论文标题
量子混乱过渡的签名短自旋链
Signatures of quantum chaos transition in short spin chains
论文作者
论文摘要
量子系统通常与混沌行为相关的量子系统的不一致性通常是一种概念，通常适用于不同指标的高维希尔伯特空间的案例，这表明这种行为表明了这种行为，对超时订购的相关器（OTOC）的长时间振荡的研究似乎是一种多功能工具，可以适应一个具有多种多样的自由度，这些工具可以适应一个多功能的自由度。使用这种方法，我们考虑了在核磁共振量子模拟器上的ISING自旋链测量局部运算符的测量时观察到的振荡[J. Li等人，物理。修订版X 7，031011（2017）]。我们表明，OTOC振荡的系统性在质量上很好地描述了仅有4个旋转的链条，即从无限链中继承的集成性到chaos过渡。
The non-integrability of quantum systems, often associated with chaotic behavior, is a concept typically applied to cases with a high-dimensional Hilbert space Among different indicators signaling this behavior, the study of the long-time oscillations of the out-of-time-ordered correlator (OTOC) appears as a versatile tool, that can be adapted to the case of systems with a small number of degrees of freedom. Using such an approach, we consider the oscillations observed after the scrambling time in the measurement of OTOCs of local operators for an Ising spin chain on a nuclear magnetic resonance quantum simulator [J. Li,et al, Phys. Rev. X 7, 031011 (2017)]. We show that the systematic of the OTOC oscillations describes qualitatively well, in a chain with only 4 spins, the integrability-to-chaos transition inherited from the infinite chain.
