Criterion for bosonic superfluidity in an optical lattice

Details Criterion for bosonic superfluidity in an optical lattice Criterion for bosonic superfluidity in an optical lattice

2006-09-27

arxiv.org/abs/cond-mat/0609685v2

Physical Review Letters, 98, 180404 (2007)

Physics

Condensed Matter

Other Condensed Matter

4 pages, 2 figures; published version

Scientific paper

10.1103/PhysRevLett.98.180404

We show that the current method of determining superfluidity in optical lattices based on a visibly sharp bosonic momentum distribution $n({\bf k})$ can be misleading, for even a normal Bose gas can have a similarly sharp $n({\bf k})$. We show that superfluidity in a homogeneous system can be detected from the so-called visibility $(v)$ of $n({\bf k})$ $-$ that $v$ must be 1 within $O(N^{-2/3})$, where $N$ is the number of bosons. We also show that the T=0 visibility of trapped lattice bosons is far higher than what is obtained in some current experiments, suggesting strong temperature effects and that these states can be normal. These normal states allow one to explore the physics in the quantum critical region.

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