4.6 Article

Strong-coupling expansion for ultracold bosons in an optical lattice at finite temperatures in the presence of superfluidity

Journal

PHYSICAL REVIEW A
Volume 88, Issue 5, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.88.053636

Keywords

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Funding

  1. MURI Grant from the Air Force Office of Scientific Research [FA9559-09-1-0617]
  2. Indo-U.S. Science and Technology Forum under Joint Center Grant [JC-18-2009]
  3. Department of Science and Technology of India

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We develop a strong-coupling (t << U) expansion technique for calculating the density profile for bosonic atoms trapped in an optical lattice with an overall harmonic trap at finite temperature and finite on-site interaction in the presence of superfluid regions. Our results match well with quantum Monte Carlo simulations at finite temperature. We also show that the superfluid order parameter never vanishes in the trap due to the proximity effect. Our calculations for the scaled density in the vacuum-to-superfluid transition agree well with the experimental data for appropriate temperatures. We present calculations for the entropy per particle as a function of temperature which can be used to calibrate the temperature in experiments. We also discuss issues connected with the demonstration of universal quantum critical scaling in the experiments.

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