Direct mapping of the finite temperature phase diagram of strongly correlated quantum models.

@article{Zhou2009DirectMO,
  title={Direct mapping of the finite temperature phase diagram of strongly correlated quantum models.},
  author={Qi Zhou and Yasuyuki Kato and Naoki Kawashima and Nandini Trivedi},
  journal={Physical review letters},
  year={2009},
  volume={103 8},
  pages={
          085701
        }
}
We propose a general method for obtaining the finite temperature phase diagram of strongly correlated quantum models emulated by optical lattice experiments using only the density profile of atoms in the trap. We illustrate the procedure explicitly for the Bose-Hubbard model by using "exact" quantum Monte Carlo simulations in a trap with up to 10(6) bosons. We show that kinks in the local compressibility, arising from critical fluctuations, demarcate the boundaries between superfluid and normal… Expand

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