Selection rules of linear and nonlinear polarization-selective absorption in optically dressed matter

TL;DR

This paper investigates how dynamical symmetries in laser-dressed matter influence polarization-dependent absorption, providing comprehensive selection rules for both linear and nonlinear regimes using Floquet group theory, with potential applications in polarization-tunable optical filters.

Contribution

It introduces a systematic framework for determining polarization selection rules in Floquet matter, including nonlinear orders, using Floquet group theory in synthetic dimensions.

Findings

Presented comprehensive tables of polarization selection rules for Floquet dark states and bands.

Revealed that different nonlinear orders follow distinct polarization selection rules.

Demonstrated potential for polarization-tunable optical filtering based on these rules.

Abstract

Dynamical symmetries of laser-dressed matter determine selection rules that determine its absorption spectrum. We explore selection rules for polarization-sensitive absorption in Floquet matter, using Floquet group theory in synthetic dimensions. We present comprehensive tables of selection rules that polarization-structured light impose on Floquet dark states and Floquet dark bands. Notably, our tables encompass nonlinear absorption, to all nonlinear orders, revealing that different nonlinear orders follow distinct polarization selection rules, potentially leading to polarization-tunable optical filters.