One-Dimensional Bose Gases with N-Body Attractive Interactions

Abstract

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.

12 pages, 8 Postscript figures

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Cited by in corpus (8)

• Bright solitons in defocusing media with spatial modulation of the quintic nonlinearity
• Stabilization of one-dimensional solitons against the critical collapse by quintic nonlinear lattices
• Local correlations in the attractive 1D Bose gas: from Bethe ansatz to the Gross-Pitaevskii equation
• Stabilization of two-dimensional solitons and vortices against supercritical collapse by lattice potentials
• Dark soliton oscillations in Bose-Einstein condensates with multi-body interactions
• Spatial control of the competition between self-focusing and self-defocusing nonlinearities in one- and two-dimensional systems
• Ultracold Bosons with 3-Body Attractive Interactions in an Optical Lattice
• Hysteresis effects in Bose-Einstein condensates