Dark solitons near potential and nonlinearity steps
Author | F., Tsitoura |
Author | Z.A., Anastassi |
Author | J.L., Marzuola |
Author | P.G., Kevrekidis |
Author | D.J., Frantzeskakis |
Available date | 2021-03-25T11:33:35Z |
Publication Date | 2016 |
Publication Name | Physical Review A |
Resource | Scopus |
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. |
Language | en |
Publisher | American Physical Society |
Subject | Bose-Einstein condensation Perturbation techniques Radiation effects Refractive index Solitons Statistical mechanics Analytical approximation Analytical predictions Atomic Bose-Einstein condensate Dynamical problems Effective potentials Equivalent particle theory Perturbation theory Statics and dynamics Nonlinear optics |
Type | Article |
Issue Number | 6 |
Volume Number | 94 |
Files in this item
Files | Size | Format | View |
---|---|---|---|
There are no files associated with this item. |
This item appears in the following Collection(s)
-
Mathematics, Statistics & Physics [726 items ]