@article{ISI:000327933400013,
 abstract = {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.},
 article-number = {053636},
 author = {Gupta, Manjari and Krishnamurthy, H. R. and Freericks, J. K.},
 doi = {10.1103/PhysRevA.88.053636},
 eissn = {1094-1622},
 issn = {1050-2947},
 journal = {PHYSICAL REVIEW A},
 month = {NOV 27},
 number = {5},
 orcid-numbers = {Freericks, James K/0000-0002-6232-9165},
 researcherid-numbers = {Freericks, James K/D-7502-2011},
 times-cited = {2},
 title = {Strong-coupling expansion for ultracold bosons in an optical lattice at
finite temperatures in the presence of superfluidity},
 unique-id = {ISI:000327933400013},
 volume = {88},
 year = {2013}
}