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Acta Physica Sinica

TWO-MODE SU(1,1) SCHR?DINGER CAT STATES AND ATOMIC COHERENT POPULATION TRAPPING IN A CASCADE THREE-LEVEL SYSTEM

H. Li, Li G

Published Jan 1, 2000• 0 citations
OpenAlex

Abstract

We have studied atomic coherent population trapping in a cascade three|level atom interacting with a two|mode quantized field mediated by two|photon processes. The states of the field trapping the atom are obtained, which are two|mode %SU(%1,1) Schrdinger cat states, and the nonclassical properties of these states are discussed.

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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.
The generation and evolution of entanglement and squeezing for the two-mode fields are discussed in a cascade three-level atomic system. Two photons of a strong external pump field induce atomic coherence between the top and bottom levels. The dynamics of this system in the presence of cavity losses is studied. It is shown that entanglement and squeezing between the two modes increase initially, then decrease and eventually disappear. The periods of them are extended with the increasing of the pump field intensity. The effects of the cavity losses on squeezing and entanglement are also discussed.