Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase transition to Bose-Einstein condensation for a Bosonic gas
  confined in a combined trap   We present a study of phase transition to macroscopic superfluidity for an
ultracold bosonic gas confined in a combined trap formed by a one-dimensional
optical lattice and a harmonic potential, focusing on the critical temperature
of this system and the interference patterns of the Bose gas released from the
combined trap. Based on a semiclassical energy spectrum, we develop an analytic
approximation for the critical temperature $T_{c}$, and compare the analytic
results with that obtained by numerical computations. For finite temperatures
below $T_{c}$, we calculate the interference patterns for both the normal gas
and the superfluid gas. The total interference pattern shows a feature of
``peak-on-a-peak". As a comparison, we also present the experimentally observed
interference patterns of $^{87}$Rb atoms released from a one-dimensional
optical lattice system in accord with our theoretical model. Our observations
are consistent with the theoretical results.

21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex