Volume 108, Number 4, November 2014
|Number of page(s)||6|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|Published online||19 November 2014|
Signature of topological quantum phase transitions via Wigner-Yanase skew information
1 Institute of Signal Processing & Transmission, Nanjing University of Posts and Telecommunication Nanjing 210003, China
2 Department of Physics, Hubei Normal University - Huangshi 435002, China
3 National Laboratory of Solid State Microstructures and Innovation Center of Advanced Microstructures, Nanjing University - Nanjing 210093, China
Received: 17 July 2014
Accepted: 28 October 2014
We apply the Wigner-Yanase skew information approach to analyze two typical models that exhibit a topological quantum phase transition. Based on the exact solutions of the ground states, the Wigner-Yanase skew information between two nearest sites for each of the two models is obtained. For the one-dimensional Kitaev chain model, the first-order derivative of the Wigner-Yanase skew information is non-analytical around the critical point. The scaling behavior and the universality are verified numerically. In particular, the skew information can also detect the factorization transition in such a model. For the two-dimensional Kitaev honeycomb model, the first-order derivative of the Wigner-Yanase skew information shows some singularities at the critical points where the system transits from the gapless phase to the gapped one. Our results suggest that the Wigner-Yanase skew information can serve as a good indicator of the topological phase transitions in these models and shed considerable light on the relationships between topological quantum phase transition and information theory.
PACS: 64.70.Tg – Quantum phase transitions / 03.65.Vf – Phases: geometric; dynamic or topological / 03.65.Ta – Foundations of quantum mechanics; measurement theory
© EPLA, 2014
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