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

Abstract

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.

4 pages, 3 figures

References in corpus (3)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Local quantum criticality in confined fermions on optical lattices
• Single-atom density of states of an optical lattice

Cited by in corpus (16)

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• Phase diagram of a strongly interacting polarized Fermi gas in one dimension
• Interaction-controlled transport of an ultracold Fermi gas
• Mott transition of fermionic atoms in a three-dimensional optical trap
• Trapping and cooling fermionic atoms into the Mott and Néel states
• Luther-Emery Phase and Atomic-Density Waves in a Trapped Fermion Gas
• Multi-component strongly attractive Fermi gas: a color superconductor in a one-dimensional harmonic trap
• Real-time spin-charge separation in one-dimensional Fermi gases from generalized hydrodynamics
• Dynamical Functions of a 1D Correlated Quantum Liquid
• Quantitative determination of the Hubbard model phase diagram from optical lattice experiments by two-parameter scaling
• Interacting Fermi Gases in Disordered One-Dimensional Lattices
• Time of flight observables and the formation of Mott domains of fermions and bosons on optical lattices
• Phases of Bosons or Fermions in confined optical lattices
• Quantum critical behavior and thermodynamics of the repulsive one-dimensional Hubbard model in a magnetic field
• Mott-Insulator Transition for Ultracold Fermions in Two-Dimensional Optical Lattices
• Collective mode evidence of high-spin bosonization in a trapped one-dimensional atomic Fermi gas with tunable spin