Dark Modes in Non-Markovian Linear Quantum Systems

TL;DR

This paper investigates dark modes in non-Markovian linear quantum systems, providing a necessary and sufficient condition for their existence and a constructive method for their synthesis through Hamiltonian engineering.

Contribution

It introduces a formal definition of dark modes in non-Markovian quantum systems and offers a constructive approach for their synthesis, advancing understanding of quantum system control.

Findings

Derived a microscopic model for non-Markovian quantum systems

Established a necessary and sufficient condition for dark modes

Provided a constructive method for dark mode synthesis

Abstract

In this note, we are concerned with dark modes in a class of non-Markovian open quantum systems. Based on a microscopic model, a time-convoluted linear quantum stochastic differential equation and an output equation are derived to describe the system dynamics. The definition of dark modes is given building on the input-output structure of the system. Then, we present a necessary and sufficient condition for the existence of dark modes. Also, the problem of dark mode synthesis via Hamiltonian engineering is constructively solved and an example is presented to illustrate our results.