Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fidelity susceptibility and topological phase transition of a two
  dimensional spin-orbit coupled Fermi superfluid   We investigate the fidelity susceptibility (FS) of a two-dimensional
spin-orbit coupled (SOC) Fermi superfluid and the topological phase transition
driven by a Zeeman field in the perspective of its ground-state wave-function.
Without Zeeman coupling, FS shows new features characterizing the BCS-BEC
crossover induced by SOC. In the presence of a Zeeman field, the topological
phase transition is explored using both FS and the topological invariant. In
particular, we obtain the analytical result of the topological invariant which
explicitly demonstrates that the topological phase transition corresponds to a
sudden change of the ground state wave-function. Consequently, FS diverges at
the phase transition point with its critical behavior being: $\chi \propto
ln|h-h_{c}|$ . Based on this observation, we conclude that the topological
phase transition can be detected by measuring the momentum distribution in cold
atoms experiment.

14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio