title: Fully three dimensional breather solitons can be created using feshbach resonances.
abstract: We investigate the stability properties of breather solitons in a three-dimensional Bose-Einstein condensate with Feshbach resonance management of the scattering length and confined only by a one-dimensional optical lattice. We compare regions of stability in parameter space obtained from a fully 3D analysis with those from a quasi-two-dimensional treatment. For moderate confinement we discover a new island of stability in the 3D case, not present in the quasi-2D treatment. Stable solutions from this region have non-trivial dynamics in the lattice direction; hence, they describe fully 3D breather solitons. We demonstrate these solutions in direct numerical simulations and outline a possible way of creating robust 3D solitons in experiments in a Bose-Einstein condensate in a one-dimensional lattice. We point out other possible applications.
authors.affiliation: Institute of Theoretical Physics, Physics Department, Warsaw University, Hoza 69, PL-00-681 Warsaw, Poland.
authors.forename: M
authors.initials: M
authors.lastname: Matuszewski
authors.forename: E
authors.initials: E
authors.lastname: Infeld
authors.forename: B A
authors.initials: BA
authors.lastname: Malomed
authors.forename: M
authors.initials: M
authors.lastname: Trippenbach