Collective excitations and tunneling dynamics in long bosonic Josephson junctions

M. R. Momme; Y. M. Bidasyuk; M. Weyrauch

doi:10.1103/PhysRevA.100.033601

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Collective excitations and tunneling dynamics in long bosonic Josephson junctions

M. R. Momme, Y. M. Bidasyuk, M. Weyrauch

DOI 10.1103/PhysRevA.100.033601 · Physical Review A

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Abstract

We investigate the low-energy dynamics of two coupled anisotropic Bose-Einstein condensates forming a long Josephson junction. The theoretical study is performed in the framework of the two-dimensional Gross-Pitaevskii equation and the Bogoliubov–de Gennes formalism. We analyze the excitation spectrum of the coupled Bose condensates and show how low-energy excitations of the condensates lead to multiple-frequency oscillations of the atomic populations in the two wells. This analysis generalizes the standard bosonic Josephson equation approach. We also develop a one-dimensional hydrodynamic model of the coupled condensates, that is capable of reproducing the excitation spectrum and population dynamics of the system.