Berlin 2005 – wissenschaftliches Programm

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TT: Tiefe Temperaturen

TT 25: Correlated Electrons - Low-dimensional Systems: Models

TT 25.1: Vortrag

Dienstag, 8. März 2005, 10:00–10:15, TU H2053

Adaptive time-dependent DMRG: simulating the dynamics of strongly correlated systems — •Ulrich Schollwöck — Institut für Theoretische Physik C, RWTH Aachen, 52056 Aachen

The integration of concepts from quantum information theory has recently allowed the extension of DMRG to the high-precision calculation of the time-evolution of one-dimensional strongly correlated quantum systems at low algorithmic cost (Daley, Kollath, Schollwoeck, Vidal and White, Feiguin). The key idea is that the reduced Hilbert space generated by DMRG does not remain static in time or is enlarged at substantial computational cost, but adapts itself optimally to the time-evolving quantum state. I want to present the potential of this method for the calculation of far-from-equilibrium time-evolutions of quantum spin chains as well as the time-evolution of electronic models.