Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral Filtering Induced by Non-Hermitian Evolution with Balanced Gain
  and Loss: Enhancing Quantum Chaos   The dynamical signatures of an isolated quantum chaotic system are captured
by the spectral form factor, which exhibits as a function of time a dip, a
ramp, and a plateau, with the ramp being governed by the correlations in the
level spacing distribution. These dynamical signatures are generally suppressed
by decoherence. We consider the nonlinear non-Hermitian evolution associated
with balanced gain and loss (BGL) in an energy-dephasing scenario and show that
dissipation in this setting enhances manifestations of quantum chaos. Using the
Sachdev-Ye-Kitaev model as a test-bed, BGL is shown to increase the span of the
ramp, lowering the dip as well as the value of the plateau, providing an
experimentally realizable physical mechanism for spectral filtering. The
enhancement due to BGL is shown to be optimal with respect to the choice of the
filter function.

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The categories of this paper are: physics
24
The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas