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Factorized Three-body S-Matrix Restrained by Yang-Baxter Equation and Quantum Entanglements

arXiv
Authors: Li-Wei Yu, Qing Zhao, Mo-Lin Ge

Year

2013

Paper ID

31763

Status

Preprint

Abstract Read

~2 min

Abstract Words

103

Citations

N/A

Abstract

This paper investigates the physical effects of Yang-Baxter equation (YBE) to quantum entanglements through the 3-body S-matrix in entangling parameter space. The explicit form of 3-body S-matrix breve{R}123\(θ,varphi\) based on the 2-body S-matrices is given due to the factorization condition of YBE. The corresponding chain Hamiltonian has been obtained and diagonalized, also the Berry phase for 3-body system is given. It turns out that by choosing different spectral parameters the breve{R}\(θ,varphi\)-matrix gives GHZ and W state respectively. The extended 1-D Kitaev toy model has been derived. Examples of the role of the model in entanglement transfer are discussed.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • This paper investigates the physical effects of Yang-Baxter equation (YBE) to quantum entanglements through the 3-body S-matrix in entangling parameter space.

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