Soliton dynamics of a high-density Bose-Einstein condensate subject to a time varying anharmonic trap

• Published in: Chaos, solitons and fractals Vol. 143; p. 110580
• Main Authors: Flores-Calderón, R., Fujioka, J., Espinosa-Cerón, A.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.02.2021
• Subjects: Bose-Einstein condensate; Dissipative solitons; External feeding; Quantum fluctuations; Three-body recombination; Variational method; External feeding; Three-body recombination; Variational method; Dissipative solitons; Quantum fluctuations; Bose-Einstein condensate
• ISSN: 0960-0779; 1873-2887
• DOI: 10.1016/j.chaos.2020.110580

•A Aa A mGPE models a BEC with two-body interactions, three-body losses, quantum fluctuations, atomic feeding, and a potential.•Hasegawa’s variational method reflects in good numerical agreement for the variational solutions of a single-hump pulse.•When the BEC oscillates between two wells a novel “fragmentation-regeneration” (FR) process appears.•The FR process is highly sensitive to changes in the potential barrier, quantum fluctuations, and the initial conditions. In this paper we study the soliton dynamics of a high-density Bose-Einstein condensate (BEC) subject to a time-oscillating trap. The behavior of the BEC is described with a modified Gross-Pitaevskii equation (mGPE) which takes into account three-body losses, atomic feeding and quantum fluctuations (up to a novel high-density term). A variational approximation (VA) is used to study the behavior of a Gaussian pulse in a static double-well potential. Direct numerical solutions of the mGPE corroborate that the center of the pulse exhibits an oscillatory behavior (as the VA predicts), and show a novel phenomenon of fragmentation and regeneration (FR). It is shown that this FR process is destroyed if we consider a potential with a time-dependent quadratic term, but the FR survives if the time dependence is introduced in a cubic term. Comparison between the VA and the numerical solution revealed an excellent agreement when the oscillations of the pulse remain in one of the potential wells. The effects of the quantum fluctuating terms on the FR process are studied. Finally, variational results using a supergaussian trial function are obtained.