Eur. Phys. J. D (2013) 67: 154
https://doi.org/10.1140/epjd/e2013-40045-2

Regular Article

Topology of entanglement in multipartite states with translational invariance

School of Physics and Electric Engineering, Anyang Normal University, Anyang 455000, P.R. China

^a e-mail: cuiht@aynu.edu.cn

Received: 26 January 2013
Received in final form: 7 April 2013
Published online: 24 July 2013

Abstract

The topology of entanglement in multipartite states with translational invariance is discussed in this article. Two global features are foundby which one can distinguish distinct states. These are the cyclic unit and the quantised geometric phase. Furthermore the topology is indicated by the fractional spin. Finally a scheme is presented for preparation of these types of states in spin chain systems, in which the degeneracy of the energy levels characterises the robustness of the states with translational invariance.