Open Access
VOL. 19 | 2018 Fisher Metric for Diagonalizable Quadratic Hamiltonians and Application to Phase Transitions
Chapter Author(s) Tsvetan Vetsov, Radoslav Rashkov
Editor(s) Ivaïlo M. Mladenov, Akira Yoshioka
Geom. Integrability & Quantization, 2018: 225-233 (2018) DOI: 10.7546/giq-19-2018-225-233

Abstract

We derive the extended entanglement entropy and the Fisher information metric in the case of quantum models, described by time-independent diagonal quadratic Hamiltonians. Our research is conducted within the framework of Thermo field dynamics. We also study the properties of the Fisher metric invariants to identify the phase structure of the quasi-particle systems in equilibrium.

Information

Published: 1 January 2018
First available in Project Euclid: 23 December 2017

MathSciNet: MR3586171

Digital Object Identifier: 10.7546/giq-19-2018-225-233

Rights: Copyright © 2018 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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