Quantum chaos in the Bose-Hubbard modelA. R. Kolovsky1, 2 and A. Buchleitner1
1 Max-Planck-Institut für Physik Komplexer Systeme - D-01187 Dresden, Germany
2 Kirensky Institute of Physics - 660036 Krasnoyarsk, Russia
received 15 June 2004; accepted in final form 13 October 2004
published online 5 November 2004
We present a numerical study of the spectral properties of the 1D Bose-Hubbard model. Unlike the 1D Hubbard model for fermions, this system is found to be non-integrable, and exhibits Wigner-Dyson spectral statistics under suitable conditions.
05.45.Mt - Quantum chaos; semiclassical methods.
05.30.Jp - Boson systems.
03.75.Kk - Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow.
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