Mott transition of fermionic atoms in a three-dimensional optical trap

Abstract

We study theoretically the Mott metal-insulator transition for a system of fermionic atoms confined in a three-dimensional optical lattice and a harmonic trap. We describe an inhomogeneous system of several thousand sites using an adaptation of dynamical mean field theory solved efficiently with the numerical renormalization group method. Above a critical value of the on-site interaction, a Mott-insulating phase appears in the system. We investigate signatures of the Mott phase in the density profile and in time-of-flight experiments.

4 pages and 5 figures

References in corpus (2)

• Local quantum criticality in confined fermions on optical lattices
• Signature of Mott-insulator transition with ultra-cold fermions in a one-dimensional optical lattice

Cited by in corpus (5)

• Antiferromagnetic Order of Strongly Interacting Fermions in a Trap: Real-Space Dynamical Mean-Field Analysis
• Kondo proximity effect: How does a metal penetrate into a Mott insulator?
• Supersolid state of ultracold fermions in an optical lattice
• Mott-Insulator Transition for Ultracold Fermions in Two-Dimensional Optical Lattices
• Ground State Properties of an Asymmetric Hubbard Model for Unbalanced Ultracold Fermionic Quantum Gases