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Chin. Phys. B, 2016, Vol. 25(3): 030501    DOI: 10.1088/1674-1056/25/3/030501
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Fidelity spectrum: A tool to probe the property of a quantum phase

Wing Chi Yu, Shi-Jian Gu
Department of Physics and ITP, The Chinese University of Hong Kong, Hong Kong, China
Abstract  Fidelity measures the similarity between two states and is widely adapted by the condensed matter community as a probe of quantum phase transitions in many-body systems. Despite its success in witnessing quantum critical points, information about the fine structure of a quantum phase one can get from this approach is still limited. Here, we proposed a scheme called fidelity spectrum. By studying the fidelity spectrum, one can obtain information about the characteristics of a phase. In particular, we investigated the spectra in the one-dimensional transverse-field Ising model and the two-dimensional Kitaev model on a honeycomb lattice. It was found that the spectra have qualitative differences in the critical and non-critical regions of the two models. From the distributions of them, the dominating k modes in a particular phase could also be captured.
Keywords:  quantum phase transitions      quantum information      quantized spin models  
Received:  07 October 2015      Revised:  02 December 2015      Accepted manuscript online: 
PACS:  05.30.Rt (Quantum phase transitions)  
  64.70.Tg (Quantum phase transitions)  
  03.67.-a (Quantum information)  
  75.10.Jm (Quantized spin models, including quantum spin frustration)  
Fund: Project supported by the Earmarked Research Grant from the Research Grants Council of HKSAR, China (Grant No. CUHK 401212).
Corresponding Authors:  Wing Chi Yu     E-mail:

Cite this article: 

Wing Chi Yu, Shi-Jian Gu Fidelity spectrum: A tool to probe the property of a quantum phase 2016 Chin. Phys. B 25 030501

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