Abstract We investigate the pairwise entanglement and global entanglement in a generalized Jaynes--Cummings model, which can be used to realize Greenberger--Horne--Zeilinger (GHZ) entangled state (Zheng S B 2001 Phys. Rev. Lett.87 230404). Our results show that the W-type entangled states cannot be generated based on the model. The dependences of entanglement on Rabi frequency $\lambda$ and dipole--dipole coupling strength ${\it \Omega}$ are given. It is found that there exists the quantum phase transition when $\lambda={\it \Omega}$. For typical experimental data, the critical temperature for pairwise entanglement is on the order of $10^{-6}$ K. Based on these results, two strategies that overcome decoherence are proposed.
Accepted manuscript online:
PACS:
42.50.Dv
(Quantum state engineering and measurements)
Fund: Project supported by the National
Nature Science Foundation of China (Grant No 10604053).
Cite this article:
Zhang Guo-Feng(张国锋) and Liu Jia(刘佳) Entanglement in a generalized Jaynes--Cummings model 2007 Chinese Physics 16 3595
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