2009/04/30 by Yan Chen, Ke-Zhi Zhang, Kezhi Zhang +1
Chemistry · Computer Science · Physics and Astronomy · #Bifurcation #Bifurcation theory #Bose–Einstein condensate #Chaotic #Chemistry #Cold Atom Physics and Bose-Einstein Condensates #Hopf bifurcation #Nonlinear Dynamics and Pattern Formation #Nonlinear system #Oscillation (cell signaling) #Physics #Population #Quantum #Quantum mechanics #Statistical physics #Strong Light-Matter Interactions #Trapping #cond-mat.quant-gas
paper · pdf · doi:10.1088/0953-4075/42/18/185302
11 pages, 6 figures
arxiv created 2009/05/07 · openalex publication_date 2009/09/08 · arxiv updated 2015/05/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the dynamic behaviour of Bose–Einstein condensates with two- and three-atom interactions in optical lattices with analytical and numerical methods. It is found that the steady-state relative population displays tuning-fork bifurcation when the system parameters are changed to certain critical values. In particular, the existence of the three-body interaction not only transforms the bifurcation point of the system but also greatly affects the macroscopic quantum self-trapping behaviours associated with the critically stable steady-state solution. In addition, we investigated the influence of the initial conditions, three-body interaction, and the energy bias on the macroscopic quantum self-trapping. Finally, by applying the periodic modulation on the energy bias, we observed that the relative population oscillation exhibits a process from order to chaos, via a series of period-doubling bifurcations.