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Research PapersNo Access

QUANTUM ENTANGLEMENT IN THE SYSTEM OF TWO SPIN-1/2 PARTICLES WITH HEISENBERG EXCHANGE INTERACTION IN THE PRESENCE OF A SINGLE-MODE VACUUM FIELD

GUO-FENG ZHANG

Department of Physics, School of Sciences, Beijing University of Aeronautics and Astronautics, Xueyuan Road No. 37, Beijing 100083, People's Republic of China

Corresponding author.

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https://doi.org/10.1142/S0219749908003657Cited by:1 (Source: Crossref)

Abstract

The nonclassical properties of two spin-1/2 particles with Heisenberg exchange interaction in a single-mode vacuum field are investigated. By using the quantum reduced entropy, we demonstrate that the ratio k_a between Heisenberg exchange interaction constant difference (J - J_z) and the spin-field coupling constant Ω can affect the feature of the entanglement significantly. It is found that the entanglement of the system evolves periodically with time, the evolvement period of the entanglement between two spin-1/2 particles and the field increases with the increasing k_a, which is true for the single spin-field entanglement, but that is contrary for the entanglement between the two spin particles. Our results show that three entangled states of two spins-field, spin–spin, and spin-field can be prepared via two spin-1/2 particles interacting with a single-mode vacuum field. We also characterize the field state by using Mandel's Q parameter, it is proved that the nonclassical properties of the field state will get weaker with the increasing k_a and are dramatically different from those in the case of selective measurement for spin.

Keywords:

PACS: 03.67.Lx, 03.65.Ud, 75.10.Jm, 05.50.+q

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Vol. 06, No. 03

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Received 22 April 2008

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