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

Abstract

We introduce a nonlinear Schroedinger equation to describe the dynamics of a superfluid Bose gas in the crossover from the weak-coupling regime, where $a{n}^{1/3}\ll 1$ with $a$ the inter-atomic s-wave scattering length and $n$ the bosonic density, to the unitarity limit, where $a\to +\infty$. We call this equation the {unitarity Schroedinger 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.

10 pages, 15 figures

References in corpus (5)

• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• Bose-Einstein condensate collapse: a comparison between theory and experiment
• One-dimensional superfluid Bose-Fermi mixture: mixing, demixing and bright solitons
• Superfluid Fermi-Fermi mixture: phase diagram, stability, and soliton formation
• Vortices in Atomic Bose-Einstein Condensates in the Large Gas Parameter Region

Cited by in corpus (2)

• Superfluid Bose-Fermi mixture from weak-coupling to unitarity
• Hydrodynamics of Bose and Fermi superfluids at zero temperature: the superfluid nonlinear Schrodinger equation