Tonks-Girardeau gas, super-Tonks-Girardeau gas, and bound states of one-dimensional bosons in a hard-wall trap

Details Tonks-Girardeau gas, super-Tonks-Girardeau gas, and bound states of one-dimensional bosons in a hard-wall trap Tonks-Girardeau gas, super-Tonks-Girardeau gas, and bound states of one-dimensional bosons in a hard-wall trap

2011-05-02

arxiv.org/abs/1105.0293v1

Physics

Condensed Matter

Quantum Gases

5 pages, 5 figures, submitted to EPL

Scientific paper

We investigate the Bose gas with repulsive or attractive interactions between atoms in the scheme of Bethe Ansatz equation in a hard wall trap. Three typical quantum phases in the current research of 1D interacting cold atoms are clarified in terms of the energy spectrum, single particle density distribution and two-particle correlation function. We identify two matching points in the phase diagram, i.e. the TG and STG gas show the same profiles at the strongly interacting point $-1/\gamma=0$, and in the weakly interacting limit $\gamma=0$ the ground states TG and BS join to each other smoothly.

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