Compacton matter waves in binary Bose gases under strong nonlinear management

TL;DR

This paper demonstrates the existence and stability of compacton matter waves in binary Bose-Einstein condensates with nonlinear management, deriving an averaged model and exploring their robustness and experimental observability.

Contribution

First to derive an averaged vector discrete nonlinear Schrödinger equation showing stable compacton solutions in binary BECs under nonlinear management.

Findings

Compactons can exist as stable excitations.

Stability depends on inter- and intra-species scattering lengths.

Compactons can spontaneously emerge from generic initial conditions.

Abstract

The existence of compacton matter waves in binary mixtures of quasi one-dimensional Bose-Einstein condensates in deep optical lattices and in the presence of nonlinearity management, is first demonstrated. For this, we derive an averaged vector discrete nonlinear Schr\"odinger equation (DNLSE) and show that compacton solutions of different types can exist as stable excitations. Stability properties are studied by linear analysis and by direct numerical integrations of the DNLSE system and their dependence on the inter- and intra-species scattering lengths, investigated. We show that under proper management conditions, compactons can be very robust excitations that can emerge spontaneously from generic initial conditions. A possible experimental setting for compacton observation is also discussed.