Chaotic dynamics of an atomic Bose-Einstein condensate in a frequency-modulated cavity QED

2021 ◽  
Author(s):  
Ebrahim Ghasemian ◽  
Mohammad Tavassoly
Keyword(s):  
Cavity Qed ◽  
Chaotic Dynamics ◽  
Einstein Condensate ◽  
Bose Einstein Condensate ◽  
Bose Einstein

scholarly journals An adjustable-length cavity and Bose–Einstein condensate apparatus for multimode cavity QED

2015 ◽  
Vol 17 (4) ◽  
pp. 043012 ◽  
Author(s):  
Alicia J Kollár ◽  
Alexander T Papageorge ◽  
Kristian Baumann ◽  
Michael A Armen ◽  
Benjamin L Lev
Keyword(s):  
Cavity Qed ◽  
Einstein Condensate ◽  
Bose Einstein Condensate ◽  
Bose Einstein

scholarly journals Erratum: An adjustable-length cavity and Bose–Einstein condensate apparatus for multimode cavity QED (2015 New J. Phys. 17 043012)

2015 ◽  
Vol 17 (5) ◽  
pp. 059601
Author(s):  
Alicia J Kollár ◽  
Alexander T Papageorge ◽  
Kristian Baumann ◽  
Michael A Armen ◽  
Benjamin L Lev
Keyword(s):  
Cavity Qed ◽  
Einstein Condensate ◽  
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.

scholarly journals Cavity QED with a Bose–Einstein condensate

Nature ◽  
2007 ◽  
Vol 450 (7167) ◽  
pp. 268-271 ◽  
Author(s):  
Ferdinand Brennecke ◽  
Tobias Donner ◽  
Stephan Ritter ◽  
Thomas Bourdel ◽  
Michael Köhl ◽  
...  
Keyword(s):  
Cavity Qed ◽  
Einstein Condensate ◽  
Bose Einstein Condensate ◽  
Bose Einstein

scholarly journals Oscillations in a parametrically excited Bose-Einstein condensate in combined harmonic and optical lattice trap

Open Physics ◽  
2012 ◽  
Vol 10 (2) ◽  
Author(s):  
Priyanka Verma ◽  
Aranya Bhattacherjee ◽  
Man Mohan
Keyword(s):  
Optical Lattice ◽  
Chaotic Dynamics ◽  
Einstein Condensate ◽  
Harmonic Trap ◽  
Time Dependent ◽  
Time Varying ◽  
Numerical Techniques ◽  
Bose Einstein Condensate ◽  
Parametric Instabilities ◽  
Bose Einstein

AbstractIn this work, we study parametric excitations in an elongated cigar-shaped BEC in a combined harmonic trap and a time dependent optical lattice by using numerical techniques. We show that there exists a relative competition between the harmonic trap which tries to spatially localize the BEC and the time varying optical lattice which tries to delocalize the BEC. This competition gives rise to parametric excitations (oscillations of the BEC width). Regular oscillations disappear when one of the competing factors, i.e. the strength of harmonic trap or the strength of optical lattice, dominates. Parametric instabilities (chaotic dynamics) arise for large variations in the strength of the optical lattice.

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