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arXiv · 1810.07394

Hybrid matter-wave - microwave solitons on the lattice

Zhihuan Luo·Weiwen Luo·Wei Pang·Zhijie Mai·Yongyao Li·Boris A. Malomed
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Abstract

We introduce a two-component system which models a pseudospinor Bose-Einstein condensate (BEC), with a microwave field coupling its two components. The feedback of BEC of the field (the local-field effect) is taken into account by dint of the respective Poisson equation, which is solved using the Green's function. This gives rise to an effective long-range self-trapping interaction, which may act alone, or be combined with the contact cubic nonlinearity. The system is made discrete by loading the BEC into a deep optical-lattice potential. Numerical solutions demonstrate that onsite-centered fundamental solitons are stable in the cases of attractive or zero contact interactions, while offsite-centered solitons are unstable. In the case of the repulsive onsite nonlinearity, offsite solitons are stable, while their onsite-centered counterparts are stable only at sufficiently small values of the norm, where bistability between the off- and onsite-centered mode takes place. The shape of the onsite-centered solitons is very accurately predicted by a variational approximation (which includes essential technical novelties). Spatially-antisymmetric (\textquotedblleft twisted") solitons are stable at small values of the norm, being unstable at larger norms. In the strongly asymmetric version of the two-component system, which includes the Zeeman splitting, the system is reduced to a single discrete Gross-Pitaevskii equation, by eliminating the small higher-energy component.

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Zhihuan Luo, Weiwen Luo, Wei Pang, Zhijie Mai, Yongyao Li, Boris A. Malomed. 2018-10-17. Hybrid matter-wave - microwave solitons on the lattice. https://doi.org/10.1016/j.cnsns.2019.04.008

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