Regensburg 2013 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 3: Correlated Electrons: Low-Dimensional Systems - Models 1
TT 3.2: Vortrag
Montag, 11. März 2013, 09:45–10:00, H9
Luttinger liquid universality in the time evolution after an interaction quench — Christoph Karrasch1, Jan Rentrop2, •Dirk Schuricht2, and Volker Meden2 — 1Department of Physics, University of California — 2Institute for Theory of Statistical Physics, RWTH Aachen University
We provide evidence that the relaxation dynamics of one-dimensional, metallic
Fermi systems resulting out of an abrupt amplitude change of the two-particle
interaction has aspects which are universal in the Luttinger liquid sense: The
leading long-time behavior of certain observables is described by universal
functions of the equilibrium Luttinger liquid parameter and the renormalized velocity. We analytically derive those functions for the Tomonaga-Luttinger model and verify our hypothesis of universality by considering spinless lattice fermions within the framework of the density matrix renormalization group.
[1] C. Karrasch et al., Phys. Rev. Lett. 109, 126406 (2012).