中国物理B ›› 2008, Vol. 17 ›› Issue (3): 812-816.doi: 10.1088/1674-1056/17/3/013

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Formation of three-body entanglement via a vacuum optical cavity induction in Tavis--Cummings model

李玉良, 李雪梅   

  1. Department of Physics and Electronic Information Engineering, Minjiang University, Fuzhou 350108, China
  • 收稿日期:2007-10-11 修回日期:2008-01-01 出版日期:2008-03-04 发布日期:2008-03-04

Formation of three-body entanglement via a vacuum optical cavity induction in Tavis--Cummings model

Li Yu-Liang(李玉良)† and Li Xue-Mei(李雪梅)   

  1. Department of Physics and Electronic Information Engineering, Minjiang University, Fuzhou 350108, China
  • Received:2007-10-11 Revised:2008-01-01 Online:2008-03-04 Published:2008-03-04

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摘要： After briefly introducing Akhtarshenas, concurrence vector and subvector for describing many-body entanglement, we investigate the entanglement formation for a system which contains three bodies, i.e. two identical atoms and a single-model cavity field, in the Tavis--Cummings model by calculating the concurrences. The results show that the coupling strength between two atoms, the decay cavity and the atomic spontaneous emission can change the entanglement of formation according to different modes: these factors destroy periodicity and symmetry of all concurrences, and that the coupling strength of two atoms does not change the peak value of concurrence (C), but the strength of decay cavity and the atomic spontaneous emission decline in the peak value of concurrence (C) and the latter is more serious than the former under the same strengths. The concurrence vector and subvector are a useful measure of entanglement for a pure state of the many-body system, in that it can give novel pictures about the entanglements for the entire system and between its inner bodies.

关键词: quantum three-body entanglement, concurrence vector, cavity QED

Abstract: After briefly introducing Akhtarshenas, concurrence vector and subvector for describing many-body entanglement, we investigate the entanglement formation for a system which contains three bodies, i.e. two identical atoms and a single-model cavity field, in the Tavis--Cummings model by calculating the concurrences. The results show that the coupling strength between two atoms, the decay cavity and the atomic spontaneous emission can change the entanglement of formation according to different modes: these factors destroy periodicity and symmetry of all concurrences, and that the coupling strength of two atoms does not change the peak value of concurrence (C), but the strength of decay cavity and the atomic spontaneous emission decline in the peak value of concurrence (C) and the latter is more serious than the former under the same strengths. The concurrence vector and subvector are a useful measure of entanglement for a pure state of the many-body system, in that it can give novel pictures about the entanglements for the entire system and between its inner bodies.

Key words: quantum three-body entanglement, concurrence vector, cavity QED

中图分类号:  (Cavity quantum electrodynamics; micromasers)

  • 42.50.Pq
03.65.Ud (Entanglement and quantum nonlocality) 03.67.Mn (Entanglement measures, witnesses, and other characterizations) 42.50.Dv (Quantum state engineering and measurements)