Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Out-of-equilibrium dynamics of multiple second-order quantum phase
  transitions in extended Bose-Hubbard model: Superfluid, supersolid and
  density wave   In this paper, we study the dynamics of the Bose-Hubbard model with the
nearest-neighbor repulsion by using time-dependent Gutzwiller methods. Near the
unit filling, the phase diagram of the model contains density wave (DW),
supersolid (SS) and superfluid (SF). The three phases are separated by two
second-order phase transitions. We study "slow-quench" dynamics by varying the
hopping parameter in the Hamiltonian as a function of time. In the phase
transitions from the DW to SS and from the DW to SF, we focus on how the SF
order forms and study scaling laws of the SF correlation length, vortex
density, etc. The results are compared with the Kibble-Zurek scaling. On the
other hand from the SF to DW, we study how the DW order evolves with generation
of the domain walls and vortices. Measurement of first-order SF coherence
reveals interesting behavior in the DW regime.

16
The categories of this paper are: stat
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math