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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

(p.350) 11 Coherent interaction of light with atoms
Quantum Optics

J. C. Garrison

R. Y. Chiao

Oxford University Press

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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