Publication: Effective Josephson dynamics in resonantly driven Bose-Einstein condensates
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2013-10-07
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IOP Publishing
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Abstract
We show that the orbital Josephson effect appears in a wide range of driven atomic Bose-Einstein condensed systems, including quantum ratchets, double wells and box potentials. We use three separate numerical methods: the Gross-Pitaevskii equation, exact diagonalization of the few-mode problem and the multi-configurational time-dependent Hartree for bosons algorithm. We establish the limits of mean-field and few-mode descriptions, demonstrating that the few-mode approximation represents the full many-body dynamics to high accuracy in the weak driving limit. Among other quantum measures, we compute the instantaneous particle current and the occupation of natural orbitals. We explore four separate dynamical regimes, the Rabi limit, chaos, the critical point and self-trapping; a favorable comparison is found even in the regimes of dynamical instabilities or macroscopic quantum self-trapping. Finally, we present an extension of the (t, t')-formalism to general time-periodic equations of motion, which permits a systematic description of the long-time dynamics of resonantly driven many-body systems, including those relevant to the orbital Josephson effect.
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© IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.
The authors acknowledge support from Spain’s MINECO through grant no. FIS2010-21372 and the Ramón y Cajal program (CEC), the Comunidad de Madrid through Grant Microseres, the Heidelberg Center for Quantum Dynamics (LDC), the Alexander von Humboldt Foundation (LDC) and the US National Science Foundation under grant PHY-1067973 and PHY-1306638 (LDC).
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