Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical Verification of Fluctuation Dissipation Theorem for Isolated
  Quantum Systems   The fluctuation dissipation theorem~(FDT) is a hallmark of thermal
equilibrium systems in the Gibbs state. We address the question whether the FDT
is obeyed by isolated quantum systems in an energy eigenstate. In the framework
of the eigenstate thermalization hypothesis, we derive the formal expression
for two-time correlation functions in the energy eigenstates or in the diagonal
ensemble. They satisfy the Kubo-Martin-Schwinger condition, which is the
sufficient and necessary condition for the FDT, in the infinite system size
limit. We also obtain the finite size correction to the FDT for finite-sized
systems. With extensive numerical works for the XXZ spin chain model, we
confirm our theory for the FDT and the finite size correction. Our results can
serve as a guide line for an experimental study of the FDT on a finite-sized
system.

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The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph