Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strong Eigenstate Thermalization within a Generalized Shell in
  Noninteracting Integrable Systems   Integrable systems do not obey the strong eigenstate thermalization
hypothesis (ETH), which has been proposed as a mechanism of thermalization in
isolated quantum systems. It has been suggested that an integrable system
reaches a steady state described by a generalized Gibbs ensemble (GGE) instead
of thermal equilibrium. We prove that a generalized version of the strong ETH
holds for noninteracting integrable systems with translation invariance. Our
generalized ETH states that any pair of energy eigenstates with similar values
of local conserved quantities looks similar with respect to local observables,
such as local correlations. This result tells us that an integrable system
relaxes to a GGE for any initial state that has subextensive fluctuations of
macroscopic local conserved quantities. Contrary to the previous derivations of
the GGE, it is not necessary to assume the cluster decomposition property for
an initial state.

20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
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
35
The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph