开放系统动力学与控制的量子条件
Quantum Conditions on Dynamics and Control in Open Systems
摘要：
得到了与环境耦合的系统动力学控制的量子条件。具体地，考虑最初在维度$M_{0}$的系统子空间$H_{0}$中的系统，其演化以填充维度$M_{1}$、$M_{2}$的系统子空间$H_{1}$、$H_{2}$。那么在$H_0$中总是存在一个初始状态，如果$M_{0}>dM_{2},$，则该初始状态不会演化为$H_2$，其中$2 \leq d \leq (M_0 +M_1 +M_2)^2$是Kraus表示中的算子数。值得注意的是，最大$d$可以远小于浴槽的尺寸。如果不满足该条件，则来自$H_{0}$的避免$H_{2}$的动力学只能在严格条件下物理地获得。从分子动力学和光谱学，即供体到受体的能量转移的一个例子，提供。
英文摘要：
Quantum conditions on the control of dynamics of a system coupled to an environment are obtained. Specifically, consider a system initially in a system subspace $H_{0}$ of dimensionality $M_{0}$, which evolves to populate system subspaces $H_{1}$, $H_{2}$ of dimensionality $M_{1}$, $M_{2}$. Then there always exists an initial state in $H_0$ that does not evolve into $H_2$ if $M_{0}>dM_{2},$ where $2 \leq d \leq (M_0 +M_1 +M_2)^2$ is the number of operators in the Kraus representation. Note, significantly, that the maximum $d$ can be far smaller than the dimension of the bath. If this condition is not satisfied then dynamics from $H_{0}$ that avoids $H_{2}$ can only be attained physically under stringent conditions. An example from molecular dynamics and spectroscopy, i.e. donor to acceptor energy transfer, is provided.
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