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Chinese Physics C

Antibunching Properties of q-Deformed Coherent Light Field Interacting with a Cascade Three-Level Atom

Hui Zhang

Published Jan 1, 2007• 1 citation
OpenAlex

Abstract

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.

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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 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.
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 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.
The antibunching effect for the eigenstates of the q deformed annihilation operator a k q(k ≥3) is investigated. Using the numerical method, we have studied the influences of the q parameter deformation on the effect in the case of k =3. The results show that the eigenstates of a k q exhibit antibunching effect when x=|z| 2, i.e. the intensity of the oscillator in q deformed coherent state, is in values of certain intervals, and the effect is evidently influenced by the values of parameter q . When the intensity of the q deformed light field is changed stronger gradually, the fluctuation of the photon number in the light field is changed between the classical (or quantum) and the quantum (or classical) properties alternatively.
Antibunching effect and squeezing property of the binomial state field interact- ing with a cascade three-level atom are studied by using quantum theory and calculation method,and the influences of initial field parameters on the quantum properties of the field are discussed.The results are that,firstly,when the field is initially in a coherent state,its antibunching effect can be displayed discontinuously and 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 field shows antibunching effect continuously and the deep degree and sustained time of its squeezing effect increase;Finally,while when the initial field transmits to a fock state,the field reveals continuously antibunching effect but its squeezing effect weak- ens to disappear.Our results show that binomial state field displays remarkable no-classical properties when it interacts with a cascade three-level atom.