We consider the coupling effect between interdot tunneling coupling and external optical control field to study the linear optical property and the formation of temporal optical solitons in a quantum dot molecules system, analytically. The results show that the double tunneling induced transparency (TIT) windows are appeared in the absorption curve of probe field because of the formation of dynamic Stark splitting and quantum destructive interference effect from the two upper levels. Interestingly, the width of the TIT window becomes wider with the increasing intensity of the optical control field. We also find that the Kerr nonlinear effect of the probe field can be modulated effectively through coherent control both the control field and the interdot tunneling coupling in this system. Meanwhile, we demonstrate that the formation of dark or bright solitons can be practical regulated by varying the intensity of the optical control field.

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By developing a three-mode approximation, we derive dynamical equations governing a condensate in a symmetric three-well potential. Based on the dynamical equations, we numerically simulate the dynamical properties of a Bose-Einstein condensate in a symmetric three-well potential. It is shown that, for the zero-phase mode, atomic population in each well oscillates periodically with the amplitude dependent on the initial conditions, and there may exist a critical initial distribution. However, for the π-phase mode, it is possible for the system to exhibit a set of behaviors directly dependent on the ratio between the nonlinearity induced by the atom-atom interactions and the coupling of neighboring wells.

Enhancement of four-wave mixing process in a four-level double semiconductor quantum well * She Yan-Chao(佘彦超) a)b) , Zheng Xue-Jun(郑学军) a)b) † , and Wang Deng-Long(王登龙) a)b) ‡

By using multiple-scale method，we analytically study the nonlinear dynamical properties of an electromagnetically induced transparency medium with three-level atoms and a strong coupling light field. It is shown that a weak probe light beam can form spatial weak-light dark solitons. When it propagates along axial direction，the dark soliton will transforms into a steady spatial weak-light ring dark soliton，which results from the balance of the interplay between beam diffraction and refractive nonlinearity.