Boundary-Dependent Chaotic Regions for a Bose-Einstein Condensate Interacting with Laser Field

Zhao-Xian Yu, Shuo Jin, Zhi-Yong Jiao +1 more

Zhu Qian-Quan, Hai Wen-Hua, Haiming Deng

Spatial chaos of a Bose–Einstein condensate perturbed by a weak laser standing wave and a weak laser δ pulse is studied. By using the perturbed chaotic solution we investigate the new type of Melnikov chaotic regions, which depend on an integration constant c 0 determined by the boundary conditions. It is shown that when the | c 0 | values are small, the chaotic region corresponds to small values of laser wave vector k , and the chaotic region for the larger k values is related to the large | c 0 | values. The result is confirmed numerically by finding the chaotic and regular orbits on the Poincaré section for the two different parameter regions. Thus, for a fixed c 0 the adjustment of k from a small value to large value can transform the chaotic region into the regular one or on the contrary, which suggests a feasible method for eliminating or generating Melnikov chaos.

Yeong E. Kim, Alexander L. Zubarev

Boli Xia, Wenhua Hai

For a weakly and periodically driven two-component Bose-Einstein condensate (BEC) the Melnikov chaotic solution and boundedness conditions are derived from a direct perturbation theory that leads to the chaotic regions in the parameter space. Differing from the usual results, the chaotic regions depend on the initial conditions directly and can be controlled by setting the initial phase and modulating the frequency and amplitude of laser. It is demonstrated that the order-chaos transitions can be controlled by tuning the laser frequency only.

Shiguang Rong, Wenhua Hai, Qiongtao Xie +1 more

We study the effects of chaotic dynamics on atomic tunneling between two weakly coupled Bose-Einstein condensates driven by a double-frequency periodic field. Under the Melnikov's chaos criterion, we divide the parameter space into three parts of different types, regular region, low-chaoticity region, and high-chaoticity region, and give the accurate boundaries between the different regions. It is found that the atomic tunneling can be enhanced in the presence of chaos. Particularly, in the high-chaoticity regions, the chaos-induced inversion of the population imbalance is observed numerically.

Jibin Li