Measuring entanglement entropies in many-body systems
Measuring entanglement entropies in many-body systems
复制标题
测量多体系统中的纠缠熵
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
Alessandro Silva
中科院分区：
文献类型：
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作者：
I. Klich;G. Refael;Alessandro Silva
我们探讨了量子多体系统的纠缠熵与相应的、适当选择的观测量的分布之间的关系。这种关系对于实际测量纠缠熵是必要的。我们表明，在一般情况下，香农熵的概率分布的某些对称可观的熵给出了一个下界。在某些情况下，这个界限是饱和的，并直接给出熵。我们还展示了概率分布包含足够信息来提取熵的其他情况：我们展示了如何在几个例子中做到这一点，包括BEC波函数，迪凯模型，XY自旋链和具有强随机性的链。
We explore the relation between entanglement entropy of quantum many-body systems and the distribution of corresponding, properly selected, observables. Such a relation is necessary to actually measure the entanglement entropy. We show that, in general, the Shannon entropy of the probability distribution of certain symmetry observables gives a lower bound to the entropy. In some cases this bound is saturated and directly gives the entropy. We also show other cases in which the probability distribution contains enough information to extract the entropy: we show how this is done in several examples including BEC wave functions, the Dicke model, XY spin chain, and chains with strong randomness.