Rotating Spacetime Modulation: Topological Phases and Spacetime Haldane Model

Abstract

Topological photonics has recently emerged as a very general framework for the design of unidirectional edge waveguides immune to back-scattering and deformations, as well as other platforms that feature extreme nonreciprocal wave phenomena. While the topological classification of time invariant crystals has been widely discussed in the literature, the study of spacetime crystals formed by time-variant materials remains largely unexplored. Here, we extend the methods of topological band theory to photonic crystals formed by inclusions that are subject to a spacetime rotating-wave modulation that imitates a physical rotating motion. By resorting to an approximate nonhomogeneous effective description of the electromagnetic response of the inclusions, it is shown that they possess a bianisotropic response that breaks the time-reversal symmetry and may give rise to non-trivial topologies. In particular, we propose an implementation of the Haldane model in a spacetime modulated photonic crystal.

29 pages, 6 figures

References in corpus (8)

• Topological Photonics
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Analogs of quantum Hall effect edge states in photonic crystals
• Photonics of Time-Varying Media
• PTD Symmetry Protected Scattering Anomaly in Optics
• Topological theory of non-Hermitian photonic systems
• Nonreciprocal and non-Hermitian material response inspired by semiconductor transistors
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Cited by in corpus (4)

• Photonic time crystals: Theory and applications
• Plasmon Fizeau drag in 3D Dirac and Weyl semimetals
• Stable-to-unstable transition in quantum friction
• Spatiotemporal cascading of dielectric waveguides