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Journal of Atomic and Molecular Physics

Preparation and control for atom periodic quantum echo via light field intensity-dependent coupling multiphoton channel

Zhou Bing

Published Jan 1, 2011• 0 citations
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Abstract

In this paper,the evolution of the fidelity of atomic states is investigated via a light field intensity -dependent coupling multiphoton channel,the preparation and the control for atom periodic quantum echo is discussed,as well.Considering the effects on the evolution of the fidelity of the atomic states by atomic coherent distribution angle,average photon number of the field,and photon number k absorbed (emitted)as the atom transition,respectively,we obtain the system parameter of preparation and control the atom periodic quantum echo,show up its physical characters of a high-fidelity output of the atomic information.

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Preparation and Control for Periodic Quantum Echo of Atom Bit via Two-mode Light Field Intensity-dependent Coupling Multiphoton Channel

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In the rotating-wave approximation,the produce and control for periodic quantum echo of atom bit interacting with a two-mode coherent light field is investigated via intensity-dependent coupling multiphoton channel by means of the full quantum theory.The effects on the evolution of the fidelity of atom bit for both the distribution form and distribution range of the average photon number of the two-mode coherent light field,and the photon number k of absorbed(emitted) as the atoms transition are discussed by numerical calculations,respectively.The system parameter of preparation and control for periodic quantum echo of atomic bits are obtained.According to the entanglement theory,the relation of the fidelity of atom bit with atomic reduced entropy is analyzed.The results show that atom bitkeeps good coherence and fidelity,and will produce periodic quantum echo for the two photon process as k=1,by regulation average photon number of the light fields being symmetrical or asymmetrical distribution and its value in a certain range.For k≥2 multiphoton process,the atom bit is always in a maximally entangled with the two-mode coherent light field so that the atom bit is in a state of partial distortion without periodic quantum echo.It is shown that the physical nature of the periodic quantum echo produce is periodic disentangled between the atom bit and the light field.

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Fidelity of quantum state for interacting system of the binomial photon field and atomic Bose-Einstein condensate

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The fidelity evolution of quantum state under the interaction of the binomial photon field and atomic Bose-Einstein condensate (BEC) are studied by full quantum theory.The influences of the interaction among atoms of BEC,the average atomic number of atomic BEC and the parameter of light field on the fidelity are investigated.The results indicate that the amplitude and oscillated period of fidelity of quantum information for the interaction system can be controlled by choosing the intensity of the interaction among atoms and the average atomic number on the ground state.And the change of the light parameter only plays a role on the fidelity effect.The higher fidelity can be obtained.by choosing suitable parameters.

