1. Diagrammatic theory of linear and nonlinear optics for composite systems
- Author
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Bertrand Busson, Christophe HUMBERT, Thomas Noblet, Institut de Chimie Physique (ICP), Institut de Chimie du CNRS (INC)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Group for Research and Applications in Statistical Physics (GRASP), Université de Liège, CNRS – Univ Paris-Sud, Centre National de la Recherche Scientifique (CNRS), and Institut de Chimie du CNRS (INC)
- Subjects
[PHYS]Physics [physics] ,[PHYS.PHYS.PHYS-OPTICS]Physics [physics]/Physics [physics]/Optics [physics.optics] ,[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] ,02 engineering and technology ,021001 nanoscience & nanotechnology ,01 natural sciences ,[CHIM.THEO]Chemical Sciences/Theoretical and/or physical chemistry ,[PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph] ,0103 physical sciences ,[PHYS.COND.CM-MS]Physics [physics]/Condensed Matter [cond-mat]/Materials Science [cond-mat.mtrl-sci] ,[PHYS.PHYS.PHYS-CHEM-PH]Physics [physics]/Physics [physics]/Chemical Physics [physics.chem-ph] ,[PHYS.COND]Physics [physics]/Condensed Matter [cond-mat] ,010306 general physics ,0210 nano-technology ,ComputingMilieux_MISCELLANEOUS - Abstract
International audience; 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 Feynmanrules. Through this formalism, we recover the usual second-order response of a simple system by drawing fourtimes fewer loop diagrams than doubled-sided ones. For composite systems, we introduce coupling Hamiltoniansbetween subsystems (for example, a molecule and a substrate), graphically represented by virtual bosons. In thisway, we enumerate all the diagrams describing the second-order response of the system and show how to selectthose relevant for the calculation of the molecular second-order hyperpolarizabilities under the influence of thesubstrate, including effective second-order contributions from the molecular third-order response. As it appliesto all nonlinear processes and an arbitrary number of interacting partners, this representation provides a generalframe for the calculation of the nonlinear response of arbitrarily complex systems.
- Published
- 2021
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