Anderson Lattice Description of Photoassociation in an Optical Lattice

Abstract

We consider atomic mixtures of bosons and two-component fermions in an optical lattice potential. We show that if the bosons are in a Mott-insulator state with precisely one atom per lattice, the photoassociation of bosonic and fermionic atoms into heteronuclear fermionic molecules is described by the Anderson Lattice Model. We determine the ground state properties of an inhomogeneous version of that model in the strong atom-molecule coupling regime, including an additional harmonic trap potential. Various spatial structures arise from the interplay between the atom-molecule correlations and the confining potential. Perturbation theory with respect to the tunneling coupling between fermionic atoms shows that anti-ferromagnetic correlations develop around a spin-singlet core of fermionic atoms and molecules.

arXiv comment5 pages, 3 figures

References in corpus (19)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• The cold atom Hubbard toolbox
• Fermionic atoms in a 3D optical lattice: Observing Fermi-surfaces, dynamics and interactions
• Observation of Heteronuclear Feshbach Resonances in a Bose-Fermi Mixture
• Mott Domains of Bosons Confined on Optical Lattices
• Observation of Feshbach resonances between two different atomic species
• Molecules of Fermionic Atoms in an Optical Lattice
• Atomic Bose-Fermi mixtures in an optical lattice
• Creation of a molecular condensate by dynamically melting a Mott-insulator
• Creation of a dipolar superfluid in optical lattices
• Local quantum criticality in confined fermions on optical lattices
• Measurement of the Zero Crossing in a Feshbach Resonance of Fermionic 6-Li
• Ab initio calculation of the KRb dipole moments
• Quantum phases of atomic boson-fermion mixtures in optical lattices
• Inhomogeneous atomic Bose-Fermi mixtures in cubic lattices
• Quantum phase transitions in the Fermi-Bose Hubbard model
• Quantum phases in a resonantly-interacting Bose-Fermi mixture
• Phase Coherence in a Driven Double-Well System

Cited by in corpus (6)

• Quantum phase gate and controlled entanglement with polar molecules
• Cavity QED determination of atomic number statistics in optical lattices
• Cavity QED characterization of many-body atomic states in double-well potentials -- The role of dissipation
• Full counting statistics of heteronuclear molecules from Feshbach-assisted photo association
• Bell-type inequalities for cold heteronuclear molecules
• Dissociation dynamics of resonantly coupled bose-fermi mixtures in an optical lattice