Universal Constraint for Relaxation Rates for Quantum Dynamical Semigroup
Universal Constraint for Relaxation Rates for Quantum Dynamical Semigroup
复制标题
量子动力学半群弛豫率的通用约束
DOI：
10.1103/physrevlett.127.050401
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发表时间：
2021
影响因子：
8.6
通讯作者：
and Yasuhito Shishido
中科院分区：
文献类型：
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作者：
Dariusz Chruscinski;Gen Kimura;Andrzej Kossakowski;and Yasuhito Shishido
讨论了开放量子系统弛豫率的一个一般性质。我们发现了一个有趣的约束松弛率，普遍适用于相当大的类的量子动力学，例如，弱耦合制度，以及熵不减演化。我们推测这个约束是普遍的，即，它对所有量子动力学半群都成立。数值分析支持了这一猜想。此外，我们表明，所提供的具体模型，饱和的约束的约束是紧的。这种普遍性标志着朝着完全积极性的物理表征迈出了重要的一步，因为这种约束可以在实验中直接验证。因此，它提供了完全积极性的物理表现。我们的猜想也有两个重要的含义：它提供了（i）一个普遍的限制量子信道的频谱和（ii）一个必要条件，以确定是否一个给定的信道是符合马尔可夫演化。
A general property of relaxation rates in open quantum systems is discussed. We find an interesting constraint for relaxation rates that universally holds in fairly large classes of quantum dynamics, e.g., weak coupling regimes, as well as for entropy nondecreasing evolutions. We conjecture that this constraint is universal, i.e., it is valid for all quantum dynamical semigroups. The conjecture is supported by numerical analysis. Moreover, we show that the conjectured constraint is tight by providing a concrete model that saturates the bound. This universality marks an essential step toward the physical characterization of complete positivity as the constraint is directly verifiable in experiments. It provides, therefore, a physical manifestation of complete positivity. Our conjecture also has two important implications: it provides (i) a universal constraint for the spectra of quantum channels and (ii) a necessary condition to decide whether a given channel is consistent with Markovian evolution.