Diagrammatic theory of linear and nonlinear optics for composite systems

Graphical representations; Light-matter interactions; Linear optical; Loop diagrams; Nonlinear optical process; Nonlinear process; Second orders; Second-order hyperpolarizabilities; Simple system; Third order; Atomic and Molecular Physics, and Optics

Abstract :

[en] We present a general formalism to model and calculate linear and nonlinear optical processes in composite systems, based on a graphical representation of light-matter interactions by loop diagrams associated with Feynman rules. Through this formalism, we recover the usual second-order response of a simple system by drawing four times fewer loop diagrams than doubled-sided ones. For composite systems, we introduce coupling Hamiltonians between subsystems (for example, a molecule and a substrate), graphically represented by virtual bosons. In this way, we enumerate all the diagrams describing the second-order response of the system and show how to select those relevant for the calculation of the molecular second-order hyperpolarizabilities under the influence of the substrate, including effective second-order contributions from the molecular third-order response. As it applies to all nonlinear processes and an arbitrary number of interacting partners, this representation provides a general frame for the calculation of the nonlinear response of arbitrarily complex systems.

Disciplines :

Physics

Author, co-author :

Noblet, Thomas ; Université de Liège - ULiège > Département de physique > Biophotonique ; Université Paris-Saclay, Cnrs, Institut de Chimie Physique, UMR8000, Orsay, France

Busson, Bertrand ; Université Paris-Saclay, CNRS, Institut de Chimie Physique, UMR8000, Orsay, France

Humbert, Christophe ; Université Paris-Saclay, CNRS, Institut de Chimie Physique, UMR8000, Orsay, France

Language :

English

Title :

Diagrammatic theory of linear and nonlinear optics for composite systems

Publication date :

December 2021

Journal title :

Physical Review. A

ISSN :

2469-9926

eISSN :

2469-9934

Publisher :

American Physical Society

Volume :

104

Issue :

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://link.aps.org/article/10.1103/PhysRevA.104.063504

Funders :

CNRS - Centre National de la Recherche Scientifique
Université Paris-Saclay

Available on ORBi :

since 26 September 2022

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