Bright matter-wave soliton collisions in a harmonic trap: regular and chaotic dynamics.

Internal structure of a quantum soliton and classical excitations due to trap opening

Abstract. We analytically solve two problems that may be useful in the context of the recent observation of matter wave bright solitons in a one-dimensional attractive atomic Bose gas. The first problem is strictly beyond mean field: From the Bethe ansatz solution we extract the internal correlation function of the particle positions in the quantum soliton, that is for a fixed center of mass po...

Construction of localized atomic wave packets

It is shown that highly localized solitons can be created in lower dimensional Bose-Einstein condensates (BEC), trapped in a regular harmonic trap, by temporally varying the trap frequency. A BEC confined in such a trap can be effectively used to construct a pulsed atomic laser emitting coherent atomic wave packets. It is also shown that one has complete control over the spatio-temporal dynamic...

Stability and Tunneling Dynamics of a Dark-Bright Soliton Pair in a Harmonic Trap

A ug 2 00 2 Dynamics of bright matter wave solitons in a quasi 1 D Bose - Einstein condensate with a rapidly varying trap

The dynamics of a bright matter wave soliton in a quasi 1D Bose-Einstein condensate with periodically rapidly varying trap is considered. The governing equation is derived based on averaging over fast modulations of the Gross-Pitaevskii (GP) equation. This equation has the form of GP equation with effective potential of more complicated structure than unperturbed trap. For the case of inverted ...

Spatial soliton pairs in an unbiased photovoltaic-photorefractive crystal circuit

: Optical separate spatial dark and bright soliton pairs in steady-state case in one dimension, for a series circuit consisting of two-photon photorefractive (PR) crystal are investigated. Each crystal can be supported the spatial soliton, and at least one must be photovoltaic. The two solitons are known collectively as separate spatial soliton pairs with dark–dark, bright–dark and bright–brigh...