Detect genuine multipartite entanglement in the one-dimensional transverse-field Ising model |
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Authors: | Dong-Ling Deng Jing-Ling Chen |
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Affiliation: | a Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071, People’s Republic of China b Department of Physics and ITP, The Chinese University of Hong Kong, Hong Kong, People’s Republic of China |
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Abstract: | Recently Seevinck and Uffink argued that genuine multipartite entanglement (GME) had not been established in the experiments designed to confirm GME. In this paper, we use the Bell-type inequalities introduced by Seevinck and Svetlichny [M. Seevinck, G. Svetlichny, Phys. Rev. Lett. 89 (2002) 060401] to investigate the GME problem in the one-dimensional transverse-field Ising model. We show explicitly that the ground states of this model violate the inequality when the external transverse magnetic field is weak, which indicate that the ground states in this model with weak magnetic field are fully entangled. Since this model can be simulated with nuclear magnetic resonance, our results provide a fresh approach to experimental test of GME. |
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Keywords: | Multipartite entanglement Nonlocality Bell-type inequality Ising model |
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