Barrier resonances in Bose-Einstein condensation
J. J. Garcia-Ripoll, V. M. Perez-Garcia
TL;DR
This paper investigates how parametric forcing influences Bose-Einstein condensates, revealing wide resonances that significantly affect dynamics even with dissipation, through analytical and numerical methods.
Contribution
It introduces a detailed analysis of barrier resonances in Bose-Einstein condensates under parametric forcing, connecting quantum dynamics to classical Mathieu oscillators.
Findings
Wide resonances strongly influence condensate dynamics
Resonances persist despite dissipation effects
Different forcing geometries impact resonance behavior
Abstract
We study the dynamics of the mean field model of a Bose-Einstein condensed atom cloud in a parametrically forced trap by using analytical and numerical techniques. The dynamics is related to a classical Mathieu oscillator in a singular potential. It is found that there are wide resonances which can strongly affect the dynamics even when dissipation is present. Different geometries of the forcing are discussed, as well as the implications of our results.
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