Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamical quantum phase transition in a bosonic system with long-range
  interactions   In this paper, we investigate the dynamical quantum phase transitions
appearing in the Loschmidt echo and the time-dependent order parameter of a
quantum system of harmonically coupled degenerate bosons as a function of the
power-law decay $\sigma$ of long-range interactions. Following a sudden quench,
the nonequilibrium dynamics of this system are governed by a set of nonlinear
coupled Ermakov equations. To solve them, we develop an analytical
approximation valid at late times. Based on this approximation, we show that
the emergence of a dynamical quantum phase transition hinges on the generation
of a finite mass gap following the quench, starting from a massless initial
state. In general, we can define two distinct dynamical phases characterized by
the finiteness of the post-quench mass gap. The Loschmidt echo exhibits
periodical nonanalytic cusps whenever the initial state has a vanishing mass
gap and the final state has a finite mass gap. These cusps are shown to
coincide with the maxima of the time-dependent long-range correlations.

29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio