Transient and stationary chaos of a Bose-Einstein condensate loaded into a moving optical lattice potential

2004 ◽  
Vol 70 (3) ◽  
Author(s):  
Guishu Chong ◽  
Wenhua Hai ◽  
Qiongtao Xie
2018 ◽  
Vol 32 (23) ◽  
pp. 1850254
Author(s):  
Eren Tosyali ◽  
Fatma Aydogmus ◽  
Ayberk Yilmaz

We investigate a Bose–Einstein condensate held in a 1D tilted bichromatical optical lattice potential by constructing its Poincaré sections in phase space. We explore dynamic of the system based on the relations between the system parameters and the solution behaviors. It is demonstrated that the system exhibits shock-wave like dynamic. The power spectrum graphs, bifurcation and Lyapunov exponents of BEC system are also presented.


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