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ACTA PHOTONICA SINICA

Quantum Properties of the Binomial State Field Interacting With a V Type Three-level Atom Without Rotating Wave Approximation

Wang Xu

Published Jan 1, 2011• 0 citations
OpenAlex

Abstract

By the method of coherent-state orthogonalization expansion,the energy spectrum of the V type three-level atom was calculated exactly in the non-rotating wave approximation,and a level-crossing problem was also considered by means of fidelity.The influences of the initial states of the V type three-level atom and the parameter of the binomial optical fields on the second-order coherence degree were studied.The numerical results indicate that: when the atom is initially in the ground state,the duration of the bunching effect increases at the beginning and then decreases with the increasing of η;when the atom is initially in the coherent state,the duration of the bunching effect decreases with the increasing of η.Finally,both cases of the light fields displayed anti-bunching effect completely when the value of η was large enough.When other parameters didnot change,the average of G2(t) increases with the enlargement of coupling strengh.

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ACTA PHOTONICA SINICA•Jan 1, 2011•0 citations

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

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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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Quantum properties of the binomial state field interacting with a cascade three-level atom

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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.

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QUANTUM DYNAMICS OF A CASCADE THREE-LEVEL ATOM INTERACTING WITH COHERENT STATE IN THE COUNTER ROTATING WAVE APPROXIMATION

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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.

Acta Physica Sinica•Jan 1, 1998•0 citations
By the method of coherent-state orthogonalization expansion,the energy spectrum of the V type three-level atom was calculated exactly in the non-rotating wave approximation,and a level-crossing problem was also considered by means of fidelity.The influences of the initial states of the V type three-level atom and the parameter of the binomial optical fields on the second-order coherence degree were studied.The numerical results indicate that: when the atom is initially in the ground state,the duration of the bunching effect increases at the beginning and then decreases with the increasing of η;when the atom is initially in the coherent state,the duration of the bunching effect decreases with the increasing of η.Finally,both cases of the light fields displayed anti-bunching effect completely when the value of η was large enough.When other parameters didnot change,the average of G2(t) increases with the enlargement of coupling strengh.
The quantum properties of light in the system of Λ-type three-level atom interacting with radiation fields in binomial states are studied by means of quantum theory.The influences of the initial states of the Λ-type three-level atom and the parameter of the binomial optical fields on squeezing of the optical field and the second-order coherence degree are investigated in detail.As the detuning parameter of atom A and the parameter of the binomial optical fieldηare small,bunching and antibunching effect can be exhibited alternatively.With the increase of the parameters,the light field shows antibunching effect completely.If the detuning parameter of atomΔand the parameterηare chosen appropriately, the component X_1 of the light field in the coupling system will be squeezed during the certain time.The results indicate that the light field shows squeezing effects and continuous antibunching effect under a certain condition as it interactes with a A-type three-level atom.
The quantum properties of the light field in the system of two coupled V-type atoms interacting with coherent field in Kerr medium were studied.The solution describing the dynamics process of the system was gained by means of the coupled Tavis-Cummings model in quantum optics.Influences of the initial state,the detuning of the field,the coupling strength of dipole-dipole interaction between atoms and Kerr coefficient on the second-order correlation function and the squeezing parameter of the field were discussed.Numerical calculation results show: when the average photon number of the field in the initial state is smaller,the field exhibits apparent quantum effect;when the probability amplitude of the excited states of the atoms in the initial state changing from small to large,the anti-bunching effect of the field becomes more obvious,but the squeezing depth increase at first and then decrease;the detuning changing create small influence on the quantum properties of the field,its changing only change the oscillating period of the second-correlation function and the squeezing parameter of the field;the increasing of the coupling strength between the atoms weaken the anti-bunching effect of the field and make the squeezing depth become shallow;the increasing of Kerr coefficient enhances the anti-bunching effect of the field,but makes the squeezing depth become shallow.
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.
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.
Applying the method of coherent states orthogonalization expansion,the atomic population and the antibunching effect of the light field are studied in the system of interaction between a two-level atom and the Schrdinger cat state without rotating wave approximation( RWA). The results are compared with those in RWA.The influences of the original strength of the light field and two coherent phase angles on the atomic population and antibunching effect with RWA and without RWA are discussed respectively,and the antibunching effect in the weak coupling condition is also discussed without RWA. The results show that the atomic populations with RWA and without RWA have different properties with the different original strengths of the light field. As the original strength of the light field is smaller,the atomic populations with RWA and without RWA show the same properties,but with the increase of the original strength of the light field the population with RWA will show the collapse phenomenon. When the coupling strength is larger,the antibunching effects with RWA and without RWA have bigger difference. Without RWA the light field will appear bunching effect,whereas with RWA it will appear alternately the bunching effect and the antibunching effect with the increase of the original strength of light field.
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.