Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Damping of the Higgs and Nambu-Goldstone modes of superfluid Bose gases
  at finite temperatures   We study collective modes of superfluid Bose gases in optical lattices at
commensurate fillings. We focus on the vicinity of the quantum phase transition
to the Mott insulator, where there exists the Higgs amplitude mode in addition
to the Nambu-Goldstone phase mode associated with the spontaneous U(1) symmetry
breaking. We analyze finite-temperature effects on the damping of the
collective modes by using an effective spin-1 model and the field theoretical
methods based on the finite-temperature Green's function. We calculate the
damping rates up to 1-loop order and evaluate them analytically and
numerically. We show that the damping rate of the Higgs mode increases with
increasing the temperature but it remains underdamped up to a typical
temperature achieved in experiments. Moreover, we find that the Nambu-Goldstone
mode attenuates via a Landau damping process resulting from interactions with
the Higgs mode and it can be overdamped at the typical temperature in a certain
parameter region.

1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math