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Acta Physica Sinica

QUANTUM MECHANICAL CHANNEL AND QUANTUM MUTUAL ENTROPY IN THE TWO-PHOTON JAYNES-CUMMINGS MODEL

Mao-Fa Fang

Published Jan 1, 2000• 0 citations
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Abstract

We have studied the dynamics of the two\|photon Jaynes\|Cummings model (TPJCM) by using the quantum information theory, given the quantum mechanical channel representing the state change of atom, derived the quantum mutual entropy and reduced entropy of the atom, and examined the effects of the phase coherence of initial cavity field and the Stark shift of atomic levels on the quantum mutual entropy in the TPJCM. It is shown that quantum mutual entropy \{evolves\} periodically, quantum mechanical channel transmits periodically the information of atomic initial state to its final states, and quantum mechanical channel and mutual entropy are also dependent on the phase coherence of initial cavity field and on the Stark shift of atomic levels.

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We have studied the dynamics of the two|photon Jaynes|Cummings model (TPJCM) by using the quantum information theory, given the quantum mechanical channel representing the state change of atom, derived the quantum mutual entropy and reduced entropy of the atom, and examined the effects of the phase coherence of initial cavity field and the Stark shift of atomic levels on the quantum mutual entropy in the TPJCM. It is shown that quantum mutual entropy {evolves} periodically, quantum mechanical channel transmits periodically the information of atomic initial state to its final states, and quantum mechanical channel and mutual entropy are also dependent on the phase coherence of initial cavity field and on the Stark shift of atomic levels.
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.
The time evolution of the linear entropy of an atom in k-photon Jaynes–Cummings model is investigated taking into consideration Stark shift and Kerr-like medium. The effect of both the Stark shift and Kerr-like medium on the linear entropy is analyzed using a numerical technique for the field initially in coherent state and in even coherent state. The results show that the presence of the Kerr-like medium and Stark shift has an important effect on the properties of the entropy and entanglement. It is also shown that the setting of the initial state plays a significant role in the evolution of the linear entropy and entanglement.
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