Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Monopole excitations of a harmonically trapped one-dimensional Bose gas
  from the ideal gas to the Tonks-Girardeau regime   Using a time-dependent modified nonlinear Schr\"odinger equation (m-NLSE) --
where the conventional chemical potential proportional to the density is
replaced by the one inferred from Lieb-Liniger's exact solution -- we study
frequencies of the collective monopole excitations of a one-dimensional (1D)
Bose gas. We find that our method accurately reproduces the results of a recent
experimental study [E. Haller et al., Science Vol. 325, 1224 (2009)] in the
full spectrum of interaction regimes from the ideal gas, through the mean-field
regime, through the mean-field Thomas-Fermi regime, all the way to the
Tonks-Giradeau gas. While the former two are accessible by the standard
time-dependent NLSE and inaccessible by the time-dependent local density
approximation (LDA), the situation reverses in the latter case. However, the
m-NLSE treats all these regimes within a single numerical method.

22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys