Criterion for bosonic superfluidity in an optical lattice

Abstract

We show that the current method of determining superfluidity in optical lattices based on a visibly sharp bosonic momentum distribution $n(\mathbf{k})$ can be misleading, for even a normal Bose gas can have a similarly sharp $n(\mathbf{k})$. We show that superfluidity in a homogeneous system can be detected from the so-called visibility $(v)$ of $n(\mathbf{k})$ $-$ 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.

4 pages, 2 figures; published version

References in corpus (7)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Observation of resonance condensation of fermionic atom pairs
• Bose-Fermi Mixtures in a Three-dimensional Optical Lattice
• Localization of bosonic atoms by fermionic impurities in a 3d optical lattice
• Expansion of a coherent array of Bose-Einstein condensates
• Phase coherence of an atomic Mott insulator
• Interference pattern and visibility of a Mott insulator

Cited by in corpus (43)

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• Dynamical Mean Field Theory for the Bose-Hubbard Model
• Criticality in Trapped Atomic Systems
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• Quantum quench dynamics of the Bose-Hubbard model at finite temperatures
• On atomic analogue of Landau quantization
• Momentum Resolved Optical Lattice Modulation Spectroscopy for Bose Hubbard Model
• Adiabatic Loading of Cold Bosons in Three-Dimensional Optical Lattices and Superfluid-Normal Phase Transition
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