Details
| Original language | English |
|---|---|
| Pages (from-to) | 6 |
| Number of pages | 1 |
| Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
| Volume | 68 |
| Issue number | 4 |
| Publication status | Published - 1 Oct 2003 |
Abstract
The expansion of a one-dimensional Bose gas after releasing its initial harmonic confinement is investigated employing the Lieb-Liniger equation of state within the local-density approximation. We show that during the expansion the density profile of the gas does not follow a self-similar solution, as one would expect from a simple scaling ansatz. We carry out a variational calculation, which recovers the numerical results for the expansion, the equilibrium properties of the density profile, and the frequency of the lowest compressional mode. The variational approach allows for the analysis of the expansion in all interaction regimes between the mean-field and the Tonks-Girardeau limits, and in particular shows the range of parameters for which the expansion violates self-similarity.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
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In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 68, No. 4, 01.10.2003, p. 6.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Violation of self-similarity in the expansion of a one-dimensional Bose gas
AU - Pedri, Paolo
AU - Santos, Luis
AU - Öhberg, P.
AU - Stringari, S.
PY - 2003/10/1
Y1 - 2003/10/1
N2 - The expansion of a one-dimensional Bose gas after releasing its initial harmonic confinement is investigated employing the Lieb-Liniger equation of state within the local-density approximation. We show that during the expansion the density profile of the gas does not follow a self-similar solution, as one would expect from a simple scaling ansatz. We carry out a variational calculation, which recovers the numerical results for the expansion, the equilibrium properties of the density profile, and the frequency of the lowest compressional mode. The variational approach allows for the analysis of the expansion in all interaction regimes between the mean-field and the Tonks-Girardeau limits, and in particular shows the range of parameters for which the expansion violates self-similarity.
AB - The expansion of a one-dimensional Bose gas after releasing its initial harmonic confinement is investigated employing the Lieb-Liniger equation of state within the local-density approximation. We show that during the expansion the density profile of the gas does not follow a self-similar solution, as one would expect from a simple scaling ansatz. We carry out a variational calculation, which recovers the numerical results for the expansion, the equilibrium properties of the density profile, and the frequency of the lowest compressional mode. The variational approach allows for the analysis of the expansion in all interaction regimes between the mean-field and the Tonks-Girardeau limits, and in particular shows the range of parameters for which the expansion violates self-similarity.
UR - http://www.scopus.com/inward/record.url?scp=85037221937&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.68.043601
DO - 10.1103/PhysRevA.68.043601
M3 - Article
AN - SCOPUS:85037221937
VL - 68
SP - 6
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
SN - 1050-2947
IS - 4
ER -