Hamburg 2009 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 47: Quantengase: Gitter und Tunneln I
Q 47.6: Vortrag
Donnerstag, 5. März 2009, 15:15–15:30, Audi-A
Solitonic eigenstates of the chaotic Bose-Hubbard Hamiltonian — •Tobias Zech1, Hannah Venzl1, Bartłomiej Oleś2, Moritz Hiller1, Florian Mintert1, and Andreas Buchleitner1 — 1Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg, Germany — 2Marian Smoluchowski Institute of Physics and Mark Kac Complex Systems Research Center, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
The Bose-Hubbard Hamiltonian, that describes bosons in an optical lattice, exhibits quantum chaos [1] for comparable values of on-site and tunneling energies. We analyze the parametric level evolution as a function of an additional tilt of the lattice. Within the chaotic bulk of the spectrum we identify levels showing regular behavior, termed "solitonic eigenstates". Similar patterns are known in classical mechanics, where a mixed phase space contains regular islands that are embedded in the chaotic sea. We present a characterization of the solitonic states and construct systematically distinct manifolds of them.
[1] A. Buchleitner, A.R. Kolovsky, Phys. Rev. Lett. 91, 253002 (2003)