Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Collective excitations and supersolid behavior of bosonic atoms inside
  two crossed optical cavities   We discuss the nature of symmetry breaking and the associated collective
excitations for a system of bosons coupled to the electromagnetic field of two
optical cavities. For the specific configuration realized in a recent
experiment at ETH, we show that, in absence of direct intercavity scattering
and for parameters chosen such that the atoms couple symmetrically to both
cavities, the system possesses an approximate $U(1)$ symmetry which holds
asymptotically for vanishing cavity field intensity. It corresponds to the
invariance with respect to redistributing the total intensity $I=I_1+I_2$
between the two cavities. The spontaneous breaking of this symmetry gives rise
to a broken continuous translation-invariance for the atoms, creating a
supersolid-like order in the presence of a Bose-Einstein condensate. In
particular, we show that atom-mediated scattering between the two cavities,
which favors the state with equal light intensities $I_1=I_2$ and reduces the
symmetry to $\mathbf{Z}_2\otimes \mathbf{Z}_2$, gives rise to a finite value
$\sim \sqrt{I}$ of the effective Goldstone mass. For strong atom driving, this
low energy mode is clearly separated from an effective Higgs excitation
associated with changes of the total intensity $I$. In addition, we compute the
spectral distribution of the cavity light field and show that both the Higgs
and Goldstone mode acquire a finite lifetime due to Landau damping at non-zero
temperature.

27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio