Trapping and cooling fermionic atoms into the Mott and Néel states

Abstract

We perform a theoretical study of a fermionic gas with two hyperfine states confined to an optical lattice. We derive a generic state diagram as a function of interaction strength, particle number, and confining potential. We discuss the central density, the double occupancy and their derivatives as probes for the Mott state, connecting our findings to the recent experiment of Jördens et al. Using entropic arguments we compare two different strategies to reach the antiferromagnetic state in the presence of a trapping potential.

4 pages, 4 figures. Published version

References in corpus (8)

• Many-Body Physics with Ultracold Gases
• Molecules of Fermionic Atoms in an Optical Lattice
• Local quantum criticality in confined fermions on optical lattices
• Antiferromagnetic Order of Strongly Interacting Fermions in a Trap: Real-Space Dynamical Mean-Field Analysis
• Mott transition of fermionic atoms in a three-dimensional optical trap
• Spatial correlations of trapped 1d bosons in an optical lattice
• Interaction-Induced Adiabatic Cooling for Antiferromagnetism in Optical Lattices
• Signature of Mott-insulator transition with ultra-cold fermions in a one-dimensional optical lattice

Cited by in corpus (4)

• Discerning Incompressible and Compressible Phases of Cold Atoms in Optical Lattices
• Dynamically Generated Double Occupancy as a Probe of Cold Atom Systems
• Probing quasi-particle states in strongly interacting atomic gases by momentum-resolved Raman photoemission spectroscopy
• Coherent pumping of a Mott insulator: Fermi golden rule versus Rabi oscillations