论文标题
降低密度矩阵的复杂性：混乱的新诊断
Complexity from the Reduced Density Matrix: a new Diagnostic for Chaos
论文作者
论文摘要
我们研究电路复杂性以表征多粒子量子系统中的混乱。在此过程中，我们大步使用复杂性来分析开放量子系统。我们通过探索不同类型的量子电路提出了一种基于降低的密度矩阵，从复杂性中提出了一种新的量子混乱诊断。通过在两个耦合谐波振荡器的玩具模型上进行的明确计算，其中一个或两个振荡器被反转，我们证明了复杂性的演变是混乱的可能诊断。
We investigate circuit complexity to characterize chaos in multiparticle quantum systems. In the process, we take a stride to analyze open quantum systems by using complexity. We propose a new diagnostic of quantum chaos from complexity based on the reduced density matrix by exploring different types of quantum circuits. Through explicit calculations on a toy model of two coupled harmonic oscillators, where one or both of the oscillators are inverted, we demonstrate that the evolution of complexity is a possible diagnostic of chaos.
