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Acta Optica Sinica

Nonclassical effects of the field in the vacuum-state multi photon Jaynes-Cummings model

Peng Zhou

Published Jan 1, 1992• 0 citations
OpenAlex

Abstract

The nonclassical effects, such as Sub-poisson distribution, squeezing and amplitude-squared squeezing, of the field in the multiphoton Jaynes-Oummings model of an atom initially in the atomic coherent state coupling with the vacuum field are investigated.

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Physical Review A•Nov 1, 1991•12 citations
Some nonclassical features, including photon antibunching, atomic squeezing and quantum collapse-revival phenomenon, were numerically studied in the vacuum field Jaynes–Cummings model (JCM). The influence of the initial atomic coherence on these features was discussed. It is shown that the squeezing can appear only if the atom is initially prepared in the coherent state, and photon antibunching can occur if the atom is initially in the excited state or the coherent one. The effect of the virtual-photon field was studied in JCM without the rotating-wave approximation (RWA). We have shown that even under the condition in which RWA is considered to be valid, there are significant effects on the nonc1assical features due to the interference between the virtual-photon processes and the real-photon processes. Quantum dynamics of JCM without RWA was also studied. We showed that regular dynamical behavior is exhibited in the cases rather close to the integrable limits, and irregular dynamical behavior is presented in the cases far from the integrable limits; in addition, all the nonclassical features disappear in the cases far from the integrable limits.
Evolution of the squeezed state in a multiphoton Jaynes–Cummings model (JCM) when the field is interacting with an atom prepared initially in a coherent superposition of the ground state and the excited state is studied. Long time and short time evolution of field statistics are discussed and compared with the standard JCM. These properties are found to be sensitive to the initial phase of the atom. For a phased atom, squeezing at later times can be larger than the initial squeezing. It is found that two-photon interaction of a suitably prepared phased atom with the initial vacuum state can yield 45% squeezing below the vacuum noise limit. Multiphoton interaction of a phased atom with the initial vacuum state of the field leads periodically to a pure field state that is a coherent superposition of the vacuum state and the n-photon Fock state.
The dynamics of the driven Jaynes-Cummings model where a two-level atom is coupled to a single mode of cavity fields and is driven by an external coherent field is investigated. We find that in this model quantum collapse and revivals of the atomic population inversion and squeezing of the cavity field can be generated from a thermal photon state. We also notice that the squeezing is very sensitive to the mean number of thermal photons initially in the cavity, but the quantum collapse and revivals are not. The influence of the amplitude of the driving field and various detuning parameters on the nonclassical effects is discussed. The result shows that one can use the external field to control nonclassical effects in the Jaynes-Cummings model.
Amplitude-squared squeezing is investigated for the two-photon Jaynes-Cummings model with the field initially in a squeezed vacuum or a more general squeezed state. For small values of the coherence parameter and large values of the squeeze parameter, the amplitude-squared variances show threefold oscillatory behavior on the long time scale. It is found that a ground-state atom (as against an excited one) leads to considerable enhancement of the input amplitude-squared squeezing. The behavior of photon number squared and its relationship to the amplitude-squared squeezing is commented upon.