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Study of Chaos in Bose-Einstein Condensates

Author: ZhaoJin
Tutor: ShenKe
School: Changchun University of Science and Technology
Course: Theoretical Physics
Keywords: Bose - Einstein condensates Motion light grid Double-well potential Chaos
CLC: O415.5
Type: Master's thesis
Year: 2008
Downloads: 97
Quote: 1
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Abstract


Bose - Einstein condensate the body ( BEC ) in dilute atomic gases to achieve aroused widespread concern , it has many physical phenomena , such as chaos, superfluid quantum phase transition Josephson effect . Gross-Pitaevskii equation in the framework of the mean field theory as the main model to discuss the chaotic nature of the motion light grid and double-well potential weak open Bose - Einstein condensates . At the same time , the use of cycle modulating-parameter chaotic control is briefly discussed. Firstly, the main research in motion light grid Bose - Einstein condensate nature of the temporal evolution of the body , to consider the damping effect , analyzed and discussed the system Melnikov chaos and chaotic parameter region of the system is given . By numerical analysis of the system transient chaotic characteristics , and simulate transient chaos and chaos to the steady-state process of change in the process of transient chaos final attractor undergone a series of period-doubling bifurcation ; Secondly this paper, imprisoned in a one-dimensional double-well potential weak open Bose - Einstein condensate , a two-mode approximation , get a description of the nature of the complexity of the system dynamics equations by standard linear stability analysis method to obtain the stable region , we found that by adjusting the parameters , you can make the system into the Lorenz chaotic state , macroscopic quantum state from custody , future experiments can provide some reference .

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CLC: > Mathematical sciences and chemical > Physics > Theoretical Physics > Nonlinear physics > Chaos Theory
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