Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universality of Quantum Information in Chaotic CFTs   We study the Eigenstate Thermalization Hypothesis (ETH) in chaotic conformal
field theories (CFTs) of arbitrary dimensions. Assuming local ETH, we compute
the reduced density matrix of a ball-shaped subsystem of finite size in the
infinite volume limit when the full system is an energy eigenstate. This
reduced density matrix is close in trace distance to a density matrix, to which
we refer as the ETH density matrix, that is independent of all the details of
an eigenstate except its energy and charges under global symmetries. In two
dimensions, the ETH density matrix is universal for all theories with the same
value of central charge. We argue that the ETH density matrix is close in trace
distance to the reduced density matrix of the (micro)canonical ensemble. We
support the argument in higher dimensions by comparing the Von Neumann entropy
of the ETH density matrix with the entropy of a black hole in holographic
systems in the low temperature limit. Finally, we generalize our analysis to
the coherent states with energy density that varies slowly in space, and show
that locally such states are well described by the ETH density matrix.

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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: q-alg
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The categories of this paper are: math
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org