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Updated: Jul 7, 2026

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
Published on: June 7, 2018
Quantitative determination of the hubbard model phase diagram from optical lattice experiments by two-parameter
V L Campo1, K Capelle, J Quintanilla
1Centro Internacional de Física de Matéria Condensada, Universidade de Brasília, Caixa Postal 04513, 70919-970 Brasília, Brazil.
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.
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