Chinese Journal of Quantum Electronics•Jan 1, 2008•0 citations
In this paper,the evolution of the fidelity of atomic states is investigated via a light field intensity -dependent coupling multiphoton channel,the preparation and the control for atom periodic quantum echo is discussed,as well.Considering the effects on the evolution of the fidelity of the atomic states by atomic coherent distribution angle,average photon number of the field,and photon number k absorbed (emitted)as the atom transition,respectively,we obtain the system parameter of preparation and control the atom periodic quantum echo,show up its physical characters of a high-fidelity output of the atomic information.
In the rotating-wave approximation,the produce and control for periodic quantum echo of atom bit interacting with a two-mode coherent light field is investigated via intensity-dependent coupling multiphoton channel by means of the full quantum theory.The effects on the evolution of the fidelity of atom bit for both the distribution form and distribution range of the average photon number of the two-mode coherent light field,and the photon number k of absorbed(emitted) as the atoms transition are discussed by numerical calculations,respectively.The system parameter of preparation and control for periodic quantum echo of atomic bits are obtained.According to the entanglement theory,the relation of the fidelity of atom bit with atomic reduced entropy is analyzed.The results show that atom bitkeeps good coherence and fidelity,and will produce periodic quantum echo for the two photon process as k=1,by regulation average photon number of the light fields being symmetrical or asymmetrical distribution and its value in a certain range.For k≥2 multiphoton process,the atom bit is always in a maximally entangled with the two-mode coherent light field so that the atom bit is in a state of partial distortion without periodic quantum echo.It is shown that the physical nature of the periodic quantum echo produce is periodic disentangled between the atom bit and the light field.
By means of the full quantum theory,the conditions of generating a periodical quantum echo in the two-photon channel of a atom bit with arbitrary (pure or mixed) initial states was investigated,in coherent light field.Having studied the effects both the atom bit initial state and the surroundings parameter on its fidelity evolution,respectively,the parameter for control the periodical quantum echo of the atom bit was got and discuss its physical characters was discussed,that may be as a possible theoretical basis to the realization of a high fidelity output of quantum information.
In this paper,the Tavis-Cummings(TC) model is generalized to simultaneously consider atomic motions and fields via intensity dependent coupling.Evolution of the fidelity of quantum states of entangled two-atom with motion interacting with light field via intensity-dependence coupling is investigated by means of the full quantum theory.The effects on the evolution of the fidelity of quantum states from the initial entanglement factor  of the two-atom and the average photon number n-and field-mode structure parameter p of the field are researched by numerical calculations.The formation rule of quantum echoes of two-atoms is analyzed,and its physical essence is revealed.The results show that period quantum echo of the two-atom is always produced in the case of field-mode structure parameter p=1,independent of light intensity n-and the initial entanglement factor  of the two-atom.Bell-state atoms can produce quantum echo with 2π/p cycle on the conditions of strongly coherent field,via changing the p of from 1 to any value less than 800.When p≥800,no matter what value of  takes,the light field is a vacuum field,weakly coherent field or strong coherent field,the fidelity of quantum states of the two-atom is always 1,that is the first class Bell state-atoms is in the fidelity state continuously.But when the initial entanglement factor  of two-atom is 3π/4,no matter how both values of n-,p are,the fidelity of quantum states of the two-atom maintains 1,namely the two-atom is in the fidelity state of the second class Bell-state continuously.The conclusions show that the extension model has good properties of periodic quantum echoes of two-atom,and provides the theoretical parameters and physical carrier for high fidelity output of entangled two-atoms information and experimental implementation of quantum information processing in the noise environment.
In this paper, the Tavis-Cummings model is generalized to simultaneously consider the atomic motion and the field via intensity dependent coupling. Under the conditions of vacuum field, weakly and strongly coherent field, the entanglement evolution properties of two-atom-field and two-atom-two-atom are investigated using atomic reduced entropy and concurrence, respectively. According to evolution characteristics above, we prepare the W-class states of two-atom-field, two-atom Bell state, fidelity state of Bell-state atoms, single-photon state, two-photon state and stable number-states of field by selecting the interaction time of the two-atom-field, selecting the entanglement factor of the two-atom, regulating the field-mode structure parameter, controlling the probability amplitude of pure state of the system and selective measurement. The manipulation of two-atom Bell state sudden generation and its maintenance in a limited time, the formation of periodic quantum echo of Bell-state atoms and the continuous fidelity of Bell-state atomic information are achieved. The results show that the system has a powerful function of quantum information, and provide the physical carrier and theoretical parameters for experimental implementation of quantum information processing.
The time evolution properties of the quantum fidelity in a system of multi-mode coherent light field resonantly interacting with a two-level atom via any Nj-degenerate N∑-photon transition process are studied by the fully quantum theory and numerical calculations. The analytical expressions of the quantum fidelity of field and atom, and the numerical calculation results for three-mode field interacting with the atom are obtained. Our attention focuses on the discussion of the influences of the initial average photon number, the atomic distribution angle, the phase angle of the atom dipole, the field excitation angle, and the atomic degeneracy on the evolution of the quantum fidelity. The results obtained from the numerical calculation indicate that the above factors lead to the quantum fidelity changing with oscillation behavior. The quantum fidelity of field and atom will drastically decrease as the initial light increases, which is correlated sensitively with the fidelity. The speed change of quantum fidelity is strongly dependent on the atomic degeneracy and the intensity coupling between atoms and fields. The value and frequency of the quantum fidelity change lightly with the atomic distribution angle and the angle of light field excitation as well. The phase angles of the atom dipole almost have no influences on the quantum fidelity of field and atom. According to these properties of the quantum fidelity, we can control the speed and value of quantum fidelity in the system by these constraint conditions.
The fidelity evolution of quantum state under the interaction of the binomial photon field and atomic Bose-Einstein condensate (BEC) are studied by full quantum theory.The influences of the interaction among atoms of BEC,the average atomic number of atomic BEC and the parameter of light field on the fidelity are investigated.The results indicate that the amplitude and oscillated period of fidelity of quantum information for the interaction system can be controlled by choosing the intensity of the interaction among atoms and the average atomic number on the ground state.And the change of the light parameter only plays a role on the fidelity effect.The higher fidelity can be obtained.by choosing suitable parameters.