2018/04/01 by P. G. Kevrekidis, Wenlong Wang, R. Carretero-González +2
Physics and Astronomy · #Adiabatic invariant #Adiabatic process #Astrophysics #Bose–Einstein condensate #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Dark matter #Instability #Invariant (physics) #Nonlinear Photonic Systems #Nonlinear system #Physics #Quantum electrodynamics #Quantum mechanics #Soliton #Strong Light-Matter Interactions #cond-mat.quant-gas #nlin.PS
paper · pdf · doi:10.1103/physreva.97.063604
published as Phys. Rev. A 97, 063604 (2018) · 11 pages, 6 figures, supplemental movies available at: http://nonlinear.sdsu.edu/~carreter/DS_DB.html
arxiv created 2018/04/01 · openalex publication_date 2018/06/08 · arxiv updated 2018/06/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
In the present work, we develop an adiabatic invariant approach for the evolution of quasi-one-dimensional (stripe) solitons embedded in a two-dimensional Bose-Einstein condensate. The results of the theory are obtained both for the one-component case of dark soliton stripes, as well as for the considerably more involved case of the two-component dark-bright (alias ``filled dark'') soliton stripes. In both cases, analytical predictions regarding the stability and dynamics of these structures are obtained. One of our main findings is the determination of the instability modes of the waves as a function of the parameters of the system (such as the trap strength and the chemical potential). Our analytical predictions are favorably compared with results of direct numerical simulations.