2013/07/29 by D. M. Jezek, H. M. Cataldo
Chemistry · Physics and Astronomy · #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Lattice (music) #Multi-mode optical fiber #Optical fiber #Optical lattice #Optics #Physics #Population #Quantum mechanics #Spectroscopy and Laser Applications #Statistical physics #Strong Light-Matter Interactions #Trapping #cond-mat.quant-gas #physics.atom-ph #quant-ph
paper · pdf · doi:10.1103/physreva.88.013636
published as Phys. Rev. A 88, 013636 (2013) · 18 pages, 12 figures
arxiv created 2013/07/29 · openalex publication_date 2013/07/29 · arxiv updated 2013/07/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the population dynamics of a ring-shaped optical lattice with a high number of particles per site and a low (less than 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 the case of two wells, our model corresponds exactly to a recent 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 turns out to be in accordance with the renormalized one.