Dynamics of a trapped 2D Bose-Einstein condensate with periodically and randomly varying atomic scattering length

TL;DR

This paper investigates the oscillations and resonance phenomena of a 2D Bose-Einstein condensate subjected to periodic and random variations in atomic scattering length, combining analytical and numerical methods.

Contribution

It introduces a method to analyze condensate dynamics under stochastic and periodic modulations, comparing reduced models with full numerical simulations.

Findings

Calculated mean growth rate of condensate width under random modulations

Validated reduced ODE models against full 2D Gross-Pitaevskii simulations

Identified resonance behaviors in condensate oscillations

Abstract

In this work we consider the oscillations and associated resonance of a 2D Bose-Einstein condensate under periodic and random modulations of the atomic scattering length. For random oscillations of the trap potential and of the atomic scattering length we are able to calculate the mean growth rate for the width of the condensate. The results obtained from the reduced ODE's for oscillations of the width of condensate are compared with the numerical simulations of the full 2D Gross-Pitaevskii equation with modulated in time coefficients.