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Journal of Hebei Normal University

Fidelity of the System of a Fock State Field Interacting with Three Two-level Atoms

SU Shaolon

Published Jan 1, 2014• 0 citations
OpenAlex

Abstract

The character of the time evolution of the fidelity of quantum state in a system of a Fock state field interacting with three two-level atoms have been studied by means of numerical calculation and quantum fidelity.The variation of the fidelity of different quantum states which was taken the track on the field and the atomic and the influence of photon number on the fidelity of different quantum states have been discussed.The numerical results show that the greater the photon numbers are,the faster frequency of the oscillation of the fidelity of quantum state becomes.

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The character of the time evolution of the fidelity of quantum state in a system of a Fock state field interacting with three two-level atoms have been studied by means of numerical calculation and quantum fidelity.The variation of the fidelity of different quantum states which was taken the track on the field and the atomic and the influence of photon number on the fidelity of different quantum states have been discussed.The numerical results show that the greater the photon numbers are,the faster frequency of the oscillation of the fidelity of quantum state becomes.
By means of numerical methods,the fidelity of the system of a fock state field interacting with the two two-level atoms have been studied.The effects of cavity-atoms detuning,photon number and manipulation of the atom on fidelity of the system are discussed.The results show that the information is undistorted completely in the initial moment in the absence of manipulation of the atom.Moreover the frequency of the oscillation,the peak and the period of fidelity of the system can be controlled by cavity-atoms detuning,photon number and manipulation of the atom.The Information is distorted in the initial moment in the presence of the manipulation of atom.Fidelity of the system can be controlled by the manipulation of the classical filed.
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.
By means of numerical methods,we studied the fidelity of the system which contained a moving two-level atom and the binomial light field.The impact of different initial states is discussed to the fidelity of quantum states.The result showed that the velocity of atom effect the oscillation period of the fidelity,and different initial state of atom and the optical field parameters on the fidelity have a bigger influence.When the atom is in superposition state and the field has a bigger initial average number of photons the fidelity of the system has a higher value.
Using the multiphoton Jaynes-Cummings model,the dynamical properties of the fidelity of quantum states in the system that consists of a two-level atom interacting with a single-mode field via multiphoton transition are studied.The frequency of the field varying with time in the form of sine is considered.The results obtained by numerical calculations show that the time-evolution behavior of the fidelities of field and system is not influenced by the frequency variation of field,but the time-evolution behavior of the fidelity of atom is modulated by the frequency variation of field.The larger the amplitude of the field frequency variance u is,the stronger modulation interaction of the field frequency variance is.When the amplitude u is larger than a fixed value,the time-evolution behavior of the fidelity of atom will display quasiperiodic oscillation behavior.Its oscillation period is in agreement with the period of frequency varying.The initial state of atom influences the time-evolution behavior of the fidelity of atom.
Using the Jaynes-Cummings model,the dynamical properties of the fidelity of quantum states in the system that consists of a two-level atom interacting with a single-mode field are studied.The frequency of the field varying with time in the form of sine is considered.The results obtained by numerical calculations show that the time-evolution behavior of the fidelities of field and system are not influenced by the frequency variation of field,but the time-evolution behavior of the fidelity of atom is modulated by the frequency variation of field.The larger the amplitude of the field frequency variance u is,the stronger modulation interaction of the field frequency variance is.When the amplitude u is larger than a fixed value,the time-evolution behavior of the fidelity of atom will display periodic oscillation behavior.Its oscillation period is in agreement with the period of frequency varying.