On CFT and quantum chaos
On CFT and quantum chaos
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关于 CFT 和量子混沌
DOI：
10.1007/jhep12(2016)110
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发表时间：
2016
影响因子：
5.4
通讯作者：
H. Verlinde
中科院分区：
文献类型：
--
作者：
G. Turiaci;H. Verlinde
我们进行了三项观察，有助于澄清CFT与量子混沌之间的关系。我们发现，任何1+1-D系统中，共形对称是非线性实现的混沌表现出两个主要特征：最大李雅普诺夫行为和频谱的Ruelle共振。我们使用这个洞察力来确定量子混沌的晶格模型，从亚费米自旋变量与Y系统给出的运动方程建立。最后，我们指出了CFT的Ruelle共振谱与轻、重算子间OPE系数的解析性质之间的关系。在我们的模型中，这个光谱与BTZ黑洞的准正常模式一致。
A bstractWe make three observations that help clarify the relation between CFT and quantum chaos. We show that any 1+1-D system in which conformal symmetry is non-linearly realized exhibits two main characteristics of chaos: maximal Lyapunov behavior and a spectrum of Ruelle resonances. We use this insight to identify a lattice model for quantum chaos, built from parafermionic spin variables with an equation of motion given by a Y-system. Finally we point to a relation between the spectrum of Ruelle resonances of a CFT and the analytic properties of OPE coefficients between light and heavy operators. In our model, this spectrum agrees with the quasi-normal modes of the BTZ black hole.