Journal Article

Quantum Transfer Matrix Approach to Dynamical Correlation Functions for the Transverse Ising Chain

Makoto Inoue

in Progress of Theoretical Physics

Published on behalf of The Physical Society of Japan

Volume 125, issue 3, pages 491-507
Published in print March 2011 | ISSN: 0033-068X
Published online March 2011 | e-ISSN: 1347-4081 | DOI: https://dx.doi.org/10.1143/PTP.125.491
Quantum Transfer Matrix Approach to Dynamical Correlation Functions for the Transverse Ising Chain

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The Quantum Transfer Matrix method based on the Suzuki-Trotter formulation is applied to dynamical problems. The autocorrelation functions of the Transverse Ising chain are derived by this method as an example. The Trotter-directional correlation functions are interpreted as a Matsubara's temperature Green function, so that the analytic continuation of the Green functions yields the desired autocorrelation functions.

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Subjects: Condensed Matter Physics ; Classical Mechanics

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