Physics – Condensed Matter – Quantum Gases
Scientific paper
2011-09-26
Physics
Condensed Matter
Quantum Gases
8 pages, 7 figures
Scientific paper
The interacting atom-molecule BEC (AMBEC) dynamics is investigated in the mean ?eld ap- proach. The presence of atom-atom, atom-molecule and molecule-molecule interactions, coupled with a characteristically di?erent interaction representing atom-molecule interconversion, endows this system with nonlinearities, which di?er signi?cantly from the standard Gross-Pitaevskii (GP) equation. Exact localized solutions are found to belong to two distinct classes. The ?rst 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 pro?le 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 ?nd out the domain of modulation instability in this system.
Das Priyam
Dastidar Krishna Rai
Mishra Challenger
Panigrahi Prasanta K.
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