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Q: Fachverband Quantenoptik und Photonik
Q 7: Quantengase: Bosonen im Gitter I
Q 7.6: Talk
Monday, March 2, 2009, 15:15–15:30, VMP 6 HS-A
Quantum chaos and entanglement in the Bose-Hubbard model — •Michael Lubasch1 and Sandro Wimberger1, 2 — 1Institute for Theoretical Physics, Philosophenweg 19, 69120 Heidelberg — 2Graduate School of Fundamental Physics, Albert-Ueberle Str. 3-5, 69120 Heidelberg
It was first shown by Kolovsky and Buchleitner in [Europhys. Lett. 68 (2004), 632-638] that the spectral statistics of the Bose-Hubbard model can exhibit quantum chaos. In their work they investigated the distribution of energy level spacings in the spectrum. We derive a reliable method to differentiate between the regular and the chaotic regime via complete detection of avoided-crossings. These are energy levels that come very close to each other but never touch and their presence is characteristic for the chaotic regime.
Quantum entanglement also allows to separate the two regimes. However for a correct description the indistinguishability of the bosons and a superselection rule for constant global particle number have to be taken into account.