Vortex Lattice in a Rotating Bose-Einstein Condensate

TL;DR

This paper uses numerical simulations to study vortex dynamics in a rotating Bose-Einstein condensate, analyzing energy and angular momentum changes over time with dissipation effects.

Contribution

It introduces a phenomenological model to simulate vortex motion in a trapped BEC, focusing on energy and angular momentum evolution at finite temperatures.

Findings

Energy and angular momentum vary with dissipation.

Vortex entry and decay rates depend on dissipation levels.

Energy components follow linear trends during vortex dynamics.

Abstract

Numerical simulations of vortex motion in a trapped Bose-Einstein condensate were performed by solving the two-dimensional Gross-Pitaevskii equation in the presence of a simple phenomenological model of interaction between the condensate and the finite temperature thermal cloud. The log (base e) of total energy, trap energy, quantum energy, kinetic energy, internal energy and z-component of the angular momentum vs time were compared with f(x)=a+bx for that time when the vortices come in in the condensate. The increasing/decay rate of these energies and L_{z} were studied as a function of dissipation.