Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum to classical crossover in many-body chaos and scrambling from
  relaxation in a glass   Chaotic quantum systems with Lyapunov exponent $\lambda_\mathrm{L}$ obey an
upper bound $\lambda_\mathrm{L}\leq 2\pi k_\mathrm{B}T/\hbar$ at temperature
$T$, implying a divergence of the bound in the classical limit $\hbar\to 0$.
Following this trend, does a quantum system necessarily become `more chaotic'
when quantum fluctuations are reduced? Moreover, how do symmetry breaking and
associated non-trivial dynamics influence the interplay of quantum mechanics
and chaos? We explore these questions by computing
$\lambda_\mathrm{L}(\hbar,T)$ in the quantum spherical $p$-spin glass model,
where $\hbar$ can be continuously varied. We find that quantum fluctuations, in
general, make paramagnetic phase less and the replica symmetry-broken spin
glass phase more chaotic. We show that the approach to the classical limit
could be non-trivial, with non-monotonic dependence of $\lambda_\mathrm{L}$ on
$\hbar$ close to the dynamical glass transition temperature $T_d$. Our results
in the classical limit ($\hbar\to 0$) naturally describe chaos in super-cooled
liquid in structural glasses. We find a maximum in $\lambda_\mathrm{L}(T)$
substantially above $T_d$, concomitant with the crossover from simple to slow
glassy relaxation. We further show that $\lambda_\mathrm{L}\sim T^\alpha$, with
the exponent $\alpha$ varying between 2 and 1 from quantum to classical limit,
at low temperatures in the spin glass phase.

18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con