Dynamics in multiple-well Bose-Einstein condensates

Abstract

We study the dynamics of three-dimensional weakly linked Bose-Einstein condensates using a multimode model with an effective interaction parameter. The system is confined by a ring-shaped four-well trapping potential. By constructing a two-mode Hamiltonian in a reduced highly symmetric phase space, we examine the periodic orbits and calculate their time periods both in the self-trapping and Josephson regimes. The dynamics in the vicinity of the reduced phase space is investigated by means of a Floquet multiplier analysis, finding regions of different linear stability and analyzing their implications on the exact dynamics. The numerical exploration in an extended region of the phase space demonstrates that two-mode tools can also be useful for performing a partition of the space in different regimes. Comparisons with Gross-Pitaevskii simulations confirm these findings and emphasize the importance of properly determining the effective on-site interaction parameter governing the multimode dynamics.

12 pages, 13 figures

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Cited by in corpus (7)

• Regular and chaotic behavior of collective atomic motion in two-component Bose-Einstein condensates
• Blocked populations in ring-shaped optical lattices
• Bose-Einstein condensates in rotating ring-shaped lattices: a multimode model
• Vortex nucleation processes in rotating lattices of Bose-Einstein condensates ruled by the on-site phases
• Rotation-driven transition into coexistent Josephson modes in an atomtronic dc-SQUID
• Modeled vortex dynamics on a Bose-Einstein condensate in a rotating lattice
• Arnold web and dynamical tunneling in a four-site Bose-Hubbard model