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Chinese Journal of Quantum Electronics

Quantum properties of the binomial states field interacting with a Λ-type three-level atom

Cui Ying-hua

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

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.

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ACTA PHOTONICA SINICA•Jan 1, 2011•0 citations
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.
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.
In this article, the quantum properties of light field of the two identical two-level entangled atoms interacting with the binomial optical field were studied by means of time evolution operator and numerical calculations. The results show that the time evolution of the squeezing and coherence properties of the light field depends on the entanglement degree of the initial two identical two-level entangled atoms and the parameters of the binomial optical field. The optical field fluctuation can be completely squeezed via choosing appropriate parameters.
Considering two Λ-type three-level atoms initially in the entangled state, one atom is poured into the cavity and interacts with a two-mode cavity. The squeezing and antibunching effects of the field are investigated. The influences of the selective atomic measurement and the intensity of the coherent field, which interacts with atom on squeezing and antibunching effect of the field, are discussed. The results obtained by numerical calculations show that squeezing and antibunching effect of the field can be strengthened through selective atomic measurement for atom outside of the cavity.
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 squeezing properties of binomial state field interacting with Bose-Einstein condensate of two-level atoms are investigated within and without rotating-wave approximation by means of quantum theory. The influences of atomic eigenfrequency, the coupling constant between light field and atoms，the parameter of light field and the virtual photon field on squeezing properties have been discussed. The results show that two quadrature components can be squeezed periodically, and the duration of squeezing light has something to do with atomic eigenfrequency ω, and the degree of squeezing with the parameter of the binomial states field η and the virtual photon field. The frequency of light fluctuations collapse and revival is determined by the coupling constant between light field and atoms.
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.