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Communications in Theoretical Physics

Coherent Population Trapping in a Λ-Configuration Photoionization System in the Presence of an Autoionizing State

Gao‐xiang Li, PENG JIN-SHENG, Peng Zhou

Published Dec 15, 1997• 0 citations
Publisher

Abstract

We investigate the atomic coherent population trapping in the system of two-mode quantized field interacting with a Λ-configuration atom with two lower bound states, one autoionizing state and a flat atomic continuum. The states of the field which traps the atom in its two lower bound states are given and the influence of the field induced continuum structure is examined.

DOI
10.1088/0253-6102/28/4/401

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We investigate the atomic coherent population trapping in the system of two-mode quantized field interacting with a Λ-configuration atom with two lower bound states, one autoionizing state and a flat atomic continuum. The states of the field which traps the atom in its two lower bound states are given and the influence of the field induced continuum structure is examined.
We have studied the atomic coherent population trapping in the system of a two-mode quantized field interacting with a Λ-configuration multilevel atom with one lower discrete state and two sets of quasicontinuum states, or a set of quasicontinuum states and a set of true continuum states. The influence of the atom's initial preparation and the properties of the atomic upper levels on whether or not atomic coherent population trapping occurs, and the states of the field which trap the atom are analyzed.
Coherent population trapping (CPT) in a three-level system in the Λ configuration interacting with two quantized fields is studied. It is shown that, in addition to the known trapping states of the field involving ordinary coherent states of each mode, SU(2) coherent states associated with the Schwinger realization are also field states that give rise to CPT for this system. In addition it is pointed out that superpositions of such states, and statistical mixtures of them, for different total photon numbers also give rise to CPT. The stability of the CPT states against decay of the cavity field modes is examined. CPT is preserved if the modes decay at the same rate. A possible method for generating statistical mixtures of the SU(2) coherent states is described.
By means of adiabatically eliminating the upper level or levels of a \ensuremath{\Lambda}-configuration atom coupling to a two-mode quantized field, we have studied the influences of ac Stark shifts on the atomic coherent population trapping in two important atom-field coupling systems via nondegenerate Raman two-photon processes. The states of the field that trap the atom in its two nondegenerate lower levels are obtained, and the important roles of ac Stark shifts and properties of the atomic upper level or levels in the states of the trapping field in two Raman-coupling systems are also analyzed.
We have investigated the atomic coherent population trapping in a multilevel laser-induced continuum structure system including cascade two-photon processes, in which two sets of quasicontinua of excited levels to be modeled as the Bixon-Jortner quasicontinuum are laser-embedded into a previously structureless atomic continuum. The condition leading to the atomic coherent population trapping and the coherent population trapping state are given explicitly. And the effects of the Fano factors, the laser intensities and the detunings on the amount of population trapped in the atomic bound states and the populations distributed in the two sets of quasicontinua are also examined.