Dark solitons in a Gross-Pitaevskii equation with a power-law nonlinearity: application to ultracold Fermi gases near the Bose-Einstein condensation regime

被引：7

作者：

Yan, D. ^{[1
]}

Kevrekidis, P. G. ^{[1
]}

Frantzeskakis, D. J. ^{[2
]}

机构：

[1] Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA

[2] Univ Athens, Dept Phys, Athens 15784, Greece

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2011年 / 44卷 / 41期

基金：

美国国家科学基金会;

关键词：

WAVES; OSCILLATIONS;

D O I：

10.1088/1751-8113/44/41/415202

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this work, we consider a model of a defocusing nonlinear Schrodinger equation with a variable nonlinearity exponent. This is motivated by the study of a superfluid Fermi gas in the Bose-Einstein condensation (BEC)-Bardeen-Cooper-Schrieffer crossover. In particular, we focus on the relevant meanfield model in the regime from BEC to unitarity and especially consider the modification of the nearly black soliton oscillation frequency due to the variation in the nonlinearity exponent in a harmonic trapping potential. The analytical expressions given as a function of the relevant nonlinearity exponent are corroborated by numerical computations and also extended past the BEC limit.

引用

页数：11

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