Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetry classification and universality in non-Hermitian many-body
  quantum chaos by the Sachdev-Ye-Kitaev model   Spectral correlations are a powerful tool to study the dynamics of quantum
many-body systems. For Hermitian Hamiltonians, quantum chaotic motion is
related to random matrix theory spectral correlations. Based on recent progress
in the application of spectral analysis to non-Hermitian quantum systems, we
show that local level statistics, which probes the dynamics around the
Heisenberg time, of a non-Hermitian $q$-body Sachdev-Ye-Kitev (nHSYK) model
with $N$ Majorana fermions, and its chiral and complex-fermion extensions, are
also well described by random matrix theory for $q > 2$, while for $q = 2$ it
is given by the equivalent of Poisson statistics. For that comparison, we
combine exact diagonalization numerical techniques with analytical results
obtained for some of the random matrix spectral observables. Moreover,
depending on $q$ and $N$, we identify $19$ out of the $38$ non-Hermitian
universality classes in the nHSYK model, including those corresponding to the
tenfold way. In particular, we realize explicitly $14$ out of the $15$
universality classes corresponding to non-pseudo-Hermitian Hamiltonians that
involve universal bulk correlations of classes ${\rm AI}^\dagger$ and ${\rm
AII}^\dagger$, beyond the Ginibre ensembles. These results provide strong
evidence of striking universal features in non-unitary many-body quantum chaos,
which in all cases can be captured by nHSYK models with $q > 2$.

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The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc