Mixed-state fidelity and quantum criticality at finite temperature

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dc.creatorZanardi, Paolo
dc.creatorQuan, H. T.
dc.creatorWang, Xiaoguang
dc.creatorSun, C. P.
dc.date2006-12-01
dc.date.accessioned2026-07-07T07:56:04Z
dc.date.available2026-07-07T07:56:04Z
dc.descriptionWe extend to finite temperature the fidelity approach to quantum phase transitions (QPTs). This is done by resorting to the notion of mixed-state fidelity that allows one to compare two density matrices corresponding to two different thermal states. By exploiting the same concept we also propose a finite-temperature generalization of the Loschmidt echo. Explicit analytical expressions of these quantities are given for a class of quasi-free fermionic Hamiltonians. A numerical analysis is performed as well showing that the associated QPTs show their signatures in a finite range of temperatures.
dc.description7 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0612008
dc.identifierhttp://arxiv.org/abs/quant-ph/0612008
dc.identifierPhys. Rev. A 75, 032109 (2007)
dc.identifierdoi:10.1103/PhysRevA.75.032109
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127176
dc.subjectQuantum Physics
dc.titleMixed-state fidelity and quantum criticality at finite temperature
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