Friction and diffusion of matter-wave bright solitons

TL;DR

This paper investigates how thermal particles cause friction and diffusion in matter-wave bright solitons within Bose-Einstein condensates, accounting for realistic transverse effects that induce finite reflection and dissipative motion.

Contribution

It introduces a model for velocity and temperature-dependent friction and diffusion of bright solitons, considering transverse effects that lead to finite reflection in realistic systems.

Findings

Derived expressions for frictional force and diffusion coefficient.

Showed that transverse degrees of freedom induce finite reflection.

Quantified dissipative effects on soliton motion.

Abstract

We consider the motion of a matter-wave bright soliton under the influence of a cloud of thermal particles. In the ideal one-dimensional system, the scattering process of the quasiparticles with the soliton is reflectionless, however, the quasiparticles acquire a phase shift. In the realistic system of a Bose-Einstein condensate confined in a tight waveguide trap, the transverse degrees of freedom generate an extra but small nonlinearity in the system which gives rise to finite reflection and leads to dissipative motion of the soliton. We calculate the velocity and temperature-dependent frictional force and diffusion coefficient of a matter wave bright soliton immersed in a thermal cloud.