Tunnelling couplings in discrete lattices, single particle band structure and eigenstates of interacting atom pairs
arXiv:cond-mat/0703573 · doi:10.1103/PhysRevA.76.023607
Abstract
By adjusting the tunnelling couplings over longer than nearest neighbor distances it is possible in discrete lattice models to reproduce the properties of the lowest energy band of a real, continuous periodic potential. We propose to include such terms in problems with interacting particles and we show that they have significant consequences for scattering and bound states of atom pairs in periodic potentials.
7 pages, 6 figures
References in corpus (13)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
- The cold atom Hubbard toolbox
- Repulsively bound atom pairs in an optical lattice
- Quantum phases in an optical lattice
- Landau and Dynamical Instabilities of the Superflow of Bose-Einstein Condensates in Optical Lattices
- Observation of dynamical instability for a Bose-Einstein condensate in a moving 1D optical lattice
- Atomic Bose and Anderson glasses in optical lattices
- Extended Bose Hubbard model of interacting bosonic atoms in optical lattices: from superfluidity to density waves
- Stability of gap solitons in a Bose-Einstein condensate
- Phase-matched four wave mixing and quantum beam splitting of matter waves in a periodic potential
- Extended Bose-Hubbard model with incompressible states at fractional numbers
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