Weakly bound solitons and two-soliton molecules in dipolar Bose-Einstein condensates
arXiv:1812.09563 · doi:10.1088/1361-6455/ab0e1b
Abstract
Analytic expressions have been derived for the interaction potential between dipolar bright solitons and the binding energy of a two-soliton molecule. The properties of these localized structures are explored with a focus on their behavior in the weakly bound regime, with a small binding energy. Using the variational approach a coupled system of ordinary differential equations for the parameters of a soliton molecule is obtained for the description of their evolution. Predictions of the model are compared with numerical simulations of the governing nonlocal Gross-Pitaevskii equation and good qualitative agreement between them is demonstrated.
arXiv comment19 pages, 5 figures
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- Bright Matter-Wave Bound Soliton Molecules in Spin-1 Bose-Einstein Condensates with Non-autonomous Nonlinearities
- Generation of density waves in dipolar quantum gases by time-periodic modulation of atomic interactions
- Oscillations of a quasi-one-dimensional dipolar supersolid
- Single impurity atom embedded in a dipolar two-soliton molecule as a qubit