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Monopole Excitations of a Harmonically Trapped One-Dimensional Bose Gas from the Ideal Gas to the Tonks-Girardeau Regime.
- Source :
-
Physical Review Letters . 9/11/2015, Vol. 115 Issue 11, p115302-1-115302-5. 5p. - Publication Year :
- 2015
-
Abstract
- Using a time-dependent modified nonlinear Schrödinger equation (MNLSE)--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 Bose gas. We find that our method accurately reproduces the results of a recent experimental study [E. Haller et al., Science 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, the situation reverses in the latter case. However, the MNLSE is shown to treat all these regimes within a single numerical method. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00319007
- Volume :
- 115
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Physical Review Letters
- Publication Type :
- Academic Journal
- Accession number :
- 110083803
- Full Text :
- https://doi.org/10.1103/PhysRevLett.115.115302