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TT: Fachverband Tiefe Temperaturen
TT 3: Correlated Electrons: Low-Dimensional Systems - Models 1
TT 3.3: Talk
Monday, March 11, 2013, 10:00–10:15, H9
Quench dynamics of the Tomonaga-Luttinger model with momentum-dependent interaction — •Jan Rentrop1,2, Dirk Schuricht1,2, and Volker Meden1,2 — 1Institut für Theorie der Statistischen Physik, RWTH Aachen University, Germany — 2JARA Fundamentals of Future Information Technology, 52056 Aachen, Germany
We study the relaxation dynamics of the one-dimensional Tomonaga-Luttinger model after an interaction quench, paying particular attention to the momentum dependence of the two-particle interaction. Several potentials of different analytical forms are investigated that all lead to universal Luttinger liquid (LL) physics in equilibrium. The steady-state fermionic momentum distribution shows universal behavior in the sense of the LL phenomenology. For generic regular potentials, the large time decay of the momentum distribution function toward the steady-state value is characterized by a power law with a universal exponent that depends only on the potential at zero momentum transfer. The commonly employed ad hoc procedure fails to give this exponent.