Non-autonomous bright matter wave solitons in spinor Bose–Einstein condensates

2013/11/11 by T. Kanna, R. Babu Mareeswaran, K. Sakkaravarthi
Physics and Astronomy · #Bose–Einstein condensate #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Gaussian #Integrable system #Mathematical physics #Matter wave #Nonlinear Photonic Systems #Nonlinear system #Physics #Quantum #Quantum mechanics #Rogue wave #Soliton #Spinor #Strong Light-Matter Interactions #cond-mat.other #nlin.PS

paper · pdf · doi:10.1016/j.physleta.2013.11.002

published as Physics Letters A 378 (2014) 158 · Appeared in Physics Letters A: 13 pages, 10 figures

openalex publication_date 2013/11/11 · arxiv created 2013/11/22 · arxiv updated 2014/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate the dynamics of bright matter wave solitons in spin-1 Bose-Einstein condensates with time modulated nonlinearities. We obtain soliton solutions of an integrable autonomous three-coupled Gross-Pitaevskii (3-GP) equations using Hirota's method involving a non-standard bilinearization. The similarity transformations are developed to construct the soliton solutions of non-autonomous 3-GP system. The non-autonomous solitons admit different density profiles. An interesting phenomenon of soliton compression is identified for kink-like nonlinearity coefficient with Hermite-Gaussian-like potential strength. Our study shows that these non-autonomous solitons undergo non-trivial collisions involving condensate switching.

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