Resonance in Bose-Einstein condensate oscillation from a periodic variation in scattering length

TL;DR

This study investigates resonance phenomena in Bose-Einstein condensate oscillations caused by periodic variations in scattering length, revealing nonlinear growth and decay cycles at specific frequencies through numerical solutions of the Gross-Pitaevskii equation.

Contribution

It demonstrates resonance effects in BEC oscillations due to periodic scattering length variation, highlighting nonlinear amplitude cycles without damping.

Findings

Resonance occurs at even multiples of trap frequencies.

Amplitude exhibits maximum and minimum cycles at resonance.

Similar behavior observed in rotating BECs.

Abstract

Using the explicit numerical solution of the axially-symmetric Gross-Pitaevskii equation we study the oscillation of the Bose-Einstein condensate induced by a periodic variation in the atomic scattering length $a$. When the frequency of oscillation of $a$ is an even multiple of the radial or axial trap frequency, respectively, the radial or axial oscillation of the condensate exhibits resonance with novel feature. In this nonlinear problem without damping, at resonance in the steady state the amplitude of oscillation passes through maximum and minimum. Such growth and decay cycle of the amplitude may keep on repeating. Similar behavior is also observed in a rotating Bose-Einstein condensate.