Renormalization of trace distance and multipartite entanglement close to the quantum phase transitions of one- and two-dimensional spin-chain systems
Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang University - Hangzhou 310027, PRC
Received: 16 March 2016
Accepted: 2 September 2016
We investigate the quantum phase transitions of spin systems in one and two dimensions by employing trace distance and multipartite entanglement along with the real-space quantum renormalization group method. As illustration examples, a one-dimensional and a two-dimensional XY models are considered. It is shown that the quantum phase transitions of these spin-chain systems can be revealed by the singular behaviors of the first derivatives of renormalized trace distance and multipartite entanglement in the thermodynamics limit. Moreover, we find that the renormalized trace distance and multipartite entanglement obey certain universal exponential-type scaling laws in the vicinity of the quantum critical points.
PACS: 05.30.Rt – Quantum phase transitions / 75.10.Pq – Spin chain models / 05.10.Cc – Renormalization group methods
© EPLA, 2016