Dynamical phase transitions at finite temperature from fidelity and interferometric Loschmidt echo induced metrics
Name
PhysRevB.97.094110.pdf
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Author(s)
Mera, Bruno
Vlachou, Chrysoula
Paunković, Nikola
Vieira, Vítor R.
Viyuela Garcia, Oscar
Date Issued
March 2018
Journal
Physical Review B
Publisher
American Physical Society
Citation
Mera, Bruno et al. "Dynamical phase transitions at finite temperature from fidelity and interferometric Loschmidt echo induced metrics." Physical Review B 97, 9 (March 2018): 094110 © 2018 American Physical Society
Version
Final published version
Abstract
We study finite-temperature dynamical quantum phase transitions (DQPTs) by means of the fidelity and the interferometric Loschmidt echo (LE) induced metrics. We analyze the associated dynamical susceptibilities (Riemannian metrics), and derive analytic expressions for the case of two-band Hamiltonians. At zero temperature, the two quantities are identical, nevertheless, at finite temperatures they behave very differently. Using the fidelity LE, the zero-temperature DQPTs are gradually washed away with temperature, while the interferometric counterpart exhibits finite-temperature phase transitions. We analyze the physical differences between the two finite-temperature LE generalizations, and argue that, while the interferometric one is more sensitive and can therefore provide more information when applied to genuine quantum (microscopic) systems, when analyzing many-body macroscopic systems, the fidelity-based counterpart is a more suitable quantity to study. Finally, we apply the previous results to two representative models of topological insulators in one and two dimensions.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.97.094110
