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Quantum Optics$
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John Garrison and Raymond Chiao

Print publication date: 2008

Print ISBN-13: 9780198508861

Published to Oxford Scholarship Online: September 2008

DOI: 10.1093/acprof:oso/9780198508861.001.0001

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Coherent interaction of light with atoms

Coherent interaction of light with atoms

Chapter:
(p.350) 11 Coherent interaction of light with atoms
Source:
Quantum Optics
Author(s):

J. C. Garrison

R. Y. Chiao

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198508861.003.0012

The perturbation expansion (Chapter 4) fails if the incident field — assumed to be resonant with an atomic transition — has a coherence time that is long compared to the spontaneous emission time. The dominance of resonance effects is used to replace the perturbation expansion by the resonant-wave approximation, which approximately describes the joint evolution of the field-atom system for long times. This approach is employed to describe quantum propagation of spontaneously emitted photons. When combined with the Markov approximation, it yields the Weisskopf-Wigner model for single-photon emission and two-photon cascade emission. The chapter ends with a discussion of the semi-classical limit, Rabi oscillations, the Bloch equation, and adiabatic elimination.

Keywords:   coherence time, resonant-wave approximation, Markov approximation, Weisskopf-Wigner model, two-photon cascade, Rabi oscillation, Bloch equation

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