Resonances in a trapped 3D Bose-Einstein condensate under periodically varying atomic scattering length
Fatkhulla Kh. Abdullaev, Ravil M. Galimzyanov, Marijana Brtka and, Roberto A. Kraenkel
TL;DR
This paper investigates nonlinear oscillations and resonances in a 3D Bose-Einstein condensate with periodically varying scattering length, combining analytical and numerical methods to understand bistability and collapse thresholds.
Contribution
It introduces a combined analytical and numerical analysis of nonlinear resonances and bistability in a 3D BEC with time-dependent scattering length, extending previous studies.
Findings
Identification of nonlinear resonance characteristics
Analysis of bistability in BEC oscillations
Dependence of collapse threshold on drive parameters
Abstract
Nonlinear oscillations of a 3D radial symmetric Bose-Einstein condensate under periodic variation in time of the atomic scattering length have been studied analytically and numerically. The time-dependent variational approach is used for the analysis of the characteristics of nonlinear resonances in the oscillations of the condensate. The bistability in oscillations of the BEC width is invistigated. The dependence of the BEC collapse threshold on the drive amplitude and parameters of the condensate and trap is found. Predictions of the theory are confirmed by numerical simulations of the full Gross-Pitaevski equation.
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