论文标题
实际空间电路复杂性作为相图的探测
Real space circuit complexity as a probe of phase diagrams
论文作者
论文摘要
电路复杂性已被用作研究凝结物质系统中各种特性的工具,尤其是探测相图的一种方法。但是,与基于纠缠的措施相比,缺乏复杂性。我们表明,当施加惩罚因素来惩罚非本地性时,它将成为相图的强大探测,能够探测更微妙的特征。我们通过得出具有横向场XY链中复杂性的分析解决方案来做到这一点。
Circuit complexity has been used as a tool to study various properties in condensed matter systems, in particular as a way to probe the phase diagram. However, compared with measures based on entanglement, complexity has been found lacking. We show that when imposing penalty factors punishing non-locality, it becomes a much stronger probe of the phase diagram, able to probe more subtle features. We do this by deriving analytical solutions for the complexity in the XY chain with transverse field.