Mixed-state fidelity and quantum criticality at finite temperature
By Paolo Zanardi, Hai-Tao Quan, Xiaoguang Wang, Chang-pu Sun. 2006
147 citations recorded by the source corpus.
We 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 quasifree fermionic Hamiltonians. A numerical analysis is performed as well showing that the associated QPTs show their signatures in a finite range of temperatures.
Subfields: Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/710bdd1287a43c6340ea4984e92c138bb00410ea
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In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Holographic Complexity (2015, methodology): “In our model since we are dealing with a system with a fixed temperature (fixed l) the corresponding thermal fidelity should be given as follows [23]”
- Geometry of quantum phase transitions (2019, methodology): “The natural candidate for the definition of a metric is clearly the Bures metric, as the intuition built from QPTs in open systems would suggest [199, 214, 165, 214].”
- Decoherence, entanglement and irreversibility in quantum dynamical systems with few degrees of freedom (2008, background): “…(Manfredi and Hervieux, 2006, 2009; Pizorn et al., 2007) and cold atomic gases or Bose-Einstein condensates (Bodyfelt et al., 2007; Cucchietti; Manfredi and Hervieux, 2008), with some focus on quantum criticality (Alvarez et al., 2007; Ng et al., 2006; Quan et al., 2006; Zanardi et al., 2007).”