Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universality and Anomalous Mean-Field Breakdown of Symmetry-Breaking
  Transitions in A Coupled Two-Component Condensate   We study both mean-field and full quantum dynamics of symmetry-breaking
transitions (SBTs) in a coupled two-component Bose-Einstein condensate. By
controlling s-wave scattering lengths and coupling strength, it is possible to
stimulate SBTs between normal and spontaneously polarized ground states. In
static transitions, the probability maxima of full quantum ground states
correspond to the mean-field ground states. In dynamical transitions, due to
the vanishing of excitation gaps, the mean-field dynamics shows universal
scalings obeying Kibble-Zurek mechanism. Both mean-field and full quantum
defect modes appear as damped oscillations, but they appear at different
critical points and undergo different oscillation regimes. The anomalous
breakdown of mean-field dynamics induced by SBTs depends on the approaching
direction.

22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an