论文标题
动态响应函数和时间翻译对称性破坏的严格界限
Rigorous bounds on dynamical response functions and time-translation symmetry breaking
论文作者
论文摘要
动态响应功能是用于探测平衡附近局部物理的标准工具。它们提供有关平衡状态后弱扰动后放松特性的信息。在本文中，我们专注于通过表现出持续的时间振荡来破坏热化假设的系统。我们以广泛或局部动力对称性（即具有定期时间依赖性的广泛或本地运算符）来对动态响应函数的傅立叶组成部分进行严格的界限。此外，我们讨论了空间不均匀的动力对称性的影响。在相互作用的Floquet系统的示例中，明确实现了边界，特别是在Heisenberg XXZ模型的可集成Trotterization中。
Dynamical response functions are standard tools for probing local physics near the equilibrium. They provide information about relaxation properties after the equilibrium state is weakly perturbed. In this paper we focus on systems which break the assumption of thermalization by exhibiting persistent temporal oscillations. We provide rigorous bounds on the Fourier components of dynamical response functions in terms of extensive or local dynamical symmetries, i.e. extensive or local operators with periodic time dependence. Additionally, we discuss the effects of spatially inhomogeneous dynamical symmetries. The bounds are explicitly implemented on the example of an interacting Floquet system, specifically in the integrable Trotterization of the Heisenberg XXZ model.
