Transition from 3D to 1D in Bose Gases at Zero Temperature

Details Transition from 3D to 1D in Bose Gases at Zero Temperature Transition from 3D to 1D in Bose Gases at Zero Temperature

2004-04-30

arxiv.org/abs/cond-mat/0404746v1

Physical Review A, vol. 70, 013606 (2004).

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 figures, to be published in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.70.013606

We investigate the effects of dimensional reduction in Bose gases induced by a strong harmonic confinement in the transverse cylindric radial direction. By using a generalized Lieb-Liniger theory, based on a variational treatment of the transverse width of the Bose gas, we analyze the transition from a 3D Bose-Einstein condensate to the 1D Tonks-Girardeau gas. The sound velocity and the frequency of the lowest compressional mode give a clear signature of the regime involved. We study also the case of negative scattering length deriving the phase diagram of the Bose gas (uniform, single soliton, multi soliton and collapsed) in toroidal confinement.

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