Dark solitons near potential and nonlinearity steps
| Autor: | Jeremy L. Marzuola, Zacharias Anastassi, Panayotis G. Kevrekidis, Dimitri J. Frantzeskakis, F. Tsitoura |
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| Rok vydání: | 2015 |
| Předmět: |
Nonlinear optics
Perturbation techniques Effective potentials Analytical predictions Refractive index Radiation effects FOS: Physical sciences Bose-Einstein condensation Perturbation theory Solitons 01 natural sciences 010305 fluids & plasmas law.invention law 0103 physical sciences 010306 general physics Statics Physics Dynamical problems Bose-Einstein condensates Statistical mechanics Computer simulation Equivalent particle theory Atomic Bose-Einstein condensate Statics and dynamics Nonlinear system Analytical approximation Classical mechanics Quantum Gases (cond-mat.quant-gas) Reflection (physics) Soliton Perturbation theory (quantum mechanics) Condensed Matter - Quantum Gases Bose–Einstein condensate |
| DOI: | 10.48550/arxiv.1509.05206 |
| Popis: | 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 quasi-trapping at such steps. The case of multiple such steps and its connection to barrier potentials is also touched upon. Our analytical predictions are found to be in very good agreement with the corresponding numerical results. Comment: 13 pages, 9 figures |
| Databáze: | OpenAIRE |
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