时间无卷积广义主方程中核函数的精确解和高阶微扰展开:在自旋-玻色模型和激发态能量转移中的应用

The time-convolutionless (TCL) quantum master equation provides a powerful tool to simulate reduced dynamics of a quantum system coupled to a bath. The key quantity in the TCL master equation is the so-called kernel or generator, which describes effects of the bath degrees of freedom. Since the exact TCL generators are usually hard to calculate analytically, most applications of the TCL generalized master equation have relied on approximate generators using second and fourth order perturbative expansions. By using the hierarchical equation of motion (HEOM) and extended HEOM methods, we present a new approach to calculating the exact TCL generator and its high order perturbative expansions. The new approach is applied to the spin-boson model with different sets of parameters, to investigate the convergence of the high order expansions of the TCL generator. We also discuss circumstances where the exact TCL generator becomes singular for the spin-boson model, and a model of excitation energy transfer in the Fenna-Matthews-Olson complex.     

3,5-二氯水杨醛缩罗丹明B酰腙的合成及对Cu2+高选择性识别

设计合成了一种可逆的Cu~(2+)比色探针3,5-二氯水杨醛缩罗丹明B酰腙(L),采用IR、~1H NMR、~(13)C NMR、元素分析和X射线单晶衍射对其结构进行了表征。利用紫外-可见吸收光谱考察了探针对金属离子的识别性能,实验结果表明,探针L在乙腈/乌洛托品(pH 5.6)缓冲体系中,当加入Cu~(2+)后,溶液从无色变为玫瑰红色,而加入其它金属离子,溶液颜色几乎无变化,可实现3,5-二氯水杨醛缩罗丹明B酰腙探针对Cu~(2+)高灵敏、专一显色响应,最低检测限达到了9.30×10~(-8)mol·L~(-1)。