Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum anomaly, universal relations, and breathing mode of a
  two-dimensional Fermi gas   In this Letter, we show that the classical SO(2,1) symmetry of a harmonically
trapped Fermi gas in two dimensions is broken by quantum effects. The anomalous
correction to the symmetry algebra is given by a two-body operator that is well
known as the contact. Taking into account this modification, we are able to
derive the virial theorem for the system and a universal relation for the
pressure of a homogeneous gas. The existence of an undamped breathing mode is
associated with the classical symmetry. We provide an estimate for the
anomalous frequency shift of this oscillation at zero temperature and compare
the result with a recent experiment by [E. Vogt et al., Phys. Rev. Lett. 108,
070404 (2012)]. Discrepancies are attributed to finite temperature effects.

27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph