Phys. Rev. Lett. 99, 240403 (2007) [4 pages]Quantitative Determination of the Hubbard Model Phase Diagram from Optical Lattice Experiments by Two-Parameter ScalingReceived 6 June 2007; published 13 December 2007 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. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.99.240403
DOI:
10.1103/PhysRevLett.99.240403
PACS:
05.30.Fk, 03.65.Sq, 03.75.Ss, 71.10.Fd
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.