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Journal of Atomic and Molecular Physics

Quantum properties in a system of interaction between a two-level atom and the Schrdinger cat state

Li Peng

Published Jan 1, 2015• 0 citations
OpenAlex

Abstract

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.

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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 atomic population inversion in a system of a two-level atom interacting with the Schrdinger cat state light field was studied by solving the Milburn equation.The effect of intrinsic decoherence,the strength of light field and the phase angle between the two coherence states on atomic population inversion were analyzed.The results show that the atomic population inversion decreases to zero with the evolvement of time under intrinsic decoherence.The atomic population inversion damps strongly with the reducing of the intrinsic decoherence as the strength of light field is at a fixed value.The atomic population inversion decreases quickly in an odd coherent state but slowly in an even coherent state.The value of atomic population inversion in a Yurke-Stoler coherent state is between them.When the intrinsic decoherence keeps at the fixed level,the collapse and revival phenomena will be appear with the increase of the strength of light field.Rabi oscillation damps to zero faster.
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.
In this paper,the atomic population evolution vs.time in the system of three-level casade atom interacting with a single-mode coherent light field is investigated without rotating wave approximation.The influence of the initial mean photon number n of field,of the atom-field coupling sonstant λ and of the light frequency ω on the atomic population is also discussed.And we compare without rotating wave approximation with rotating wave approximation,and find many differences of the atomic population evolution curves on the identical initial field-strength.It has been shown that because of the influence of the virtual-photon process,the little saw-tooth which represents the quantum noise of the system appear in the evolution curves of thae atomic population of the stimulated radiation field.With the increase of light frequency ω,the quantum noise of the system decreases,and then disappears.And with the increases of the initial field-strength n,the quantum noise of the system increases gradually.Meanwhile,the initial field-strength n and atom-field coupling constant λ influence the oscillation period the quantum collapse-revival of the atomic population evolution curves of stimulated radiation field,too.
The squeezing properties of a light-atom interacting system are studied by means of quantum theory. In the system, two two-level atoms are initially in an entangled state, and the coherent optical field is in a Schrodinger cat state. Influence of the strength of optical field and the phase angle of the coherent states on the double atoms dipole squeezing and the optical field amplitude squeezing are discussed by numerical calculations. It is found that under weak optical field condition, the optical field amplitude squeezing of even coherent state and Yurke-Stoler coherent state interacting with entangled state of atoms is no existence, but the optical field amplitude squeezing of odd coherent states is existence. In the same condition, the double atomic dipole squeezing of even coherent states interacting with entangled state of atoms is no existence, but the double atomic dipole squeezing of odd coherent state and Yurke-Stoler coherent state is existence. Under strong optical field condition, two squeezing phenomenon is no existence.
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.