2018/01/24 by M. Nigro, P. Capuzzi, H. M. Cataldo +1 · 11 citations
Mathematics · Physics and Astronomy · #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Floquet theory #Hamiltonian (control theory) #Mathematics #Nonlinear system #Parameter space #Phase space #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Statistical physics #Strong Light-Matter Interactions #Trapping #cond-mat.quant-gas
paper · pdf · doi:10.1103/physreva.97.013626
published in Physical Review A 97(1) (American Physical Society) · 12 pages, 13 figures
openalex publication_date 2018/01/24 · arxiv created 2018/02/23 · arxiv updated 2018/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.