Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complex Classical Mechanics of a QES Potential   We consider a Parity-time (PT) invariant non-Hermitian quasi-exactly solvable
(QES) potential which exhibits PT phase transition. We numerically study this
potential in a complex plane classically to demonstrate different quantum
effects. The particle with real energy makes closed orbits around one of the
periodic wells of the complex potential depending on the initial condition.
However interestingly the particle can have open orbits even with real energy
if it is initially placed in certain region between the two wells on the same
side of the imaginary axis. On the other hand when the particle energy is
complex the trajectory is open and the particle tunnels back and forth between
two wells which are separated by a classically forbidden path. The tunneling
time is calculated for different pair of wells and is shown to vary inversely
with the imaginary component of energy. At the classical level unlike the
analogous quantum situation we do not see any qualitative differences in the
features of the particle dynamics for PT symmetry broken and unbroken phases.

17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex