Solitons in inhomogeneous gauge potentials: integrable and nonintegrable dynamics
| Autor: | Y. V. Kartashov, Michele Modugno, E. Ya. Sherman, Vladimir V. Konotop |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Physics
Condensed Matter::Quantum Gases Zeeman effect Spinor Integrable system Nonlinear Sciences - Exactly Solvable and Integrable Systems General Physics and Astronomy FOS: Physical sciences Pattern Formation and Solitons (nlin.PS) Gauge (firearms) Random walk 01 natural sciences Nonlinear Sciences - Pattern Formation and Solitons Matrix (mathematics) symbols.namesake Nonlinear system Quantum Gases (cond-mat.quant-gas) 0103 physical sciences symbols Soliton Exactly Solvable and Integrable Systems (nlin.SI) 010306 general physics Condensed Matter - Quantum Gases Nonlinear Sciences::Pattern Formation and Solitons Mathematical physics |
| Popis: | We introduce an exactly integrable nonlinear model describing the dynamics of spinor solitons in space-dependent matrix gauge potentials of rather general types. The model is shown to be gauge equivalent to the integrable system of vector nonlinear Schr\"odinger equations known as the Manakov model. As an example we consider a self-attractive Bose-Einstein condensate with random spin-orbit coupling (SOC). If Zeeman splitting is also included, the system becomes nonintegrable. We illustrate this by considering the random walk of a soliton in a disordered SOC landscape. While at zero Zeeman splitting the soliton moves without scattering along linear trajectories in the random SOC landscape, at nonzero splitting it exhibits strong scattering by the SOC inhomogeneities. For a large Zeeman splitting the integrability is recovered. In this sense the Zeeman splitting serves as a parameter controlling the crossover between two different integrable limits. Comment: 8 pages (with Supplemental Material), 4 figures |
| Databáze: | OpenAIRE |
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