Particle emission from open-quantum systems

TL;DR

This paper explores the theoretical connections between various quantum physics frameworks to understand particle emission from low-dimensional driven quantum systems, with applications to solid-state photon sources and inclusion of dissipation effects.

Contribution

It introduces a formalism that integrates dissipation into temporal-mode quantum optics and links multiple theoretical approaches for analyzing particle emission in quantum systems.

Findings

Unified framework connecting quantum optics, scattering matrices, and quantum stochastic calculus.

Method to incorporate dissipation into temporal-mode quantum optics.

Application to single-photon sources with dephasing.

Abstract

In this work, we discuss connections between different theoretical physics communities and their works, all related to systems that act as sources of particles such as photons, phonons, or electrons. Our interest is to understand how a low-dimensional quantum system driven by coherent fields, e.g. a two-level system, Jaynes-Cummings system, or photon pair source driven by a laser pulse, emits photons into a waveguide. Of particular relevance to solid-state sources is that we provide a way to include dissipation into the formalism for temporal-mode quantum optics. We will discuss the connections between temporal-mode quantum optics, scattering matrices, quantum stochastic calculus, continuous matrix product states and operators, and very traditional quantum optical concepts such as the Mandel photon counting formula and the Lindblad form of the quantum-optical master equation. We close with an example of how our formalism relates to single-photon sources with dephasing.