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Q: Fachverband Quantenoptik und Photonik
Q 3: Quantengase: Dynamik in Gittern
Q 3.4: Vortrag
Montag, 2. März 2009, 11:30–11:45, VMP 6 HS-A
Dynamical properties of solitonic eigenstates of the Bose-Hubbard Hamiltonian — •Hannah Venzl1, Tobias Zech1, 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
We show the emergence of solitonic eigenstates in the Bose-Hubbard Hamiltonian with an additional tilt in a regime where the spectrum obeys chaotic level statistics. Those states show robust behavior in the sense that they couple weakly to the chaotic background. By driving the system with a time-dependent tilt we investigate the dynamical behavior of those solitonic eigenstates and show that their stability is strongly enhanced as compared to states from the chaotic background. We discuss the analogy of the solitonic submanifold to regular islands embedded in a chaotic sea.