Chaotic vacuum Rabi oscillations with moving two-level atoms in cavity QED: a new kind of reversible spontaneous emission

I. L. Kirilyuk; Leonid E. Kon'kov; Sergey V. Prants

doi:10.1117/12.340146

25 February 1999 Chaotic vacuum Rabi oscillations with moving two-level atoms in cavity QED: a new kind of reversible spontaneous emission

I. L. Kirilyuk, Leonid E. Kon'kov, Sergey V. Prants

Author Affiliations +

Proceedings Volume 3736, ICONO '98: Quantum Optics, Interference Phenomena in Atomic Systems, and High-Precision Measurements; (1999) https://doi.org/10.1117/12.340146
Event: ICONO '98: Laser Spectroscopy and Optical Diagnostics: Novel Trends and Applications in Laser Chemistry, Biophysics, and Biomedicine, 1998, Moscow, Russian Federation

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.

Citation Download Citation

I. L. Kirilyuk, Leonid E. Kon'kov, and Sergey V. Prants "Chaotic vacuum Rabi oscillations with moving two-level atoms in cavity QED: a new kind of reversible spontaneous emission", Proc. SPIE 3736, ICONO '98: Quantum Optics, Interference Phenomena in Atomic Systems, and High-Precision Measurements, (25 February 1999); https://doi.org/10.1117/12.340146

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KEYWORDS

Chemical species

Chaos

Dynamical systems

Modulation

Microwave radiation

Quantum chaos

Complex systems

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