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Journal of Jishou University

Two-Photon Tavies-Cummings Model of Quantum Entanglement in Cavity Field in the Dissipative Condition

Yi Jian, Wu Yun-Wen

Published Jul 25, 2011• 0 citations
OpenAlex

Abstract

This paper investigates quantum entanglement of two atoms in the non-dissipative and dissipative cases by means of concurrence.The results indicate that maximum entanglement condition can be prepared by controlling the interacting time and due to the two-photon transition of atoms,the time required to prepare the maximum entanglement in two-photon Tavies-Cummings model is of that in single-photon Tavies-Cummings model.In addition,the atomic spontaneous emission and cavity decay make the maximum coherence of two atoms decrease periodically.

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We investigated the entanglement time evolution of two entangled two-level atoms. The two atoms can undergo multiphoton transition when they interact resonantly with a single-mode field in the coherent state. The results show that the two-atom entangled state evolves periodicity. The influence of the two-atom initial state，the dipole-dipole coupling intensity between two atoms，the parameter of the coherent state and the number of the transitional photons on the entanglement degree of two atoms are revealed. When the initial state is a maximum entangled state，the state of the two entangled atoms will forever stay in this maximum entangled state. So this kind of entanglement state can be used for quantum information storage.
We investigate atom-cavity entanglement in the time evolution and the thermal entanglement in two-photon Jaynes-Cummings model by means of concurrence. The result shows that atom-cavity entangled state appears with periodicity, which decreases with the increasing coupling strength between the atom and cavity; In finite temperature, the concurrence decreases with the increasing of temperature, thermal entanglement vanishes in this Jaynes-Cummings model when system temperature reaches the critical temperature, which is proportional to the coupling strength of atom-cavity. For typical experimental data, the critical temperature is on the order of 10~(-5) K.
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Considering two-atom degenerate two-photon Tavis-Cummings model, we investigate the entanglement between two atoms prepared initially in the coherent disentangled states and cavity field prepared in few-photon Fock state, and study the effect of the Stark shift on entanglement. The results show that the atom–atom negativity evolve periodically with time and the periods are affected by the Stark shift and initial coherent atomic state and that the atom–atom entanglement can be greatly enhanced due to the presence of Stark shift. We also have shown that entanglement sudden death effect vanishes for some parameters of the considered system due to the presence of Stark shift. In addition, the entanglement sudden death effect vanishes due to the presence of Stark shift. We have derived that the dynamic Stark shift can be used to control entanglement between two initially disentangled atoms.