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Physical Review A

Dynamics of anM-level atom interacting with cavity fields. II. Properties of photon statistics

Fuli Li, Xiao-shen Li, D. L. Lin, Thomas F. George

Published Nov 1, 1989• 13 citations
Publisher

Abstract

For a system of an M-level atom interacting with cavity fields, the statistical properties of the field are investigated numerically. The variation of photon antibunching and probability distribution with the atomic level number and initial field intensity is discussed for both resonance and off-resonance cases.
DOI
10.1103/physreva.40.5129

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The quantum statistical properties of two field modes are studied for a three-level atom with multiphoton transition interacting with two cavity fields. By numerical calculations it is shown that, in the continual absorbing and emitting photons of the interacting system a "photon submergence," the bunching and antibunching effects of two modes, exists. In addition, the impact of the atom's one transition photon numbers and the initial mean photon number of two modes on these effects are discussed in detail.
A quantum-mechanical theory is developed to treat the interaction of a multilevel atom with cavity fields of arbitrary detunings. The Hilbert space spanned by the energy eigenvectors is divided into subspaces specified by eigenvalues of the total excitation number, which is a constant of motion. Since the total Hamiltonian does not connect states in different subspaces, it can be diagonalized in each subspace independently. The time evolutions of the level occupation probabilities and the mean photon number are investigated numerically, and their variations with the atomic level number and the initial photon number are discussed. Their relation with the field squeezing is also discussed.
Quantum statistic properties of a two-mode field initially in a coherent state resonantly interacting with a three-level V-type atom are investigated by means of the quantum theory and numerical calculations.The dependence of the sub-Poisson statistics,the coherent properties of two-mode cavity field,photon bunching and anti-bunching,and the violations of Cauchy-Schwarz inequality on the average photon number of the cavity mode,the coupling constant and the interaction time is discussed in three cases:(1) no state-selective measurement on the atom;(2) direct state-selective measurement on the atom;(3) state-selective measurement on the atom after the application of a classical field.The results indicate,when the state-selective measurement is performed on the atom,the sub-Poisson statistic properties is distinctly enhanced,the anti-correlative degree between two-mode is distinctly deadened,and the Cauchy-Schwarz inequality is always violated;the mode a anti-bunching exhibits when the state-selective measurement is performed on the atom and the average photon number difference of the two cavity modes is large.