FIDELITY APPROACH TO QUANTUM PHASE TRANSITIONS
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AbstractWe review the quantum fidelity approach to quantum phase transitions in a pedagogical manner. We try to relate all established but scattered results on the leading term of the fidelity into a systematic theoretical framework, which might provide an alternative paradigm for understanding quantum critical phenomena. The definition of the fidelity and the scaling behavior of its leading term, as well as their explicit applications to the one-dimensional transverse-field Ising model and the Lipkin-Meshkov-Glick model, are introduced at the graduate-student level. Besides, we survey also other types of fidelity approach, such as the fidelity per site, reduced fidelity, thermal-state fidelity, operator fidelity, etc; as well as relevant works on the fidelity approach to quantum phase transitions occurring in various many-body systems.
All Author(s) ListGu SJ
Journal nameInternational Journal of Modern Physics B
Year2010
Month9
Day20
Volume Number24
Issue Number23
PublisherWorld Scientific Publishing
Pages4371 - 4458
ISSN0217-9792
eISSN1793-6578
LanguagesEnglish-United Kingdom
KeywordsFidelity; fidelity susceptibility; quantum phase transitions
Web of Science Subject CategoriesPhysics; Physics, Applied; PHYSICS, APPLIED; Physics, Condensed Matter; PHYSICS, CONDENSED MATTER; Physics, Mathematical; PHYSICS, MATHEMATICAL

Last updated on 2021-18-01 at 23:58