Controlling chaos in a Bose-Einstein condensate loaded into a moving optical lattice potential

2008 ◽  
Vol 107 (5) ◽  
pp. 734-737 ◽  
Author(s):  
Zhixia Wang ◽  
Xihe Zhang ◽  
Ke Shen
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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