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Optical Technique

Photon squeezing effects of q-deformed light field interacting with a cascade three-level atom

Xiaoguang Zhou

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

The nonlinear theory of interaction between q-deformed light field and a cascade three-level atom is established.And the formal solution of Schrdinger equation in the representation is obtained.Then,the influence of q-deformed on photon squeezing effects is studied through numerical calculation.The results show that more q deviates from 1 the stronger the controllability to squeezing effects.It reflects that q-deformed nonlinear action has influence on the quantum coherence and quantum properties.When q→1,the theory reduces to the common linear theory.The analyse with q-deformed even coherent light field reflects that q-deformed odd coherent light field not only don't have squeezing effects,but also weaken it.This conclusion is same with that q-deformed even coherent light field and q-deformed odd coherent light field have different quantum properties.

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The nonlinear theory of interaction between q-deformed light field and a cascade three-level atom is established.And the formal solution of Schrdinger equation in the representation is obtained.Then,the influence of q-deformed on photon squeezing effects is studied through numerical calculation.The results show that more q deviates from 1 the stronger the controllability to squeezing effects.It reflects that q-deformed nonlinear action has influence on the quantum coherence and quantum properties.When q→1,the theory reduces to the common linear theory.The analyse with q-deformed even coherent light field reflects that q-deformed odd coherent light field not only don't have squeezing effects,but also weaken it.This conclusion is same with that q-deformed even coherent light field and q-deformed odd coherent light field have different quantum properties.
The nonlinear theory of interaction between q-deformed odd coherent light field and a cascade three-level atom is established.And the formal solution of Schrdinger equation in the representation and its average number are obtained.Then,the influence of q-deformed on photon antibunching effects is studied through numerical calculation.The results show that the q-deformed has much ability of control to the photon antibunching effects.It reflects that q-deformed nonlinear action has influence on the quantum coherence and quantum properties.When q→1,the theory reduces to the common linear theory.
A nonlinear theoretical model of interaction between q-deformed light field and a cascade three-level atom has been constructed. The formal solution of Schrodinger equation in the interactive representation and the expectation value of the interaction on such a state are obtained. Then, the influence of q deformation on photon antibunching effects is studied by numerical calculation. The results show that the more q deviates from 1, the stronger controllability to antibunching effects the q deformation has. It reflects the effect of the nonlinear behavior of q deformation on quantum coherence and quantum properties. When q→1, the theory reduces to the normal linear theory.
The nonlinear theory of interaction between the q analogue of a single-mode field and a Ξ-type three-level atom has been established. And the formal solution of the Schrödinger equation in the representation and its average number are obtained. Then, the photon squeezing effects are studied through numerical calculation. The results show that the q deformation nonlinear action has a lot of influence on the quantum coherence and quantum properties. When q approaches 1, the theory reduces to the common linear theory.
By means of numerical calculations,squeezing effect of the field in the system of two-mode entangled coherent states interacting with a Λ-type three-level atom is investigated.The influences of the degree of entanglement of two-mode entangled coherent state optics field and mean photon numbers of two-mode optics field on squeezing effect are discussed.The results show that squeezing effect strengthens with increasing of the the degree of entanglement of two-mode entangled coherent state optics field and weakens with increasing of mean photon numbers of two-mode entangled coherent state optics field.