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ACTA PHOTONICA SINICA

Quantum Properties of the Binomial Field Interacting with a Cascade Threelevel Atom Beyond the Rotating Wave Approximation

丛红璐 Cong Honglu, 唐多昌 TANG Duochang, 刘雪华 LIU Xue-hua, 成爽 CHENG Shuang, 任学藻 REN Xue-zao

Published Jan 1, 2012• 0 citations

Abstract

The squeezing effect and atomic population of the binomial field interacting with a cascade three level atom are calculated accurately without rotating-wave approximation(without RWA) by using the complete quantum theory.The influences of the binomial state field parameter η on the field squeezing effect and the maximum photon number M of the binomial state field on the atomic population are considered.The results obtained from using the numerical method show that with increase of the binomial state field parameter η,the duration of the squeezing effect increases at first and then decreases.The little indentation oscillation appears in the evolution curves of the field squeezing effect,which is caused by virtual photon without RWA.The period of the revival-collapse increases with the increase of the maximum photon number M,and the atomic population can not collapse completely in the collapse regime,but displays little indentation oscillation.In addition the influence of the without-RWA terms on the quantum properties of the system are discussed.

DOI: 10.3788/gzxb20124109.1098

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The squeezing effect and atomic population of the binomial field interacting with a cascade three level atom are calculated accurately without rotating-wave approximation(without RWA) by using the complete quantum theory.The influences of the binomial state field parameter η on the field squeezing effect and the maximum photon number M of the binomial state field on the atomic population are considered.The results obtained from using the numerical method show that with increase of the binomial state field parameter η,the duration of the squeezing effect increases at first and then decreases.The little indentation oscillation appears in the evolution curves of the field squeezing effect,which is caused by virtual photon without RWA.The period of the revival-collapse increases with the increase of the maximum photon number M,and the atomic population can not collapse completely in the collapse regime,but displays little indentation oscillation.In addition the influence of the without-RWA terms on the quantum properties of the system are discussed.

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In this paper, the quantum entanglement between a single mode binomial field and a cascade three-level atom is calculated mechanically without the rotating wave approximation. The numerical results indicate that the quantum entanglement at the first few periods is reduced notably due to the fact that the atom is initially in the superposition state. With increasing field parameter , the period of the entanglement evolution becomes obvious and the quantum decoherence phenomenon emerges in a short time.

Entropy squeezing effect of the binomial state field interacting with a cascade three-level at- om are studied by using quantum entropy theory effect and calculation method,and the influences of initial field parameters on the entropy squeezing effect of the field are discussed.The results are that, firstly,when the field is initially in a coherent state,entropy squeezing effect can be exhibited in a short time;secondly,when the initial field is in a middle state between the coherent state and number state,the depth and sustained time of the field's squeezing effect increase;finally,when the initial field transmit to a lock state,the field's squeezing effect weakens and disappears in the end.The re- sults show that binomial state field displays obviously entropy squeezing effect when it interacts with a cascade three-level atom.

The dynamics of a cascade three-level atom interacting with the single mode coherent state under the Counter-Rotating-Wave approximation (C-RWA) is investigated.The properties of the mean-photon number (N(t)) and the degree of second-order coherence (g2(t)) are analyzed in this model.The little indentation which represents the quantum noise of the system appears in the evolution curves of the mean-photon number and the degree of second-order coherence under the C-RWA.The quantum noise which is caused by the virtual photon field gradually becomes weak when ω increases.The quantum noise increases when increases.The anti-bunching effect of the system under the C-RWA is stronger than the one under the RWA.Besides,the relation of N(t) and g2(t) with the atom-field coupling constant λ is revealed in our results.