Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-04-27
Physical Review A 72, 063609 (2005)
Physics
Condensed Matter
Statistical Mechanics
8 pages, 7 figures
Scientific paper
10.1103/PhysRevA.72.063609
The Mott insulating phase of a one-dimensional bosonic gas trapped in optical lattices is described by a Bose-Hubbard model. A continuous unitary transformation is used to map this model onto an effective model conserving the number of elementary excitations. We obtain quantitative results for the kinetics and for the spectral weights of the low-energy excitations for a broad range of parameters in the insulating phase. By these results, recent Bragg spectroscopy experiments are explained. Evidence for a significant temperature of the order of the microscopic energy scales is found.
Reischl Alexander
Schmidt Kai P.
Uhrig Götz S.
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