Berlin 2005 – scientific programme
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TT: Tiefe Temperaturen
TT 25: Correlated Electrons - Low-dimensional Systems: Models
TT 25.2: Talk
Tuesday, March 8, 2005, 10:15–10:30, TU H2053
Adaptive time-evolution with DMRG for low dimensional correlated systems — •Salvatore Manmana1,2, Alejandro Muramatsu1, and Reinhard Noack2 — 1Institut für Theoretische Physik III, Universität Stuttgart, Pfaffenwaldring 57/V, 70550 Stuttgart — 2AG Vielteilchennumerik, Fachbereich Physik, Philipps-Universität Marburg, 35032 Marburg
Only little is known about the physics of time-dependent problems in the field of strongly correlated quantum systems due to the lack of effective controlled approaches. Recently there has been progress in this direction for one dimensional systems. We present further developments in the construction of numerical schemes, in particular using exact diagonalization techniques and the density matrix renormalization group method (DMRG), which can be applied to correlated low-dimensional systems. Results for the collapse and revival of the metallic state in systems of spinless fermions with nearest-neighbour-interaction are discussed and the accuracy of these methods is compared with exact results.