Nonlinear optical analogies in quantum electrodynamics

Abstract

Some of the basic notions of nonlinear optics are summarized and then applied to the case of the Dirac vacuum, as described by the Heisenberg-Euler effective one-loop Lagrangian. The theoretical and experimental basis for the appearance of nonlinear optical phenomena, such as the Kerr effect, Cotton-Mouton effect, and four-wave mixing are discussed. Further effects due to more exotic assumptions on the structure of spacetime, such as gravitational curvature and the topology of the Casimir vacuum are also presented.

24 pages, contributed chapter to book on nonlinear electrodynamics edited by CBPF (Rio)

References in corpus (8)

• Precision Measurement of the Casimir Force from 0.1 to 0.9 microns
• Using high-power lasers for detection of elastic photon-photon scattering
• Search for Stimulated Photon-Photon Scattering in Vacuum
• An Analytic Form for the Effective Lagrangian of QED and its Application to Pair Production and Photon Splitting
• Analysis of four-wave mixing of high-power lasers for the detection of elastic photon-photon scattering
• Four-wave interaction in gas and vacuum. Definition of a third order nonlinear effective susceptibility in vacuum
• A possibility to measure elastic photon--photon scattering in vacuum
• Detection of elastic photon-photon scattering through four-wave coupling

Cited by in corpus (8)

• Extended phase space thermodynamics and P-V criticality of black holes with nonlinear source
• Charge rotating black string in gravitating nonlinear electromagnetic fields
• Asymptotically charged BTZ Black Holes in Gravity's Rainbow
• Thermodynamic instability of topological black holes with nonlinear source
• Three dimensional nonlinear magnetic AdS solutions through topological defects
• Thermodynamic description and quasinormal modes of adS black holes in Born-Infeld massive gravity with a non-abelian hair
• Wormhole solutions in the presence of nonlinear Maxwell field
• Optical black holes and solitons