Numerical experiment in Lipkin model shows that, in quantum system with global chaotic classical limit, the temporal mean of the expectation value of an observable is approximately equal to the average over the basic states of Hilbert space, if the wavefunction is initially either a coherent wave packet or the common eigenstates of a complete set of observables, and the observable is independent of the Hamiltonian. The mechanism is the absence of KAM barrier which prevents the spread of wavefunction. This can serve as a quantum signature of classical chaos.

中文翻译：

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经典遍历性量子对应的数值证据

Lipkin 模型中的数值实验表明，在具有全局混沌经典极限的量子系统中，如果波函数最初是相干波，则可观测量的期望值的时间平均值近似等于希尔伯特空间基本状态的平均值包或一组完整的可观测量的公共本征态，并且可观测量独立于哈密顿量。其机制是不存在阻止波函数传播的 KAM 势垒。这可以作为经典混沌的量子签名。