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Criterion for bosonic superfluidity in an optical lattice.

Roberto B Diener1, Qi Zhou, Hui Zhai

  • 1Department of Physics, The Ohio State University, Columbus, Ohio 43210, USA.

Physical Review Letters
|May 16, 2007
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A sharp bosonic momentum distribution (n(k)) may not indicate superfluidity. True superfluidity detection requires visibility (v) to approach 1, revealing normal states for quantum critical region physics.

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Area of Science:

  • Quantum physics
  • Atomic physics
  • Condensed matter physics

Background:

  • Superfluidity in Bose-Einstein condensates is typically identified by a sharp bosonic momentum distribution, n(k).
  • Existing methods may misinterpret normal Bose gas states as superfluid due to similar n(k) characteristics.

Purpose of the Study:

  • To critically evaluate the reliability of using a sharp bosonic momentum distribution n(k) for detecting superfluidity.
  • To establish a more robust criterion for identifying superfluidity in optical lattices.
  • To investigate the behavior of trapped lattice bosons and their relation to temperature effects and quantum criticality.

Main Methods:

  • Analysis of bosonic momentum distribution n(k) and its visibility (v).
  • Theoretical examination of superfluidity criteria in homogeneous and trapped Bose gases.
  • Comparison of theoretical predictions with experimental observations.

Main Results:

  • A sharp n(k) alone is an insufficient indicator of superfluidity, as normal Bose gases can exhibit similar distributions.
  • Superfluidity in homogeneous systems is reliably detected when visibility (v) approaches 1 (within O(N(-2/3))).
  • The T=0 visibility of trapped lattice bosons is significantly higher than currently reported in experiments, indicating substantial temperature effects and the presence of normal states.

Conclusions:

  • The standard method for detecting superfluidity in optical lattices is potentially misleading.
  • A visibility criterion (v approaching 1) provides a more accurate detection of superfluidity.
  • Observed high visibility in trapped bosons suggests normal states that are crucial for exploring quantum critical phenomena.