Controlling soliton interactions in Bose-Einstein condensates by synchronizing the Feshbach resonance and harmonic trap
arXiv:0808.3831 · doi:10.1103/PhysRevA.77.023613
Abstract
We present how to control interactions between solitons, either bright or dark, in Bose-Einstein condensates by synchronizing Feshbach resonance and harmonic trap. Our results show that as long as the scattering length is to be modulated in time via a changing magnetic field near the Feshbach resonance, and the harmonic trapping frequencies are also modulated in time, exact solutions of the one-dimensional nonlinear Schrödinger equation can be found in a general closed form, and interactions between two solitons are modulated in detail in currently experimental conditions. We also propose experimental protocols to observe the phenomena such as fusion, fission, warp, oscillation, elastic collision in future experiments.
7 pages, 7 figures
References in corpus (23)
- Formation and Propagation of Matter Wave Soliton Trains
- Observation of resonance condensation of fermionic atom pairs
- Formation of a Matter-Wave Bright Soliton
- Stable 85Rb Bose-Einstein Condensates with Widely Tunable Interactions
- Dynamics of collapsing and exploding Bose-Einstein condensates
- Theory of Nonlinear Matter Waves in Optical Lattices
- Bose--Einstein solitons in highly asymmetric traps
- Dynamics of a Bright Soliton in Bose-Einstein condensates with Time-Dependent Atomic Scattering Length in an Expulsive Parabolic Potential
- Strongly enhanced inelastic collisions in a Bose-Einstein condensate near Feshbach resonances
- Dynamically Stabilized Bright Solitons in a Two-Dimensional Bose-Einstein Condensate
- Measurement of positive and negative scattering lengths in a Fermi gas of atoms
- Observation of attraction between dark solitons
- Pattern Forming Dynamical Instabilities of Bose-Einstein Condensates: A Short Review
- Adiabatic dynamics of periodic waves in Bose-Einstein condensate with time dependent atomic scattering length
- Probing the excitation spectrum of a Fermi gas in the BCS-BEC crossover regime
- Matter-wave solitons of collisionally inhomogeneous condensates
- Fully three dimensional breather solitons can be created using Feshbach resonance
- Averaging For Solitons With Nonlinearity Management
- Feshbach resonance induced shock waves in Bose-Einstein condensates
- Stabilized two-dimensional vector solitons
- Characterization of elastic scattering near a Feshbach resonance in rubidium 87
- On collapse in the nonlinear Schrodinger equation with time dependent nonlinearity. Application to Bose-Einstein condensates
- Adiabatic Compression of Soliton Matter Waves
Cited by in corpus (7)
- Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
- Matter rogue wave in Bose-Einstein condensates with attractive atomic interaction
- Solitons in Bose-Einstein Condensates with time-dependent atomic scattering length in an expulsive parabolic and complex potential
- Dynamics and modulation of ring dark soliton in 2D Bose-Einstein condensates with tunable interaction
- On Integrability of Nonautonomous Nonlinear Schroedinger Equations
- Rebound-through transition of bright-bright solitons collision in two species condensates with repulsive interspecies interactions
- One-dimensional matter waves as a multi-state bit