Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: BROTOCs and Quantum Information Scrambling at Finite Temperature   Out-of-time-ordered correlators (OTOCs) have been extensively studied in
recent years as a diagnostic of quantum information scrambling. In this paper,
we study quantum information-theoretic aspects of the regularized
finite-temperature OTOC. We introduce analytical results for the bipartite
regularized OTOC (BROTOC): the regularized OTOC averaged over random unitaries
supported over a bipartition. We show that the BROTOC has several interesting
properties, for example, it quantifies the purity of the associated thermofield
double state and the ``operator purity'' of the analytically continued
time-evolution operator. At infinite-temperature, it reduces to one minus the
operator entanglement of the time-evolution operator. In the zero-temperature
limit and for nondegenerate Hamiltonians, the BROTOC probes the groundstate
entanglement. In fact, the equilibration value of the BROTOC is intimately
related to eigenstate entanglement. Finally, we study the equilibration value
of the BROTOC in various physically relevant Hamiltonian models and comment on
its ability to distinguish integrable and chaotic dynamics.

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The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex