Two-channel Bose-Hubbard model of atoms at a Feshbach resonance

Abstract

Based on the analytic model of Feshbach resonances in harmonic traps described in Phys. Rev. A 83, 030701 (2011) a Bose-Hubbard model is introduced that provides an accurate description of two atoms in an optical lattice at a Feshbach resonance with only a small number of Bloch bands. The approach circumvents the problem that the eigenenergies in the presence of a delta-like coupling do not converge to the correct energies, if an uncorrelated basis is used. The predictions of the Bose-Hubbard model are compared to non-perturbative calculations for both the stationary states and the time-dependent wavefunction during an acceleration of the lattice potential. For this purpose, a square-well interaction potential is introduced, which allows for a realistic description of Feshbach resonances within non-perturbative single-channel calculations.

15 pages, 12 figures

References in corpus (16)

• Many-Body Physics with Ultracold Gases
• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Orbital superfluidity in the $P$-band of a bipartite optical square lattice
• Analytical solutions for the dynamics of two trapped interacting ultracold atoms
• Adiabatic association of ultracold molecules via magnetic field tunable interactions
• Coherent molecule formation in anharmonic potentials near confinement-induced resonances
• Feshbach-Einstein condensates
• Theoretical description of two ultracold atoms in finite 3D optical lattices using realistic interatomic interaction potentials
• Lattice Induced Resonances in One Dimensional Bosonic Systems
• BCS-BEC Crossover in Atomic Fermi Gases with a Narrow Resonance
• Microscopic model for Feshbach interacting fermions in an optical lattice with arbitrary scattering length and resonance width
• Controlled excitation and resonant acceleration of ultracold few-boson systems by driven interactions in a harmonic trap
• Feshbach resonances in a nonseparable trap
• Feshbach resonances of harmonically trapped atoms
• Quantum lattice solitons in ultracold bosons near Feshbach resonance
• Non-perturbative theoretical description of two atoms in an optical lattice with time-dependent perturbations

Cited by in corpus (3)

• Majorana corner modes with solitons in an attractive Hubbard-Hofstadter model of cold atom optical lattices
• Virial expansion of a harmonically trapped Fermi gas across a narrow Feshbach resonance
• Fermionic vs. bosonic two-site Hubbard models with a pair of interacting cold atoms