Nonlinear Schrodinger equation for a superfluid Bose gas from weak coupling to unitarity: Study of vortices

Year: 2008

Authors: Adhikari S.K., Salasnich L.

Autors Affiliation: Sao Paulo State Univ, UNESP, Inst Fis Teor, BR-01405900 Sao Paulo, Brazil; CNR-INFM and Unità di Padova, Dipartimento Fis “G Galilei”, Università di Padova, Via Marzolo 8, 35131 Padova, Italy

Abstract: We introduce a nonlinear Schrodinger equation to describe the dynamics of a superfluid Bose gas in the crossover from the weak-coupling regime, where an(1/3)<<1 with a the interatomic s-wave scattering length and n the bosonic density, to the unitarity limit, where a ->+infinity. We call this equation the unitarity Schrodinger equation (USE). The zero-temperature bulk equation of state of this USE is parametrized by the Lee-Yang-Huang low-density expansion and Jastrow calculations at unitarity. With the help of the USE we study the profiles of quantized vortices and vortex-core radius in a uniform Bose gas. We also consider quantized vortices in a Bose gas under cylindrically symmetric harmonic confinement and study their profile and chemical potential using the USE and compare the results with those obtained from the Gross-Pitaevskii-type equations valid in the weak-coupling limit. Finally, the USE is applied to calculate the breathing modes of the confined Bose gas as a function of the scattering length.

Journal/Review: PHYSICAL REVIEW A

Volume: 77 (3)      Pages from: 033618  to: 033618

KeyWords: unitary Bose gas
DOI: 10.1103/PhysRevA.77.033618

Citations: 47
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