Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Impact of chaos on precursors of quantum criticality   Excited-state quantum phase transitions (ESQPTs) are critical phenomena that
generate singularities in the spectrum of quantum systems. {For systems with a
classical counterpart,} these phenomena have their origin in the classical
limit when the separatrix of an unstable periodic orbit divides phase space
into different regions. Using a semiclassical theory of wave propagation based
on the manifolds of unstable periodic orbits, we describe the quantum states
associated with an ESQPT {for the quantum standard map: a paradigmatic example
of a kicked quantum system}. {Moreover, we show that finite-size precursors of
ESQPTs shrink as chaos increases due to the disturbance of the system. This
phenomenon is explained through destructive interference between principal
homoclinic orbits}

34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas