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arXiv:0905.2837 · Physical Review A

Momentum distribution of noncondensate particles near the superfluid-to-Mott-insulator transition of bosonic atoms in a uniform optical lattice

Daw-Wei Wang

Published Dec 9, 2009• 5 citations
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Abstract

We investigate the finite temperature momentum distribution of bosonic noncondensate particles inside a uniform three-dimensional optical lattice near the superfluid-to-Mott-insulator transition point, treating quantum fluctuations and thermal fluctuations on equal footing. We explicitly address the different momentum $(\mathbf{q})$ dependences of quasiparticle distribution resulted from thermal and quantum origins: the former scales as ${|\mathbf{q}|}^{\ensuremath{-}2}$ and hence is dominant in the small momentum region, while the later scales as ${|\mathbf{q}|}^{\ensuremath{-}1}$ and hence is dominant in the large momentum limit. Semianalytical results are derived and therefore can be applied to a further study of strongly interacting bosonic systems. Our results also agree with the scaling theory of a quantum $XY$ model near the transition point.

DOI
10.1103/physreva.80.063620

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