Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statics and dynamics of quasi one-dimensional Bose-Einstein condensate
  in harmonic and dimple trap   We investigate a quasi one-dimensional $^{87}\text{Rb}$ Bose-Einstein
condensate in a harmonic trap with an additional dimple trap (dT) in the
center. Within a zero-temperature Gross-Pitaevskii mean-field description we
provide a one-dimensional physical intuitive model, which we solve by both a
time-independent variational approach and numerical calculations. With this we
obtain at first equilibrium results for the emerging condensate wave function
which reveal that a dimple trap potential induces a bump or a dip in case of a
red- or a blue-detuned Gaussian laser beam, respectively. Afterwards, we
investigate how this dT induced bump/dip-imprint upon the condensate wave
function evolves for two quench scenarios. At first we consider the generic
case that the harmonic confinement is released. During the resulting
time-of-flight expansion it turns out that the dT induced bump in the
condensate wave function remains present, whereas the dip starts decaying after
a characteristic time scale which decreases with increasing blue-detuned dT
depth. Secondly, once the red- or blue-detuned dT is switched off, we find that
bright shock-waves or gray/dark bi-soliton trains emerge which oscillate within
the harmonic confinement with a characteristic frequency.

25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
2
The categories of this paper are: math