Coherent states of the Laguerre-Gauss modes

TL;DR

This paper introduces a method to study quantum multiparticle systems by mapping their excitation modes to Laguerre-Gauss modes, enabling new insights into their dynamics through coherent states.

Contribution

It presents a novel approach to analyze quantum photonic systems by constructing coherent states linked to Laguerre-Gauss modes, facilitating exploration of their fundamental properties.

Findings

Established a direct link between excitation number dynamics and Laguerre-Gauss mode evolution

Highlighted the photon transverse spatial degree of freedom as a versatile platform

Proposed a new framework for testing quantum multiparticle system fundamentals

Abstract

Large quantum photonic systems hold promise for surpassing classical computational limits, yet their state preparation remains a challenge. We propose an alternative approach to study multiparticle dynamics by mapping the excitation mode of these systems to physical properties of the Laguerre-Gauss modes. We construct coherent states establishing a direct link between excitation number dynamics and the evolution of the Laguerre-Gauss mode. This highlights the photon transverse spatial degree of freedom as a versatile platform for testing fundamental aspects of quantum multiparticle systems.