Dresden 2006 – wissenschaftliches Programm
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TT: Tiefe Temperaturen
TT 25: Correlated Electrons - Poster Session
TT 25.40: Poster
Mittwoch, 29. März 2006, 14:30–18:30, P1
Time Evolution of a Luttinger Liquid through a correlated insulator — •Salvatore R. Manmana1,2, Alejandro Muramatsu1, and Reinhard M. Noack2 — 1Institut f. Theoretische Physik III, Universität Stuttgart, Germany — 2AG Vielteilchennumerik, Fachbereich Physik, Philipps-Universität Marburg, Germany
We investigate the time evolution of a system of spinless fermions on a one-dimensional lattice with nearest-neighbor repulsion V and nearest-neighbor hopping t at half filling. Starting from the ground state of the Luttinger liquid phase, we study the time evolution after the system is perturbed by suddenly increasing the interaction to a value associated with an insulating ground state. Using a variant of the time-dependent density-matrix renormalization group method that approximates the time-evolution operator within a Krylov subspace, we calculate the full time evolution of the system. In the atomic limit, t=0, the density and the density-density correlation function are time-independent, while the momentum distribution ⟨ nk ⟩ shows behavior characteristic of periodic collapse and revival of the initial Luttinger liquid state. Therefore, the density-density correlations and one-particle propagators are no longer connected by a single anomalous dimension as in the equilibrium case. For parameter values away from this classical limit, we find relaxation phenomena when the perturbed interaction is near the quantum critical point. For intermediate values new nonequilibrium states are found.