Signature of Mott-insulator transition with ultra-cold fermions in a one-dimensional optical lattice

Details Signature of Mott-insulator transition with ultra-cold fermions in a one-dimensional optical lattice Signature of Mott-insulator transition with ultra-cold fermions in a one-dimensional optical lattice

2004-10-18

arxiv.org/abs/cond-mat/0410433v2

Phys. Rev. Lett. 94, 136406 (2005)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.94.136406

Using the exact Bethe ansatz solution of the Hubbard model and Luttinger liquid theory, we investigate the density profiles and collective modes of one-dimensional ultra-cold fermions confined in an optical lattice with a harmonic trapping potential. We determine a generic phase diagram in terms of a characteristic filling factor and a dimensionless coupling constant. The collective oscillations of the atomic mass density, a technique that is commonly used in experiments, provide a signature of the quantum phase transition from the metallic phase to the Mott-insulator phase. A detailed experimental implementation is proposed.

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