Fidelity spectrum: A tool to probe the property of a quantum phase

doi:10.1088/1674-1056/25/3/030501

中国物理B ›› 2016, Vol. 25 ›› Issue (3): 30501-030501.doi: 10.1088/1674-1056/25/3/030501

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

收稿日期:2015-10-07 修回日期:2015-12-02 出版日期:2016-03-05 发布日期:2016-03-05
通讯作者: Wing Chi Yu E-mail:wcyu@phy.cuhk.edu.hk
基金资助:
Project supported by the Earmarked Research Grant from the Research Grants Council of HKSAR, China (Grant No. CUHK 401212).

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

Received:2015-10-07 Revised:2015-12-02 Online:2016-03-05 Published:2016-03-05
Contact: Wing Chi Yu E-mail:wcyu@phy.cuhk.edu.hk
Supported by:
Project supported by the Earmarked Research Grant from the Research Grants Council of HKSAR, China (Grant No. CUHK 401212).

摘要/Abstract

摘要： 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.

关键词: quantum phase transitions, quantum information, quantized spin models

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.

Key words: quantum phase transitions, quantum information, quantized spin models

中图分类号: (Quantum phase transitions)

05.30.Rt

64.70.Tg (Quantum phase transitions) 03.67.-a (Quantum information) 75.10.Jm (Quantized spin models, including quantum spin frustration)

Wing Chi Yu, Shi-Jian Gu. Fidelity spectrum: A tool to probe the property of a quantum phase[J]. 中国物理B, 2016, 25(3): 30501-030501.

Wing Chi Yu, Shi-Jian Gu. Fidelity spectrum: A tool to probe the property of a quantum phase[J]. Chin. Phys. B, 2016, 25(3): 30501-030501.

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Fidelity spectrum: A tool to probe the property of a quantum phase

Fidelity spectrum: A tool to probe the property of a quantum phase

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