Quantitative Determination of the Hubbard Model Phase Diagram from Optical Lattice Experiments by Two-Parameter Scaling

Journal Article · Fri Dec 14 00:00:00 EST 2007 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.99.240403· OSTI ID:21024555

Campo, Jr, V L ^[1]; Capelle, K ^[2]; Quintanilla, J ^[3]; Hooley, C ^[4]

---

1. Centro Internacional de Fisica de Materia Condensada, Universidade de Brasilia, Caixa Postal 04513, 70919-970 Brasilia (Brazil)
2. Departamento de Fisica e Informatica, Instituto de Fisica de Sao Carlos, Universidade de Sao Paulo, Caixa Postal 369, 13560-970 Sao Carlos, Sao Paulo (Brazil)
3. ISIS Facility, STFC Rutherford Appleton Laboratory, Harwell Science and Innovation Campus, Didcot OX11 0QX (United Kingdom)
4. School of Physics and Astronomy, University of St Andrews, North Haugh, St Andrews, Fife KY16 9SS (United Kingdom)

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.

• OSTI ID: 21024555
• Journal Information: Physical Review Letters, Vol. 99, Issue 24; Other Information: DOI: 10.1103/PhysRevLett.99.240403; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ACCURACY
APPROXIMATIONS
DENSITY
ERRORS
FERMIONS
HUBBARD MODEL
PHASE DIAGRAMS
SCALING
TRAPS