Luttinger liquid properties of the steady state after a quantum quench

D. M. Kennes and V. Meden
Phys. Rev. B 88, 165131 – Published 21 October 2013

Abstract

We study the dynamics resulting from an abrupt change of the two-particle interaction in two models of closed one-dimensional Fermi systems: (a) the field theoretical Tomonaga-Luttinger model and (b) a microscopic lattice model. Using a nonperturbative approach which is controlled for small two-particle interactions, we are able to reach large times allowing us to access the properties of the steady state of the lattice model. Comparing those to the exact solution of the full dynamics in the Tomonaga-Luttinger model, we provide evidence for universal Luttinger liquid behavior.

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  • Received 22 April 2013

DOI:https://doi.org/10.1103/PhysRevB.88.165131

©2013 American Physical Society

Authors & Affiliations

D. M. Kennes and V. Meden

  • Institut für Theorie der Statistischen Physik, RWTH Aachen University and JARA—Fundamentals of Future Information Technology, 52056 Aachen, Germany

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Issue

Vol. 88, Iss. 16 — 15 October 2013

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