2011/09/26 by Challenger Mishra, C. K. Mishra, Mishra, Challenger +7
Physics and Astronomy · #Advanced Fiber Laser Technologies #FOS: Physical sciences #Nonlinear Photonic Systems #Quantum Gases (cond-mat.quant-gas) #Quantum optics and atomic interactions #cond-mat.quant-gas
paper · pdf · doi:10.48550/arxiv.1109.5571
8 pages, 7 figures
arxiv created 2011/09/26 · openalex publication_date 2011/09/26 · openalex created_date 2016/06/24 · arxiv updated 2016/11/25 · openalex updated_date 2026/07/28
The interacting atom-molecule BEC (AMBEC) dynamics is investigated in the mean field ap- proach. The presence of atom-atom, atom-molecule and molecule-molecule interactions, coupled with a characteristically different interaction representing atom-molecule interconversion, endows this system with nonlinearities, which differ significantly from the standard Gross-Pitaevskii (GP) equation. Exact localized solutions are found to belong to two distinct classes. The first ones are analogous to the soliton solutions of the weakly coupled GP equation, whereas the second non- equivalent class is related to the solitons of the strongly coupled BEC. Distinct parameter domains characterize these solitons, some of which are analogous to the complex profile Bloch solitons in magnetic systems. These localized solutions are found to represent a variety of phenomena, which include co-existence of both atom-molecule complex and miscible-immiscible phases. Numerical sta- bility is explicitly checked, as also the stability analysis based on the study of quantum uctuations around our solutions. We also find out the domain of modulation instability in this system.