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arXiv · 1311.6708

Non-autonomous bright-dark solitons and Rabi oscillations in multi-component Bose-Einstein condensates

T. Kanna·R. Babu Mareeswaran·F. Tsitoura·H. E. Nistazakis·D. J. Frantzeskakis
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Abstract

We study the dynamics of non-autonomous bright-dark matter-wave solitons in two- and three- component Bose-Einstein condensates. Our setting includes a time-dependent parabolic potential and scattering length, as well as Rabi coupling of the separate hyperfine states. By means of a similarity transformation, we transform the non-autonomous coupled Gross-Pitaevskii equations into the completely integrable Manakov model with defocusing nonlinearity, and construct the explicit form of the non-autonomous soliton solutions. The propagation characteristics for the one-soliton state, and collision scenarios for multiple soliton states are discussed in detail for two types of time-dependent nonlinearities: a kink-like one and a periodically modulated one, with appropriate time-dependence of the trapping potential. We find that in the two-component condensates the nature of soliton propagation is determined predominantly by the nature of the nonlinearity, as well as the temporal modulation of the harmonic potential; switching in this setting is essentially due to Rabi coupling. We also perform direct numerical simulation of the non-autonomous two-component coupled Gross-Pitaevskii equations to corroborate our analytical predictions. More interestingly, in the case of the three-component condensates, we find that the solitons can lead to collision-induced energy switching (energy-sharing collision), that can be profitably used to control Rabi switching or vice-versa. An interesting possibility of reversal of the nature of the constituent soliton, i.e., bright (dark) into dark (bright) due to Rabi coupling is demonstrated in the three-component setting.

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T. Kanna, R. Babu Mareeswaran, F. Tsitoura, H. E. Nistazakis, D. J. Frantzeskakis. 2013-11-21. Non-autonomous bright-dark solitons and Rabi oscillations in multi-component Bose-Einstein condensates. https://doi.org/10.1088/1751-8113%2F46%2F47%2F475201

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