Eur. Phys. J. B 83, 1-5 (2011)
https://doi.org/10.1140/epjb/e2011-20035-0

Reduced fidelity, entanglement and quantum phase transition in the one-dimensional bond-alternating S = 1 Heisenberg chain

¹ Department of Physics, Sanjiang College, Nanjing, 210012, P.R. China
² School of Physics Science and Technology, Yangzhou University, Yangzhou, 225002, P.R. China
³ Department of Electronic and Information Engineering, Yangzhou Polytechnic Institute, Yangzhou, 225002, P.R. China
⁴ Faculty of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing, 210044, P.R. China

Corresponding author: ^a jian_jun_jiang@yahoo.cn

Received: 13 January 2011
Revised: 30 June 2011
Published online: 19 August 2011

Abstract

By using the method of density-matrix renormalization group, the reduced fidelity and entanglement in the one-dimensional bond-alternating S = 1 Heisenberg chain are investigated. The results demonstrate that the quantum phase transition from the Haldane phase to the dimer phase can be characterized by the reduced fidelity and the first derivation of the entanglement entropy. Through the finite-size scaling, the critical point and the critical exponent of the correlation length are obtained accurately.