The nonlinear damping of Bose-Einstein condensate oscillations at ultra-low temperatures

TL;DR

This paper investigates the nonlinear damping mechanisms of Bose-Einstein condensate oscillations at ultra-low temperatures, revealing complex energy transfer dynamics between transverse and longitudinal modes.

Contribution

It introduces a detailed analysis of nonlinear mode coupling causing anomalous damping behavior in Bose-Einstein condensates at ultralow temperatures.

Findings

Nonlinear coupling leads to anomalous damping patterns.

Energy transfer occurs via parametric resonance.

Results explain previously observed experimental phenomena.

Abstract

We analyze the damping of the transverse breathing mode in an elongated trap at ultralow temperatures. The damping occurs due to the parametric resonance entailing the energy transfer to the longitudinal degrees of freedom. It is found that the nonlinear coupling between the transverse and discrete longitudinal modes can result in an anomalous behavior of the damping as a function of time with the partially reversed pumping of the breathing mode. The picture revealed explains the results observed in [16].