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Acta Physica Sinica

Quantum mechanical channel and quantum mutual entropy in the two-photon Jaynes-Cummings model with atomic motion

Xiaojuan Liu, Mao-Fa Fang, Qingping Zhou, (1)湖南师范大学物理与信息学院,长沙 410081;中国科学院安徽光学精密机械研究所,合肥 230031; (2)湖南师范大学物理与信息学院,长沙 410081;中国科学院安徽光学精密机械研究所,合肥 230031;湖南科技大学物理学院,湘潭 411201

Published Jan 1, 2005• 4 citations
Publisher

Abstract

The dynamics of the two_photon Jaynes_Cummings model with atomic motion are studied by using the quantum information theory, and the quantum echanical channel representing the state change of atom is given; the quantum mutual entropy and reduced entropy of the atom are derived. The influences of the atomic motion and the field structure on the quantum mutual entropy are examined. It is shown that the properties of quantum mechanical channel are strongly dependent on the atomic motion, the field model structure, and the entanglement between the atom and the field.

DOI
10.7498/aps.54.703

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The entangled properties of motorial atom and field in the two-photon Jaynes-Cummings model with atomic motion are studied by using the quantum information theory.It is shown that:(1) When the parameter p of the field model structure with atomic motion is smaller,the entanglement of system is not provided with the characteristic of periodic oscillations,when the value of p is greater,the entanglement of system is obviously provided with the characteristic of periodic oscillations,the oscillation period is as much again as atom is resting.When motorial atom is prepared in ground state or excited state,the system is in the disentangled state;when motorial atom is prepared in coherent superpositions states,the entanglement occurs between motorial atom and field.
The behavior of atoms in the Jaynes–Cummings model has been discussed and analyzed extensively to date in terms of transition probability and entropy. In this paper, the Jaynes–Cummings model is described in terms of a quantum-mechanical channel expressing the state transition. For this channel, von Neumann entropy and quantum mutual entropy are derived. By means of these quantities, the variation of the atomic state and its nonreciprocity in this model are discussed. © 2000 Scripta Technica, Electron Comm Jpn Pt 3, 84(1): 95–103, 2001
The behavior of atoms in the Jaynes–Cummings model has been discussed and analyzed extensively to date in terms of transition probability and entropy. In this paper, the Jaynes–Cummings model is described in terms of a quantum-mechanical channel expressing the state transition. For this channel, von Neumann entropy and quantum mutual entropy are derived. By means of these quantities, the variation of the atomic state and its nonreciprocity in this model are discussed. © 2000 Scripta Technica, Electron Comm Jpn Pt 3, 84(1): 95–103, 2001
Based on the quantum information theory, we have investigated the entropy squeezing of a moving two-level atom interacting with the coherent field via the quantum mechanical channel of the two-photon process. The results are compared with those of atomic squeezing based on the Heisenberg uncertainty relation. The influences of the atomic motion and field-mode structure parameter on the atomic entropy squeezing and on the control of noise of the quantum mechanical channel via the two-photon process are examined. Our results show that the squeezed period, duration of optimal entropy squeezing of a two-level atom and the noise of the quantum mechanical channel can be controlled by appropriately choosing the atomic motion and the field-mode structure parameter, respectively. The quantum mechanical channel of two-photon process is an ideal channel for quantum information (atomic quantum state) transmission. Quantum information entropy is a remarkably accurate measure of the atomic squeezing.