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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 |
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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.
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Received: 07 October 2015
Revised: 02 December 2015
Accepted manuscript online:
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PACS:
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05.30.Rt
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(Quantum phase transitions)
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64.70.Tg
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(Quantum phase transitions)
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03.67.-a
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(Quantum information)
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75.10.Jm
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(Quantized spin models, including quantum spin frustration)
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| 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: wcyu@phy.cuhk.edu.hk
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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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