Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complexified quasinormal modes and the pole-skipping in a holographic
  system at finite chemical potential   We develop a method to study coupled dynamics of gauge-invariant variables,
constructed out of metric and gauge field fluctuations on the background of a
AdS$_5$ Reissner-Nordstr\"om black brane. Using this method, we compute the
numerical spectrum of quasinormal modes associated with fluctuations of spin 0,
1 and 2, non-perturbatively in $\mu/T$. We also analytically compute the
spectrum of hydrodynamic excitations in the small chemical potential limit.
Then, by studying the spectral curve at complex momenta in every spin channel,
we numerically find points at which hydrodynamic and non-hydrodynamic poles
collide. We discuss the relation between such collision points and the
convergence radius of the hydrodynamic derivative expansion. Specifically in
the spin 0 channel, we find that within the range $1.1\lesssim \mu/T\lesssim
2$, the radius of convergence of the hydrodynamic sound mode is set by the
absolute value of the complex momentum corresponding to the point at which the
sound pole collides with the hydrodynamic diffusion pole. It shows that in
holographic systems at finite chemical potential, the convergence of the
hydrodynamic derivative expansion in the mentioned range is fully controlled by
hydrodynamic information. As the last result, we explicitly show that the
relevant information about quantum chaos in our system can be extracted from
the pole-skipping points of energy density response function. We find a
threshold value for $\mu/T$, lower than which the pole-skipping points can be
computed perturbatively in a derivative expansion.

14
The categories of this paper are: math-ph
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org