Open Systems Dynamics for Propagating Quantum Fields

TL;DR

This dissertation develops a master equation framework for quantum systems interacting with propagating photon states, including N-photon states with entanglement, and models a 3D light-matter interface for atomic ensembles to generate spin squeezing.

Contribution

It introduces a novel master equation approach for N-photon states with temporal entanglement and models a 3D light-matter interface for spin squeezing in atomic ensembles.

Findings

Master equation for N-photon states with temporal entanglement

Model of 3D light-matter interface for atomic spin squeezing

Measurement of scattered light can generate and decohere spin states

Abstract

In this dissertation, I explore interactions between matter and propagating light. The electromagnetic field is modeled as a reservoir of quantum harmonic oscillators successively streaming past a quantum system. Each weak and fleeting interaction entangles the light and the system, and the light continues its course. Within the framework of open quantum systems, the light is eventually traced out, leaving the reduced quantum state of the system as the primary mathematical subject. Two major results are presented. The first is a master equation approach for a quantum system interacting with a traveling wave packet prepared with a definite number of photons. In contrast to quasi-classical states, such as coherent or thermal fields, these N-photon states possess temporal mode entanglement, and local interactions in time have nonlocal consequences. The second is a model for a three-dimensional light-matter interface for an atomic ensemble interacting with a paraxial laser beam and its application to the generation of QND spin squeezing. Both coherent and incoherent dynamics due to spatially inhomogeneous atom-light coupling across the ensemble are accounted for. Measurement of paraxially scattered light can generate squeezing of an atomic spin wave, while diffusely scattered photons lead to spatially local decoherence.