Page curves for general interacting systems
Page curves for general interacting systems
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DOI：
10.1007/jhep12(2018)112
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发表时间：
2018-12
影响因子：
5.4
通讯作者：
Hiroyuki Fujita;Yuya O. Nakagawa;S. Sugiura;Masataka Watanabe
中科院分区：
文献类型：
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作者：
Hiroyuki Fujita;Yuya O. Nakagawa;S. Sugiura;Masataka Watanabe
我们详细计算了cTPQ态的Renyi纠缠熵作为子系统体积的函数，填补了我们先前工作的细节[24]，其中首次提出了公式。工作在一个大的总体积的限制，我们发现的Renyi纠缠熵的子系统的体积是可比的总系统的区域中的通用公式。该公式适用于无限温度极限以及一般的相互作用系统。例如，我们发现cTPQ态的第二Renyi熵以子系统体积的形式普遍地写成两个常数，（S2（β）=− ln K（β）+ln a（β）− ln 1+ a（β）− L+ 2），其中L是系统的总体积，a和K是两个待定常数。公式的使用已经在我们以前的工作中介绍过了，我们主要集中在公式本身的理论方面。除了推导Renyi Page曲线的公式外，还推导了von Neumann Page曲线的表达式，这在我们以前的工作中没有提出。
We calculate in detail the Renyi entanglement entropies of cTPQ states as a function of subsystem volume, filling the details of our prior work [24], where the formulas were first presented. Working in a limit of large total volume, we find universal formulas for the Renyi entanglement entropies in a region where the subsystem volume is comparable to that of the total system. The formulas are applicable to the infinite temperature limit as well as general interacting systems. For example we find that the second Renyi entropy of cTPQ states in terms of subsystem volume is written universally up to two constants,(S 2 (ℓ)=− ln K (β)+ ℓ ln a (β)− ln 1+ a (β)− L+ 2ℓ), where L is the total volume of the system and a and K are two undetermined constants. The uses of the formulas were already presented in our prior work and we mostly concentrate on the theoretical aspect of the formulas themselves. Aside from deriving the formulas for the Renyi Page curves, the expression for the von Neumann Page curve is also derived, which was not presented in our previous work.