One-Dimensional Bose Gases with N-Body Attractive Interactions

Details One-Dimensional Bose Gases with N-Body Attractive Interactions One-Dimensional Bose Gases with N-Body Attractive Interactions

2008-01-24

arxiv.org/abs/0801.3688v1

Phys. Rev. A 77, 053608 (2008)

Physics

Condensed Matter

Statistical Mechanics

12 pages, 8 Postscript figures

Scientific paper

10.1103/PhysRevA.77.053608

We study the ground state properties of a one-dimensional Bose gas with N-body attractive contact interactions. By using the explicit form of the bright soliton solution of a generalized nonlinear Schroedinger equation, we compute the chemical potential and the ground state energy. For N=3, a localized soliton wave-function exists only for a critical value of the interaction strength: in this case the ground state has an infinite degeneracy that can be parameterized by the chemical potential. The stabilization of the bright soliton solution by an external harmonic trap is also discussed, and a comparison with the effect of N-body attractive contact interactions in higher dimensions is presented.

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