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Canadian Journal of Physics

Single-mode and two-mode squeezing in the three-level atom

A.M. Abdel-Hafez

Published May 1, 1992• 0 citations
Publisher

Abstract

We investigate the phenomena of single-mode and two-mode squeezing for a three-level atom and two modes. The field modes are initially taken in coherent states. The effects of detuning on these phenomena are studied for one-photon and two-photon interactions. The relation between the collapse and revival phenomena and single-mode and two-mode squeezing is shown. It is found that the two-mode squeezing is much more effective than the single-mode squeezing for the one-photon interaction. While for the two-photon interaction the reverse is true.

DOI
10.1139/p92-063

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We investigate the phenomena of single-mode and two-mode squeezing for a three-level atom and two modes. The field modes are initially taken in coherent states. The effects of detuning on these phenomena are studied for one-photon and two-photon interactions. The relation between the collapse and revival phenomena and single-mode and two-mode squeezing is shown. It is found that the two-mode squeezing is much more effective than the single-mode squeezing for the one-photon interaction. While for the two-photon interaction the reverse is true.
The atomic system on which we focus is a single four-level atom interacting with two-mode cavity fields. We obtain the wavefunction when the atom is initially in an excited state. The result presented in this context is employed to discuss the collapses–revivals phenomenon, the photon statistics and frequency sum squeezing phenomenon. The influence of the detuning on these phenomena are investigated for two four-level atomic systems. We found that the presence of the detuning leads to an increase of the collapse time while the amount of squeezing decreases. Also, the photon statistics is affected by the existence of the detuning parameters where the anti-bunching effect appears.
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A model is presented to investigate the problem of interaction between an N-level atom and N-1 modes of the field. The model includes detuning. Constants of motion are obtained. The evolution operator is calculated, and the probability distribution function for the photon numbers is computed for different initial atomic states. The characteristic functions are computed. Different statistical quantities concerning the photons or the atomic system are given. The case of a three-level atom and two modes is considered for its different configurations. The phenomenon of collapses and revivals is discussed for squeezed light, and the effect of squeezing is shown in this phenomenon.
The atomic dipole squeezing effects in the system of a two-mode entangled states interacting with a Σ-type three-level atom were studied.We analyzed the effects of the degree of entanglement of the two-mode entangled coherent states,the ground state probability amplitude of atomic initial state,the detuning,and the mean photon numbers on the atomic dipole squeezing effects.The results indicate that the influence of the(degree) of entanglement of the two-mode entangled coherent states on the atomic dipole squeezing effects isn't noticeable.While the atomic initial state is in the ground state or excited state,the atomic dipole squeezing effects can not occur.While the probability of atomic initial state in ground state is equal to that in the excited state,the atomic dipole squeezing reaches its maximum.The enhancing of the detuning results in the increase of the frequency of atomic dipole squeezing.When the mean photon number of mode 1 remains unchanged and the mean photon number of mode 2 increases,the depth of atomic dipole squeezing decreases and the(frequency) of atomic dipole squeezing doesn't change.