Dark Modes of Quantum Linear Systems

TL;DR

This paper introduces a direct method to characterize and construct dark modes in quantum linear systems, enabling the separation of dark and bright modes and applying the theory to optomechanical systems.

Contribution

It presents a novel approach for identifying and engineering dark modes in quantum systems, including a decomposition technique and synthesis methods.

Findings

Developed a direct characterization method for dark modes.

Constructed a transformation to separate dark and bright modes.

Applied the theory to an optomechanical dark mode.

Abstract

In this paper, we develop a direct method for the characterization of dark modes. The results can be used to construct a transformation that separates dark and bright modes, through the decomposition of system dynamics. We also study a synthesis problem by engineering the system-environment coupling and Hamiltonian engineering. We apply the theory to investigate an optomechanical dark mode.