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

Abstract

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.

arXiv comment13 pages, 16 figures. To be published in Chaos, Solitons and Fractals

References in corpus (18)

• Formation of a Matter-Wave Bright Soliton
• Stable 85Rb Bose-Einstein Condensates with Widely Tunable Interactions
• Strongly enhanced inelastic collisions in a Bose-Einstein condensate near Feshbach resonances
• On Dispersive and Classical Shock Waves in Bose-Einstein Condensates and Gas Dynamics
• Collapse and Bose-Einstein condensation in a trapped Bose-gas with negative scattering length
• Gap-Townes solitons and localized excitations in low dimensional Bose Einstein condensates in optical lattices
• Ground state of a homogeneous Bose gas: a diffusion Monte Carlo calculation
• The Dilute Bose-Einstein Condensate with Large Scattering Length
• Superfluid Bose-Fermi mixture from weak-coupling to unitarity
• Atom loss from Bose-Einstein condensates due to Feshbach resonance
• Quantum Data Compression of a Qubit Ensemble
• Spontaneous symmetry breaking of Bose-Fermi mixtures in double-well potentials
• Bosenova and three-body loss in a Rb-85 Bose-Einstein condensate
• Self-trapping of a Fermi super-fluid in a double-well potential in the BEC-unitarity crossover
• Rb-85 tunable-interaction Bose-Einstein condensate machine
• Three-Body Losses in Trapped Bose-Einstein Condensed Gases
• Weak-coupling to unitarity crossover in Bose-Fermi mixtures: Mixing-demixing and spontaneous symmetry breaking in trapped systems
• Non-Conservative Variational Approximation for Nonlinear Schroedinger Equations