Dynamical transition from a quasi-one-dimensional Bose-Einstein condensate to a Tonks-Girardeau gas.
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. 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 scaling law compared to the one-dimensional Thomas-Fermi condensate.
Ohberg
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School of Physics and Astronomy, University of St. Andrews, North Haugh, Fife KY16 9SS, United Kingdom.
Santos
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