Controlling Chaos in a Bose-Einstein Condensate

摘要

The spatial structure of a Bose-Einstein condensate (BEC) loaded into an optical lattice potential is investigated and the spatially chaotic distributions of the condensates are revealed. Modulating laser intensity or frequency and treating them as control signal, control of the chaos in the system is carried out by using period-parameter-modulation. The chaotic behavior can be well controlled to enter into periodicity by modulating the laser intensity or frequency. Numerical simulation shows that there are different periodic orbits corresponding to different modulation intensity and modulating frequency only if the maximum Lyapunov exponent of the system is negative. The maximum Lyapunov exponent as a function of modulation intensity and modulating frequency is calculated respectively. The period is different for different modulation intensity at the same modulation frequency, or for different modulation frequency at the same modulation intensity.