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Proceedings Paper

Chaotic vacuum Rabi oscillations with moving two-level atoms in cavity QED: a new kind of reversible spontaneous emission
Author(s): I. L. Kirilyuk; Leonid E. Kon'kov; Sergey V. Prants
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Paper Abstract

We study nonlinear dynamics in the fundamental cavity QED system, consisting of a point-like collection of two-level atoms moving through a single-mode cavity, with a spatially inhomogenous field. In the semiclassical, strong-coupling and rotating-wave approximations, the model is shown to be integrable with atoms moving at exact resonance through a cavity with an arbitrary spatial profile of the mode along the propagation axis. The general exact semiclassical solution is derived in an explicit form, in terms of Jacobian elliptic functions. Numerical simulation confirms that perturbations, which are produced by a modulation of the coupling between moving atoms and a cavity mode, provide, our of resonance, a mechanism responsible for Hamiltonian chaos. Taking into account the interatomic quantum correlations, we go beyond the semiclassical model and derive a dynamical system, which is able to describe vacuum Rabi oscillation with moving atoms. At resonance, this system is again shown to be integrable with a general semiquantum solution found. Out of resonance, it can demonstrate chaotic vacuum Rabi oscillations, which may be considered as a new kind of reversible spontaneous emission.

Paper Details

Date Published: 25 February 1999
PDF: 8 pages
Proc. SPIE 3736, ICONO '98: Quantum Optics, Interference Phenomena in Atomic Systems, and High-Precision Measurements, (25 February 1999); doi: 10.1117/12.340146
Show Author Affiliations
I. L. Kirilyuk, Pacific Oceanological Institute (Russia)
Leonid E. Kon'kov, Pacific Oceanological Institute (Russia)
Sergey V. Prants, Pacific Oceanological Institute (Russia)


Published in SPIE Proceedings Vol. 3736:
ICONO '98: Quantum Optics, Interference Phenomena in Atomic Systems, and High-Precision Measurements
Anatoli V. Andreev; Sergei N. Bagayev; Anatoliy S. Chirkin; Vladimir I. Denisov, Editor(s)

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