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Phys. Rev. A 72, 063609 (2005) [7 pages]

Temperature in one-dimensional bosonic Mott insulators

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A. Reischl1, K. P. Schmidt2,*, and G. S. Uhrig3
1Institut für Theoretische Physik, Universität zu Köln, Zülpicher Straße 77, D-50937 Köln, Germany
2Institute of Theoretical Physics, École Polytechnique Fédérale de Lausanne, CH 1015 Lausanne, Switzerland
3Theoretische Physik, Geb. E2.6, FR 7.1, Universität des Saarlandes, D-66123 Saarbrücken, Germany

Received 7 September 2005; published 9 December 2005

The Mott insulating phase of a one-dimensional bosonic gas trapped in an optical lattice 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.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.72.063609
DOI:
10.1103/PhysRevA.72.063609
PACS:
03.75.Hh, 05.30.Jp, 03.75.Kk, 03.75.Lm

*Electronic address: kaiphillip.schmidt@epfl.ch