Quantum coherence as a signature of chaos
Quantum coherence as a signature of chaos
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DOI：
10.1103/physrevresearch.3.023214
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发表时间：
2021-06-17
影响因子：
4.2
通讯作者：
Zanardi, Paolo
中科院分区：
文献类型：
--
作者：
Anand, Namit;Styliaris, Georgios;Zanardi, Paolo
我们建立了一个严格的量子相干性和量子混沌之间的联系，采用相干措施起源于资源理论框架作为量子混沌的诊断工具。我们在两个不同的层面上量化这种联系：量子态和量子通道。在国家的水平上，我们展示了如何几个良好的研究量词的混乱，事实上，量子相干措施伪装（或密切相关）。我们进一步这种连接的所有量子相干措施，使用工具从优控制理论。然后，我们数值研究的混沌与可积本征态的相干性，并找到很好的协议与随机矩阵理论在大部分的频谱。在通道的水平上，我们表明，相干产生功率（CGP）-多少相干的动态过程平均产生的措施-出现作为一个子部分的时间有序的相关器（OTOC），在多体系统中的信息置乱措施。通过对（不可积）横场伊辛模型的数值模拟，我们证明了OTOC和CGP捕获量子递归的定量方式是相同的。此外，利用随机矩阵理论，我们分析了Haar和Gaussian系综的OTOC-CGP连接。在结束时，我们评论我们的相干性为基础的签名的混乱与其他诊断，即，Loschirche回声，OTOC和频谱形状因子。
We establish a rigorous connection between quantum coherence and quantum chaos by employing coherence measures originating from the resource theory framework as a diagnostic tool for quantum chaos. We quantify this connection at two different levels: quantum states and quantum channels. At the level of states, we show how several well-studied quantifiers of chaos are, in fact, quantum coherence measures in disguise (or closely related to them). We further this connection for all quantum coherence measures by using tools from majorization theory. Then we numerically study the coherence of chaotic-versus-integrable eigenstates and find excellent agreement with random matrix theory in the bulk of the spectrum. At the level of channels, we show that the coherence-generating power (CGP)-a measure of how much coherence a dynamical process generates on average-emerges as a subpart of the out-of-time-ordered correlator (OTOC), a measure of information scrambling in many-body systems. Via numerical simulations of the (nonintegrable) transverse-field Ising model, we show that the OTOC and CGP capture quantum recurrences in quantitatively the same way. Moreover, using random matrix theory, we analytically characterize the OTOC-CGP connection for the Haar and Gaussian ensembles. In closing, we remark on how our coherence-based signatures of chaos relate to other diagnostics, namely, the Loschmidt echo, OTOC, and the Spectral Form Factor.