Topological Dissipative Photonics and Topological Insulator Lasers in Synthetic Time-Frequency Dimensions

TL;DR

This paper explores topological dissipative photonics in synthetic time-frequency dimensions, demonstrating how dissipation engineering can enable robust, laser-like edge states that dominate over bulk modes, with potential applications in topological lasers.

Contribution

It introduces a novel topological dissipative system in synthetic time-frequency space, showing how dissipation can be used to achieve robust, laser-like edge states.

Findings

Edge states can dominate over bulk modes with stable amplification

Dissipative couplings lead to an imaginary bandstructure

Edge states exhibit laser-like behavior resistant to disorder

Abstract

The study of dissipative systems has attracted great attention, as dissipation engineering has become an important candidate towards manipulating light in classical and quantum ways. Here,we investigate the behavior of a topological system with purely dissipative couplings in a synthetic time-frequency space. An imaginary bandstructure is shown, where eigen-modes experience different eigen-dissipation rates during the evolution of the system, resulting in mode competition between edge states and bulk modes. We show that distributions associated with edge states can dominate over bulk modes with stable amplification once the pump and saturation mechanisms are taken into consideration, which therefore points to a laser-like behavior for edge states robust against disorders. This work provides a scheme for manipulating multiple degrees of freedom of light by dissipation engineering, and also proposes a great candidate for topological lasers with dissipative photonics.