Dynamics of Bisolitonic Matter Waves in a Bose–einstein Condensate Subjected to an Atomic Beam Splitter and Gravity

Abstract

A theoretical scheme for an experimental implementation involving bisolitonic matter waves from an attractive Bose–Einstein condensate, is considered within the framework of a non-perturbative approach to the associate Gross–Pitaevskii equation. The model consists of a single condensate subjected to an expulsive harmonic potential creating a double-condensate structure, and a gravitational potential that induces atomic exchanges between the two overlapping post condensates. Using a non-isospectral scattering transform method, exact expressions for the bright-matter–wave bisolitons are found in terms of double-lump envelopes with the co-propagating pulses displaying more or less pronounced differences in their widths and tails depending on the mass of atoms composing the condensate.

Two-soliton molecule bouncing in a dipolar Bose–Einstein condensates under the effect of gravity

“…The dynamics of bisolitonic matter-waves in a BEC that was subjected to an expulsive harmonic potential and a gravitational potential have been studied in Ref. 29. The authors were using a non-isospectral scattering transform method and exact expressions for the bright-matter-wave bisolitons, and consequently received solution in terms of double-lump envelopes.…”