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Chinese journal of atomic and molecular physics

The fidelities of quantum states of system in Jaynes-Cummings model containing atomic motion

Liu Tang

Published Jan 1, 2001• 1 citation
OpenAlex

Abstract

The fidelities of quantum states of system in Jaynes Cummings model containing atomic motion under action of coherent field are studied. The influence of atomic motion and the field mode structure on the fidelities of quantum states of system in different atomic initial states is discussed. The result indicates that both the atomic motion and the field mode structure can modulate the fidelities of quantum states in the system of interaction.

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•Oct 1, 2002•0 citations
The fidelities of quantum states of system in Jaynes Cummings model containing atomic motion under action of coherent field are studied. The influence of atomic motion and the field mode structure on the fidelities of quantum states of system in different atomic initial states is discussed. The result indicates that both the atomic motion and the field mode structure can modulate the fidelities of quantum states in the system of interaction.
Based on the quantum theory and numerical calculation,the fidelities of quantum states were investigated in intensity-dependent Jaynes-Cummings model containing atomic motion under the interaction of coherent field.The analytical expressions of the fidelities of quantum states were derived and simulation results were obtained.In addition,the influence of atomic motion and the field mode structure on the fidelities of quantum states of the system in different atomic initial states was discussed.The results indicate that both the atomic motion and the field mode structure can modulate the fidelities of quantum states in the system of interaction.The greater the velocities of atomic motion,the higher the fidelities of the three systems are.On the other hand,the larger the field mode structures,the higher fidelity of the three systems.The results are meaningful for the development of quantum communication and quantum calculation.
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.
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.