Darmstadt 2008 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 40: Quantengase (Bosonen I)
Q 40.8: Talk
Thursday, March 13, 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.