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Analytic quantum-trajectory results for a fluorescent atom in a lossless cavity

T C Burt and J Gea-Banacloche

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We use a quantum-trajectory based method (a generalization of earlier work by Mollow) to derive results for the population inversion and atomic dipole of a single atom interacting with a cavity field which is allowed to decay via fluorescence to outside modes. We assume strong coupling to the cavity field (small fluorescence rate), and that the cavity field is initially prepared in a `quasiclassical' state, such as a coherent state with a large (>10) number of photons. We show how a quasiclassical, or `branching' approximation can be introduced under these conditions which simplifies considerably the formal solutions obtained by the quantum-trajectory method and allows one to calculate easily the effect of spontaneous emission on the Jaynes - Cummings revivals and the state preparation effect. Our analytical approximations are compared to the numerical integration of the master equation, with generally good agreement.


PACS

42.50.Ct Quantum description of interaction of light and matter; related experiments

42.50.Md Optical transient phenomena: quantum beats, photon echo, free-induction decay, dephasings and revivals, optical nutation, and self-induced transparency

32.80.Xx Level crossing and optical pumping

03.65.Ca Formalism

32.50.+d Fluorescence, phosphorescence (including quenching)

42.50.Dv Quantum state engineering and measurements

Subjects

Atomic and molecular physics

Optics, quantum optics and lasers

Quantum information and quantum mechanics

Dates

Issue 1 (February 1996)



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