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摘要翻译：
研究了一维玻色气体在n体吸引接触作用下的基态性质。利用广义非线性Schroedinger方程亮孤子解的显式形式，计算了化学势和基态能量。当n=3时，局域孤子波函数只存在于相互作用强度的临界值，此时基态具有无穷大的简并度，可由化学势参数化。文中还讨论了外谐波陷阱对亮孤子解的镇定作用，并与高维n体吸引接触相互作用的镇定作用进行了比较。
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英文标题：
《One-Dimensional Bose Gases with N-Body Attractive Interactions》
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作者：
E. Fersino, G. Mussardo, and A. Trombettoni
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最新提交年份：
2008
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics 物理学
二级分类：High Energy Physics - Theory 高能物理-理论
分类描述：Formal aspects of quantum field theory. String theory, supersymmetry and supergravity.
量子场论的形式方面。弦理论，超对称性和超引力。
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英文摘要：
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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PDF链接：
https://arxiv.org/pdf/801.3688
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