Abstract In this paper, we investigate the quantum entanglement in a two-dimensional ion trap system. We discuss the quantum entanglement between the ion and phonons by using reduced entropy, and that between two degrees of freedom of the vibrational motion along x and y directions by using quantum relative entropy. We discuss also the influence of initial state of the system on the quantum entanglement and the relation between two entanglements in the trapped ion system.
Received: 21 May 2002
Revised: 09 December 2002
Accepted manuscript online:
(Mechanical effects of light on atoms, molecules, and ions)
Fund: Projects supported by the National Natural Science Foundation of China (Grant No 19874020), the Natural Science Foundation of Hunan province (Grant No 01JJY3030) and the Ministry of Education, China.
Cite this article:
Wang Cheng-Zhi (王成志), Fang Mao-Fa (方卯发) Quantum entanglement in a two-dimensional ion trap 2003 Chinese Physics 12 287
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