowest states which saturate the bound there are also those with arbitrarily
long equilibration times.

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The categories of this paper are: eess
26
The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph