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In their Letter, Zhou, Kato, Kawashima, and Trivedi claim thatfinite-temperature critical points of strongly correlated quantum modelsemulated by optical lattice experiments can generically be deduced from kinksin the derivative of the density profile of atoms in the trap with respect tothe external potential, $\kappa = -dn(r)/dV(r)$. In this comment we demonstratethat the authors failed to achieve their goal: to show that under realisticexperimental conditions critical densities $n_c(T,U)$ can be extracted fromdensity profiles with controllable accuracy.

physical review letters

Comment on "Direct Mapping of the Finite Temperature Phase Diagram of  Strongly Correlated Quantum Models" by Q. Zhou, Y. Kato, N. Kawashima, and N.  Trivedi, Phys. Rev. Lett. 103, 085701 (2009)