corner
corner

Phys. Rev. A 77, 062321 (2008) [8 pages]

Fidelity approach to Gaussian transitions

Download: PDF (689 kB) Buy this article Export: BibTeX or EndNote (RIS)

Yu-Chin Tzeng (曾郁欽)1, Hsiang-Hsuan Hung (洪祥軒)2, Yung-Chung Chen1, and Min-Fong Yang1,*
1Department of Physics, Tunghai University, Taichung, Taiwan
2Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, USA

Received 3 April 2008; published 13 June 2008

The fidelity approach to the Gaussian transitions in spin-one XXZ spin chains with three different values of Ising-type anisotropy λ is analyzed by means of the density matrix renormalization group technique for systems of large sizes. We find that, despite the success in the cases of λ=2.59 and 1, the fidelity susceptibility fails to detect the Gaussian transition for λ=0.5. Thus our results demonstrate the limitation of the fidelity susceptibility in characterizing quantum phase transitions, which was proposed recently in general frameworks.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.77.062321
DOI:
10.1103/PhysRevA.77.062321
PACS:
03.67.−a, 75.10.Pq, 05.70.Fh, 71.10.Pm

*mfyang@thu.edu.tw