论文标题
物质的量子复杂性和拓扑阶段
Quantum complexity and topological phases of matter
论文作者
论文摘要
在这项工作中，我们发现量子多体状态的复杂性被定义为在Krylov的基础上，可以用作区分物质拓扑阶段的新探针。我们在一个代表性的示例之一，即su-schrieffer-heeger模型中分析说明了这一点，发现在拓扑阶段，扩散复杂性变得恒定。此外，在同一设置中，我们分析了可溶解的淬灭方案，其中扩散复杂性的演变根据初始状态的拓扑与非血液阶段以及Quench Hamiltonian显示出独特的动力学特征。
In this work, we find that the complexity of quantum many-body states, defined as a spread in the Krylov basis, may serve as a new probe that distinguishes topological phases of matter. We illustrate this analytically in one of the representative examples, the Su-Schrieffer-Heeger model, finding that spread complexity becomes constant in the topological phase. Moreover, in the same setup, we analyze exactly solvable quench protocols where the evolution of the spread complexity shows distinct dynamical features depending on the topological vs non-topological phase of the initial state as well as the quench Hamiltonian.
