Dynamics and adiabatic transport of multi-component Bose-Einstein condensate

Nonlinear dynamics (transport) of multi-component Bose-Einstein condensate (BEC) is investigated in the mean field approximation (Gross-Pitaevskii equation). A general formalism for two main cases of interest, i) a single condensate in N-well trap and ii) N-component BEC in a single trap, is presented. Analogy between multi-photon processes and tunneling scenarios in multi-well traps is demonstrated. The adiabatic irreversible transport of BEC between the wells is considered in detail with implementation of the pulsed Landau-Zener (LZ) and Stimulated Adiabatic Raman Passage (STIRAP) protocols. The adiabatic transfer is driven by time-dependent monitoring the trap control parameters. It is shown that both protocols can provide a complete and robust transport. The nonlinearity, being detrimental in STIRAP, becomes even useful in LZ thus making the later protocol more effective and universal. The perspectives of using BEC transport for generation of geometric phases and other applications are
discussed.