具有手性对称性的非线性动力学中的拓扑边界模式
Topological Boundary Modes in Nonlinear Dynamics with Chiral Symmetry
AI总结：
本文将粒子空穴和手性对称性扩展至非线性简正模式不具U(1)规范对称性的非线性动力学系统，揭示了手性对称性对Berry相位的量子化与拓扑相分类作用，并发现了受拓扑保护的静态边界模式。
摘要：
粒子空穴对称性和手性对称性在物理学的多个领域中起着关键作用，但在非线性简正模式不呈现U(1)规范对称性的非线性相互作用系统中，它们仍未被研究。在本工作中，我们在此类系统中建立了粒子空穴对称性和手性对称性。手性对称性确保了非线性简正模式Berry相位的量子化，并对非线性动力学的拓扑相进行了分类。我们展示了手性对称非线性系统中受拓扑保护的静态边界模式。我们的理论框架将粒子空穴和手性对称性扩展至非线性动力学，其非线性模式不一定具有U(1)规范对称性。
英文摘要：
Particle-hole symmetry and chiral symmetry play a pivotal role in multiple areas of physics, yet they remain unstudied in systems with nonlinear interactions whose nonlinear normal modes do not exhibit $\textbf{U}(1)$-gauge symmetry. In this work, we establish particle-hole symmetry and chiral symmetry in such systems. Chiral symmetry ensures the quantization of the Berry phase of nonlinear normal modes and categorizes the topological phases of nonlinear dynamics. We show topologically protected static boundary modes in chiral-symmetric nonlinear systems. Our theoretical framework extends particle-hole and chiral symmetries to nonlinear dynamics, whose nonlinear modes do not necessarily yield $\textbf{U}(1)$-gauge symmetry.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
