Berlin 2005 – scientific programme

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DY: Dynamik und Statistische Physik

DY 13: Quantum Chaos

DY 13.16: Talk

Friday, March 4, 2005, 18:00–18:15, TU H2032

Spacetime structures of continuous time quantum walks — •Oliver Mülken and Alexander Blumen — Institut für Physik, Universität Freiburg

The propagation by continous time quantum walks (CTQW) on one-dimensional (1d) lattices shows structures in the transition probabilities between different sites reminicient of quantum carpets. For a system with periodic and reflecting boundary conditions, we calculate the transition probabilities for a CTQW by diagonalizing the Hamiltonian and by Bloch function ansatz. Both results coincide.