Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum catastrophes and ergodicity in the dynamics of bosonic Josephson
  junctions   We study rainbow (fold) and cusp catastrophes that form in Fock space
following a quench in a Bose Josephson junction. In the Gross-Pitaevskii
mean-field theory the rainbows are singular caustics, but in the
second-quantized theory a Poisson resummation of the wave function shows that
they are described by well behaved Airy functions. The structural stability of
these Fock space caustics against variations in the initial conditions and
Hamiltonian evolution is guaranteed by catastrophe theory. We also show that
the long-time dynamics are ergodic. Our results are relevant to the question
posed by Berry [M.V. Berry, Nonlinearity 21, T19 (2008)]: are there
circumstances when it is necessary to second-quantize wave theory in order to
avoid singularities?

15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th