New York University, 1555 Century Avenue, Pudong, Shanghai 200122, China.
NYU-ECNU Institute of Physics at NYU Shanghai, 3663 Zhongshan Road North, Shanghai 200062, China.
Phys Rev Lett. 2016 Apr 15;116(15):150504. doi: 10.1103/PhysRevLett.116.150504.
The distribution of coherence in multipartite systems is examined. We use a new coherence measure with entropic nature and metric properties, based on the quantum Jensen-Shannon divergence. The metric property allows for the coherence to be decomposed into various contributions, which arise from local and intrinsic coherences. We find that there are trade-off relations between the various contributions of coherence, as a function of parameters of the quantum state. In bipartite systems the coherence resides on individual sites or is distributed among the sites, which contribute in a complementary way. In more complex systems, the characteristics of the coherence can display more subtle changes with respect to the parameters of the quantum state. In the case of the XXZ Heisenberg model, the coherence changes from a monogamous to a polygamous nature. This allows us to define the shareability of coherence, leading to monogamy relations for coherence.
我们研究了多体系统中的相干分布。我们使用了一种新的相干度量，它具有熵性质和度量性质，基于量子 Jensen-Shannon 散度。度量性质允许将相干分解为各种贡献，这些贡献来自局部和内在的相干。我们发现，作为量子态参数的函数，各种相干贡献之间存在权衡关系。在二分量系统中，相干位于单个站点上，或者分布在以互补方式贡献的站点上。在更复杂的系统中，相干的特征相对于量子态的参数可能会发生更微妙的变化。在 XXZ Heisenberg 模型的情况下，相干从单态变为多态。这使我们能够定义相干的可共享性，从而导致相干的单配性关系。
