Jump to ContentJump to Main Navigation
Lectures on LightNonlinear and Quantum Optics using the Density Matrix$
Users without a subscription are not able to see the full content.

Stephen C. Rand

Print publication date: 2016

Print ISBN-13: 9780198757450

Published to Oxford Scholarship Online: August 2016

DOI: 10.1093/acprof:oso/9780198757450.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2018. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a monograph in OSO for personal use (for details see http://www.oxfordscholarship.com/page/privacy-policy).date: 20 July 2018

Quantized Fields and Coherent States

Quantized Fields and Coherent States

Chapter:
(p.168) 6 Quantized Fields and Coherent States
Source:
Lectures on Light
Author(s):

Stephen C. Rand

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198757450.003.0006

Chapter 6 transforms the optical wave into a quantized form. The electric field is pictured as an infinite ladder of discrete states: this structure allows optical interactions to be described photon by photon. The origin of spontaneous emission emerges as a transition process that is stimulated by electric field fluctuations of the vacuum; Weisskopf–Wigner theory explains why it is irreversible. Squeezed states are introduced and qualitatively unique properties are identified. Statistical analysis of light fields serves as a basis for more quantitative comparisons of fields and their noise properties. Methods of calculating the first and second degrees of coherence are presented. The ranges of values corresponding to “classical” versus “quantum” light sources are discussed. The reduced density matrix is developed to justify analysis that focuses on a subset of the components or dynamics of a complex system, ignoring aspects that are not of primary interest. The problem of calculating the fluorescence spectrum of resonantly excited two-level atoms is considered using both a method of moments and dressed atom theory.

Keywords:   quantized fields, photon, spontaneous emission, coherent states, statistical analysis, reduced density matrix, resonance fluorescence, dressed atom theory, optical dynamics

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .