For quantum state trajectory tracking of density matrix in Liouville equation of quantum systems,with the help of concept in quantum system control,one can apply unitary transformation both to controlled system and fr...For quantum state trajectory tracking of density matrix in Liouville equation of quantum systems,with the help of concept in quantum system control,one can apply unitary transformation both to controlled system and free-evolutionary target system such as to change the time-variant and non-stationary target system into a stationary state.Therefore,the quantum state trajectory tracking problem becomes a steering one.State steering control law of the system transformed is designed by means of the Lyapunov stability theorem.Finally,numerical simulation experiments are given for a five-level energy quantum system.The comparison analysis of original system's trajectory tracking with other method illustrates the advantage in control time of the method proposed.展开更多
本文讨论了量子振子在温度为 T 的热池中的布朗运动.在弱偶合近似下,马尔可夫型的主方程通过应用 Prigogine 的碰撞算子形式导出.应用母函数的方法,我们精确解了这主方程.在趋向平衡态的弛豫过程中,基态和各激发态间的跃迁规律在二次量...本文讨论了量子振子在温度为 T 的热池中的布朗运动.在弱偶合近似下,马尔可夫型的主方程通过应用 Prigogine 的碰撞算子形式导出.应用母函数的方法,我们精确解了这主方程.在趋向平衡态的弛豫过程中,基态和各激发态间的跃迁规律在二次量子化表象中直接给出.展开更多
基金supported in part by the National Natural Science Founda-tion of China(61074050)the Doctoral Fund of Ministry of Education of China(20103402110044)
文摘For quantum state trajectory tracking of density matrix in Liouville equation of quantum systems,with the help of concept in quantum system control,one can apply unitary transformation both to controlled system and free-evolutionary target system such as to change the time-variant and non-stationary target system into a stationary state.Therefore,the quantum state trajectory tracking problem becomes a steering one.State steering control law of the system transformed is designed by means of the Lyapunov stability theorem.Finally,numerical simulation experiments are given for a five-level energy quantum system.The comparison analysis of original system's trajectory tracking with other method illustrates the advantage in control time of the method proposed.
