Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice
arXiv:1307.7694 · doi:10.1103/PhysRevA.88.013636
Abstract
We study the population dynamics of a ring-shaped optical lattice with a high number of particles per site and a low, below ten, number of wells. Using a localized on-site basis defined in terms of stationary states, we were able to construct a multiple-mode model depending on relevant hopping and on-site energy parameters. We show that in case of two wells, our model corresponds exactly to the latest improvement of the two-mode model. We derive a formula for the self-trapping period, which turns out to be chiefly ruled by the on-site interaction energy parameter. By comparing to time dependent Gross-Pitaevskii simulations, we show that the multimode model results can be enhanced in a remarkable way over all the regimes by only renormalizing such a parameter. Finally, using a different approach which involves only the ground state density, we derive an effective interaction energy parameter that shows to be in accordance with the renormalized one.
18 pages, 12 figures
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Cited by in corpus (9)
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- Effective two-mode model in Bose-Einstein condensates versus Gross-Pitaevskii simulations
- Dynamics in multiple-well Bose-Einstein condensates
- Bose-Einstein condensates in rotating ring-shaped lattices: a multimode model
- Blocked populations in ring-shaped optical lattices
- Rotation-driven transition into coexistent Josephson modes in an atomtronic dc-SQUID
- dc to ac Josephson transition in a dc atom superconducting quantum interference device
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