多种初条件下朗道-齐纳转化动力学的变分法研究

Variational Study of Landau-Zener Transition Dynamics Under Various Initial Conditions

利用数值严格的基于多重达维多夫D试探态的变分法,研究多种初始条件下与零温光子库相互作用的朗道-齐纳模型的动力学行为.利用变分法能够以共同的方式计算自旋与光子库演化的优势,提出了能够发现朗道-齐纳转化所涉及的能级和系统这些能级间跳转方式的一种方法.鉴于以薛定谔猫态为初态的朗道-齐纳动力学行为复杂性和它对量子计算的重要意义,还细致研究了以薛定谔猫态为初态的自旋和光子库的动力学行为,并分析了不同参数下薛定谔猫态初始态对稳态朗道-齐纳转化概率的影响,最后获得转化概率依赖初始态参数的拟合公式.该结果有助于深入理解朗道-齐纳动力学行为.

Using the numerically rigorous variational method based on multiple Davydov D2 Ansatz,the dynamics of the LZ model interacting with a photon bath at zero temperature is investigated.Owing to the advantage that the Davydov trial states can treat the spin and bath uniformly,a technique is proposed to find the energy levels and the jump modes between these levels involved in the LZ transitions.In view of the complexity of LZ dynamics,with Schr9 dinger-cat state as the initial state,and its importance to quantum computation,the dynamics of the spin and the photon bath with initial Schr9 dinger-cat state is studied in detail.Also,the influence of depends on the initial Schr9 dinger-cat state on the steady LZ transition probability under different parameters is analyzed and a fitting formula of the transition probability depending on the initial state perameters is obtained.The obtained results contribute to an in-depth understanding of the LZ dynamic behavior.