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Optica Publishing Group
  • Quantum Electronics and Laser Science Conference
  • OSA Technical Digest (Optica Publishing Group, 1989),
  • paper FGG4

Quantum treatment of field propagation in an atomic medium

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Abstract

In the rigorous formulation of quantum optics, one often starts with the nonrelativistic minimal interaction Hamiltonian ĤAF for the atoms and field and derives a set of temporal equations of motion for the annihilation operators {n(t)}. In many experiments, however, one needs to describe the spatial propagation of the electromagnetic field. Usually this is done by heuristically replacing the time variable t in {n(t)} by the space variable zlvM. Because of this ad hoc way of obtaining spatial propagation, one cannot quite compare the results of traveling-wave quantum optic experiments with the fundamental quantum electrodynamic theory based on ĤAF.

© 1989 Optical Society of America

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