scholarly journals Nonlinear and chaotic dynamics of a Bose-Einstein condensate in an optical cavity

2014 ◽  
Vol 89 (3) ◽  
Author(s):  
M. Diver ◽  
G. R. M. Robb ◽  
G.-L. Oppo
Keyword(s):  
Chaotic Dynamics ◽  
Optical Cavity ◽  
Einstein Condensate ◽  
Bose Einstein Condensate ◽  
Bose Einstein

scholarly journals Bistable behavior of a two-mode Bose–Einstein condensate in an optical cavity

Laser Physics ◽  
2013 ◽  
Vol 23 (3) ◽  
pp. 035501 ◽  
Author(s):  
S Safaei ◽  
Ö E Müstecaplıoğlu ◽  
B Tanatar
Keyword(s):  
Optical Cavity ◽  
Einstein Condensate ◽  
Bistable Behavior ◽  
Bose Einstein Condensate ◽  
Bose Einstein

scholarly journals Synchronization and Stabilization of Chaotic Dynamics in a Quasi-1D Bose-Einstein Condensate

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
B. A. Idowu ◽  
U. E. Vincent
Keyword(s):  
Chaotic Dynamics ◽  
Chaotic Oscillation ◽  
Stable State ◽  
Control Design ◽  
Lyapunov Stability Theory ◽  
Einstein Condensate ◽  
Control Technique ◽  
Bose Einstein Condensate ◽  
The Stability ◽  
Bose Einstein

A nonlinear control is proposed for the exponential stabilization and synchronization of chaotic behaviour in a model of Bose-Einstein condensate (BEC). The active control technique is designed based on Lyapunov stability theory and Routh-Hurwitz criteria. The control design approach in both cases guarantees the stability of the controlled states. Whereas the synchronization of two identical BEC in their chaotic states can be realized using the scheme; a suitable controller is also capable of driving the otherwise chaotic oscillation to a stable state which could be expected in practice. The effectiveness of this technique is theoretically and numerically demonstrated.

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