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Dynamical transition from a quasi-one dimensional Bose-Einstein condensate to a Tonks-Girardeau gas | | P. Ohberg
; L. Santos
; | | Date: |
29 Apr 2002 | | Subject: | Soft Condensed Matter | cond-mat.soft | | Abstract: | We analyze in detail the expansion of a 1D Bose gas after removing the axial confinement. We show that during its one-dimensional expansion the density of the Bose gas does not follow a self-similar solution, but on the contrary, it asymptotically approaches a Tonks-Girardeau profile. Our analysis is based on a nonlinear Schrödinger equation with variable nonlinearity whose validity is discussed for the expansion problem, by comparing with an exact Bose-Fermi mapping for the case of an initial Tonks-Girardeau gas. For this case, the gas is shown to expand self-similarly, with a different similarity law compared to the one-dimensional Thomas-Fermi condensate. | | Source: | arXiv, cond-mat/0204611 | | Services: | Forum | Review | PDF | Favorites | |
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