Nonlinear Schrödinger equation with power-law confining potential

• Autor(a) principal: Holz, Sheila M. [UNESP]
• Data de Publicação: 2006
• Outros Autores: Filho, Victo S. [UNESP], Tomio, Lauro [UNESP], Gammal, A.
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1103/PhysRevA.74.013406; http://hdl.handle.net/11449/224779

Critical limits of a stationary nonlinear three-dimensional Schrödinger equation with confining power-law potentials (∼ rα) are obtained using spherical symmetry. When the nonlinearity is given by an attractive two-body interaction (negative cubic term), it is shown how the maximum number of particles Nc in the trap increases as α decreases. With a negative cubic and positive quintic terms we study a first order phase transition, that occurs if the strength g3 of the quintic term is less than a critical value g3c. At the phase transition, the behavior of g3c with respect to α is given by g3c ∼0.0036+0.0251α+0.0088/ α2. © 2006 The American Physical Society.