Quantitative determination of the Hubbard model phase diagram from optical lattice experiments by two-parameter scaling

V. L. Campo, K. Capelle, J. Quintanilla, C. Hooley

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)

Abstract

We propose an experiment to obtain the phase diagram of the fermionic Hubbard model, for any dimensionality, using cold atoms in optical lattices. It is based on measuring the total energy for a sequence of trap profiles. It combines finite-size scaling with an additional "finite-curvature scaling" necessary to reach the homogeneous limit. We illustrate its viability in the 1D case, simulating experimental data in the Bethe-ansatz local-density approximation. Including experimental errors, the filling corresponding to the Mott transition can be determined with better than 3% accuracy.

Original languageEnglish
Pages (from-to)240403
Number of pages4
JournalPhysical Review Letters
Volume99
Issue number24
DOIs
Publication statusPublished - 14 Dec 2007

Keywords

  • BOSE-EINSTEIN CONDENSATION
  • GAS
  • TRANSITION
  • SUPERCONDUCTIVITY
  • MOLECULES
  • ATOMS

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