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NATO ASI series. Series B : Physics

A New Quantum Effect in the Dynamics of a Two-Mode Field Coupled to a Two-Level Atom by Two-Photon Processes

Anna Napoli

Published Jan 1, 1997• 0 citations
Publisher
DOI
10.1007/978-1-4615-5835-4_61

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Communications in Theoretical Physics•Jun 1, 1993•2 citations
The dynamics of a degenerate two-mode electromagnetic field coupled to a single two-level atom is investigated both analytically and numerically. New quantum effects are discussed concerning the time dependence of the photon number and of its fluctuations, assuming that at t = 0 one of the modes is coherent and the other is empty. The field dynamics are dominated by oscillatory net exchanges of a large number of photons between the two modes, displaying amplitude decay. Over a longer time scale, revivals and collapses in the field populations take place. The time scales of these phenomena are much larger than those of the atomic Rabi oscillations decay. Moreover, the system attains a highly non-classical regime in which the field intensity in each mode is subjected to strong fluctuations even for a large initial number of photons in the coherent mode. Various correlations between atomic and field dynamics are pointed out, and the physical origin of the new quantum effects is briefly discussed. Finally, using our fully quantized calculations, we comment on the validity of the atomic homodyne detection proposed by Wilkens and Meystre.
We introduce a new solvable effective Hamiltonian model describing a two-level atom coupled to a bimodal degenerate cavity field by two-photon processes. We study the evolution of the system assuming the atom and one mode in their respective ground states and the other mode in an excited Fock state. We find that the dynamics of the system displays nonclassical behaviour exhibiting, in particular, a peculiar sensitivity to the parity of the initial number of photons. We show that this quantum effect may be exploited to generate the amplification of an initially given small difference in the mode populations also enabling the preparation of quantum superpositions of macroscopically distinct field states.