Extended molecules and geometric scattering resonances in optical lattices
arXiv:cond-mat/0304527 · doi:10.1103/PhysRevLett.92.080401
Abstract
We develop a theory describing neutral atoms scattering at low energies in an optical lattice. We show that for a repulsive interaction, as the microscopic scattering length increases, the effective scattering amplitude approaches a limiting value which depends only on the lattice parameters. In the case of attractive interaction a geometric resonance occurs before reaching this limit. Close to the resonance, the effective interaction becomes repulsive and supports a weakly bound state, which can extend over several lattice sites.
4 pages, 1 figure, RevTeX
References in corpus (14)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Regimes of quantum degeneracy in trapped 1D gases
- Bose-Einstein condensation in quasi2D trapped gases
- Interatomic collisions in a tightly confined Bose gas
- Measurement of interaction energy near a Feshbach resonance in a 6Li Fermi gas
- Three-body recombination of ultra-cold atoms to a weakly bound level
- Resonant control of elastic collisions in an optically trapped Fermi gas of atoms
- Resonance Superfluidity: Renormalization of Resonance Scattering Theory
- Self-consistent model of ultracold atomic collisions and Feshbach resonances in tight harmonic traps
- Decay of an ultracold fermionic lithium gas near a Feshbach resonance
- Magnetic field control of elastic scattering in a cold gas of fermionic lithium atoms
- Quantum State Control via Trap-induced Shape Resonance in Ultracold Atomic Collisions
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- Optically trapped quasi-two-dimensional Bose gases in random environment: quantum fluctuations and superfluid density
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- Confinement Induced Resonance with Weak Bare Interaction in a Quasi 3+0 Dimensional Ultracold Gas
- Multiple period states of the superfluid Fermi gas in an optical lattice
- Aspects of Superfluid Cold Atomic Gases in Optical Lattices
- Entanglement of two interacting bosons in a two dimensional isotropic harmonic trap
- Crystalline phase for one-dimensional ultra-cold atomic bosons
- Influence of the energy-band structure on ultracold reactive processes in lattices
- Resonant Scattering and Microscopic Model of Spinless Fermi Gases in One-dimensional Optical Lattices
- Confinement-Induced Resonance with Weak Background Interaction
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