2005/08/30 by L.-M. Duan, L. -M. Duan · 85 citations
Physics and Astronomy · #Atomic physics #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Fermion #Feshbach resonance #Hamiltonian (control theory) #Lattice (music) #Molecule #Optical lattice #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Resonance (particle physics) #Strong Light-Matter Interactions #Valence (chemistry) #cond-mat.other #quant-ph
paper · pdf · doi:10.1103/physrevlett.95.243202
published in Physical Review Letters 95(24), 243202 (American Physical Society) · 5 pages, 2 figures
arxiv created 2005/08/30 · openalex publication_date 2005/12/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We derive the Hamiltonian for cold fermionic atoms in an optical lattice across a broad Feshbach resonance, taking into account both multiband occupations and neighboring-site collisions. Under typical configurations, the resulting Hamiltonian can be dramatically simplified to an effective single-band model, which describes a new type of resonance between the local dressed molecules and the valence bond states of fermionic atoms at neighboring sites. On different sides of such a resonance, the effective Hamiltonian is reduced to either a t-J model for the fermionic atoms or an XXZ model for the dressed molecules. The parameters in these models are experimentally tunable in the full range, which allows for observation of various phase transitions.