Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probing condensate order in deep optical lattices   We study interacting bosons in optical lattices in the weak-tunneling regime
in systems that exhibit the coexistence of Mott-insulating and condensed
phases. We discuss the nature of the condensed ground state in this regime and
the validity of the mean-field treatment thereof. We suggest two experimental
signatures of condensate order in the system. (1) We analyze the hyperfine
configuration of the system and propose a set of experimental parameters for
observing radio-frequency spectra that would demonstrate the existence of the
condensed phase between Mott-insulating phases. We derive the structure of the
signal from the condensate in a typical trapped system, taking into account
Goldstone excitations, and discuss its evolution as a function of temperature.
(2) We study matter-wave interference patterns displayed by the system upon
release from all confining potentials. We show that as the density profiles
evolve very differently for the Mott-insulating phase and the condensed phase,
they can be distinguished from one another when the two phases coexist.

9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
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
6
The categories of this paper are: astro-ph