Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasi-angular momentum of Bose and Fermi gases in rotating optical
  lattices   The notion of quasi-angular momentum is introduced to label the eigenstates
of a Hamiltonian with a discrete rotational symmetry. This concept is recast in
an operatorial form where the creation and annihilation operators of a Hubbard
Hamiltonian carry units of quasi-angular momentum. Using this formalism, the
ground states of ultracold gases of non-interacting fermions in rotating
optical lattices are studied as a function of rotation, and transitions between
states of different quasi-angular momentum are identified. In addition,
previous results for strongly-interacting bosons are re-examined and compared
to the results for non-interacting fermions. Quasi-angular momentum can be used
to distinguish between these two cases. Finally, an experimentally accessible
signature of quasi-angular momentum is identified in the momentum distributions
of single-particle eigenstates.

30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
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
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th