Effective multi-body induced tunneling and interactions in the Bose-Hubbard model of the lowest dressed band of an optical lattice
arXiv:1108.6047 · doi:10.1103/PhysRevA.86.023617
Abstract
We construct the effective lowest-band Bose-Hubbard model incorporating interaction-induced on-site correlations. The model is based on ladder operators for local correlated states, which deviate from the usual Wannier creation and annihilation, allowing for a systematic construction of the most appropriate single-band low-energy description in the form of the extended Bose-Hubbard model. A formulation of this model in terms of ladder operators not only naturally contains the previously found effective multibody interactions, but also contains multibody-induced single-particle tunneling, pair tunneling, and nearest-neighbor interaction processes of higher orders. An alternative description of the same model can be formulated in terms of occupation-dependent Bose-Hubbard parameters. These multiparticle effects can be enhanced using Feshbach resonances, leading to corrections which are well within experimental reach and of significance to the phase diagram of ultracold bosonic atoms in an optical lattice. We analyze the energy-reduction mechanism of interacting atoms on a local lattice site and show that this cannot be explained only by a spatial broadening of Wannier orbitals on a single-particle level, which neglects correlations.
16 pages, 6 figures
References in corpus (14)
- Many-Body Physics with Ultracold Gases
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Localization of bosonic atoms by fermionic impurities in a 3d optical lattice
- Role of interactions in 87Rb-40K Bose-Fermi mixtures in a 3d optical lattice
- Orbital excitation blockade and algorithmic cooling in quantum gases
- Precision Measurements on a Tunable Mott Insulator of Ultracold Atoms
- Multi-orbital and density-induced tunneling of bosons in optical lattices
- Coherent Interaction of a Single Fermion with a Small Bosonic Field
- Self-Trapping of Bosons and Fermions in Optical Lattices
- Multi-band spectroscopy of ultracold fermions: Observation of reduced tunneling in attractive Bose-Fermi mixtures
- Bose-Hubbard model with occupation dependent parameters
- Do mixtures of bosonic and fermionic atoms adiabatically heat up in optical lattices?
- Effect of interactions on harmonically confined Bose-Fermi mixtures in optical lattices
- Loss of superfluidity by fermions in the boson Hubbard model on an optical lattice
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- Dipole-dipole interactions in optical lattices do not follow an inverse cube power law
- Accuracy of quantum simulators with ultracold dipolar molecules: a quantitative comparison between continuum and lattice descriptions
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- Effective three-body interactions for bosons in a double-well confinement
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- Trimer superfluid induced by photoassocation on the state-dependent optical lattice
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