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arXiv:1002.3194 · New Trends in Quantum Integrable Systems

QUANTUM SPIN CHAINS AT FINITE TEMPERATURES

Frank Göhmann, Junji Suzuki

Published Oct 1, 2010• 22 citations
arXivHTMLPDF

Abstract

This is a pedagogical review on recent progress in the exact evaluation of physical quantities in interacting quantum systems at finite temperatures. 1D quantum spin chains are discussed in detail as typical examples.
DOI
10.1142/9789814324373_0005

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We review the main results and ideas showing that quantum correlations at finite temperatures (T), in particular quantum discord, are useful tools in characterizing quantum phase transitions (QPT) that only occur, in principle, at the unattainable absolute zero temperature. We first review some interesting results about the behavior of thermal quantum discord for small spin-1/2 chains and show that they already give us important hints of the infinite chain behavior. We then study in detail and in the thermodynamic limit (infinite chains) the thermal quantum correlations for the XXZ and XY models, where one can clearly appreciate that the behavior of thermal quantum discord at finite T is a useful tool to spotlight the critical point of a QPT.