Eur. Phys. J. D 53, 253-257 (2009)
https://doi.org/10.1140/epjd/e2009-00120-y

Dynamics of entanglement in one-dimensional Ising chains with two- and three-body interactions

¹ Jiangsu Laboratory of Advanced Functional materials, Changshu Institute of Technology, 215500, Changshu, P.R. China
² School of Science, Suzhou University of Science and Technology, 215009, Suzhou, P.R. China
³ Department of Physics, Soochow University, 215006, Suzhou, P.R. China

Corresponding author: ^a yzwu@cslg.edu.cn

Received: 18 December 2008
Revised: 14 February 2009
Published online: 10 April 2009

Abstract

The evolution of entanglement in a one-dimensional Ising chain with both two-body and three-body interactions, under two types of initial states, is numerically simulated. We analyse three problems concerning the dynamics of pairwise entanglement: (i) the possibility of generating large entanglement from an initial separable state by the use of a selective irradiation scheme; (ii) the effect of three-body interaction on the generation of entanglement from an initial separable state; (iii) the effect of three-body interaction on the decay of the entanglement from a state with only (m,n)-pair maximal entangled, and the rest in product form. It is shown that a large pairwise concurrence C_mn can be obtained when the resonant, transverse radio-frequency fields are selectively switched on from the mth to nth spins. Three-body interaction will decrease the oscillation amplitude of the nearest neighbour concurrence, while the oscillation amplitude of remote pairwise concurrence will be greatly increased with the consideration of three-body interactions. For an initial (m,n)-pair maximal entangled state, a slow decay of the pairwise concurrence C_mn is found with the introduction of three-body interactions.