Darmstadt 2008 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 40: Quantengase (Bosonen I)

Q 40.8: Vortrag

Donnerstag, 13. März 2008, 15:45–16:00, 1A

Quantum chaos limits DMRG efficiency — •Hannah Venzl¹, Florian Mintert¹, Andrew Daley², and Andreas Buchleitner¹ — ¹Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg, Germany — ²Institut für Theoretische Physik, Universität Innsbruck, Technikerstr. 25, 6020 Innsbruck, Austria

The spectrum of the Bose-Hubbard Hamiltonian exhibits quantum chaos for certain ranges of the system parameters. One possible way to probe the chaos transition in this system is by tuning the strength of an additional static force. Likewise, the efficiency of time-dependent Density Matrix Renormalization Group (t-DMRG) simulations of the system dynamics depends strongly on the applied static field. We probe the connections between this loss of efficiency and the underlying spectral structure.