Eur. Phys. J. B (2015) 88: 26
https://doi.org/10.1140/epjb/e2014-50222-2

Regular Article

The entanglement entropy for quantum system in one spatial dimension

¹ Laboratory of Forensic Medicine and Biomedical Information, Chongqing Medical University, Chongqing 400016, P.R. China
² School of Science, Xian Polytechnic University, Xi’an 710048, P.R. China

^a e-mail: tianteradar@gmail.com

Received: 1 April 2014
Received in final form: 12 August 2014
Published online: 21 January 2015

Abstract

Ground-state entanglement entropies were investigated for the one-dimension quantum two- and three-spin interaction models, the four-state Potts model, and the XXZ model with uniaxial single-ion-type anisotropy, which were obtained on an infinite-size lattice in one spatial dimension. Thus we show that the entanglement, a key concept of quantum information science, is quantified by the ground-state entanglement entropy. The relationships between ground-state entanglement entropy and quantum phase transition was analyzed. These results were obtained using the infinite matrix product state algorithm which works in the thermodynamical limit.