Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mean-field algebraic approach to the dynamics of fermions in a 1D
  optical lattice   We consider a one-dimensional optical lattice of three-dimensional Harmonic
Oscillators which are loaded with neutral fermionic atoms trapped into two
hyperfine states. By means of a standard variational coherent-state procedure,
we derive an effective Hamiltonian for this quantum model and the hamiltonian
equations describing its evolution. To this end, we identify the algebra
$\mathcal L$ of two-fermion operators --describing the relevant microscopic
quantum processes of our model-- whereby the natural choice for the trial state
appears to be a so(2r) coherent state. The coherent-state parameters, playing
the role of dynamical variables for the effective Hamiltonian, are shown to
identify with the $\mathcal L$-operator expectation values thus providing a
clear physical interpretation of this algebraic mean-field picture.

8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an