Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Verifying the upper bound on the speed of scrambling with the analogue
  Hawking radiation of trapped ions   A general bound on the Lyapunov exponent of a quantum system is given by
$\lambda_L\leq2\pi\,T/\hbar$, where $T$ is the system temperature, as
established by Maldacena, Shenker, and Stanford (MSS). This upper bound is
saturated when the system under consideration is the exact holographic dual of
a black hole. It has also been shown that an inverted harmonic oscillator (IHO)
may exhibit the behavior of thermal energy emission, in close analogy to the
Hawking radiation emitted by black holes. We demonstrate that the Lyapunov
exponent of the IHO indeed saturates the MSS bound, with an effective
temperature equal to the analogue black hole radiation temperature, and propose
using a trapped ion as a physical implementation of the IHO. We derive the
corresponding out-of-time-ordered correlation function (OTOC) diagnosing
quantum chaos, and theoretically show, for an experimentally realizable setup,
that the effective temperature of the trapped-ion-IHO matches the upper MSS
bound for the speed of scrambling.

11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci