Double barrier potentials for matter-wave gap solitons

TL;DR

This paper explores how matter-wave gap solitons in Bose-Einstein condensates interact with a double-barrier potential, revealing conditions for trapping and various collision outcomes.

Contribution

It introduces the concept of a Fabry-Perot-like cavity for matter-wave solitons and analyzes their complex collision behaviors within this setup.

Findings

Conditions for trapping the entire soliton in the cavity.

Multiple collision outcomes including merging and trapping.

Analysis of soliton interactions with trapped counterparts.

Abstract

We investigate collisions of solitons of the gap type, supported by a lattice potential in repulsive Bose-Einstein condensates, with an effective double-barrier potential that resembles a Fabry-Perot cavity. We identify conditions under which the trapping of the entire incident soliton in the cavity is possible. Collisions of the incident soliton with an earlier trapped one are considered too. In the latter case, many outcomes of the collisions are identified, including merging, release of the trapped soliton with or without being replaced by the incoming one, and trapping of both solitons.