Dark solitons near potential and nonlinearity steps

Date

2016-12-14

Advisors

Journal Title

Journal ISSN

ISSN

2469-9926

Volume Title

Publisher

American Physical Society

Type

Article

Peer reviewed

Yes

Abstract

We study dark solitons near potential and nonlinearity steps and combinations thereof, forming rectangular barriers. This setting is relevant to the contexts of atomic Bose-Einstein condensates (where such steps can be realized by using proper external fields) and nonlinear optics (for beam propagation near interfaces separating optical media of different refractive indices).We use perturbation theory to develop an equivalent particle theory, describing the matter-wave or optical soliton dynamics as the motion of a particle in an effective potential. This Newtonian dynamical problem provides information for the soliton statics and dynamics, including scenarios of reflection, transmission, or quasitrapping at such steps. The case of multiple such steps and its connection to barrier potentials is additionally touched upon. The range of validity of the analytical approximation and radiation effects are also investigated. Our analytical predictions are found to be in very good agreement with the corresponding numerical results, where appropriate.

Description

The file attached to this record is the Publisher's final version.

Keywords

Solitons, Bose-Einstein condensates, Computer simulation

Citation

Tsitoura, F., Anastassi, Z.A., Marzuola, J.L., Kevrekidis, P.G. and Frantzeskakis, D.J. (2016) Dark solitons near potential and nonlinearity steps. Physical Review A, 94, 063612.

Rights

Research Institute

Institute of Artificial Intelligence (IAI)