Bloch theorem dictated wave chaos in microcavity crystals

TL;DR

This paper extends wave chaos theory to microcavity crystal lattices, revealing how intrinsic cavity-momentum coupling influences light dynamics, phase space reconfiguration, and localization phenomena in periodic systems.

Contribution

It introduces the concept of cavity-momentum locking in lattice systems, a novel mechanism that alters wave chaos behavior and enables new control over microcavity light dynamics.

Findings

Cavity-momentum locking replaces boundary deformation in wave chaos.

Phase space reconfiguration induces dynamical localization transition.

Maximal momentum coupling occurs at the Brillouin zone boundary.

Abstract

Universality class of wave chaos emerges in many areas of science, such as molecular dynamics, optics, and network theory. In this work, we generalize the wave chaos theory to cavity lattice systems by discovering the intrinsic coupling of the crystal momentum to the internal cavity dynamics. The cavity-momentum locking substitutes the role of the deformed boundary shape in the ordinary single microcavity problem, providing a new platform for the in situ study of microcavity light dynamics. The transmutation of wave chaos in periodic lattices leads to a phase space reconfiguration that induces a dynamical localization transition. The degenerate scar-mode spinors hybridize and non-trivially localize around regular islands in phase space. In addition, we find that the momentum coupling becomes maximal at the Brillouin zone boundary, so the intercavity chaotic modes coupling and wave confinement are significantly altered. Our work pioneers the study of intertwining wave chaos in periodic systems and provide useful applications in light dynamics control.