Multi-orbital and density-induced tunneling of bosons in optical lattices

Details Multi-orbital and density-induced tunneling of bosons in optical lattices Multi-orbital and density-induced tunneling of bosons in optical lattices

2011-08-15

arxiv.org/abs/1108.3013v2

New J. Phys. 14, 033021 (2012)

Physics

Condensed Matter

Quantum Gases

21 pages, 7 figures

Scientific paper

10.1088/1367-2630/14/3/033021

We show that multi-orbital and density-induced tunneling have a significant impact on the phase diagram of bosonic atoms in optical lattices. Off-site interactions lead to density-induced hopping, the so-called bond-charge interactions, which can be identified with an effective tunneling potential and can reach the same order of magnitude as conventional tunneling. In addition, interaction-induced higher-band processes also give rise to strongly modified tunneling, on-site and bond-charge interactions. We derive an extended occupation-dependent Hubbard model with multi-orbitally renormalized processes and compute the corresponding phase diagram. It substantially deviates from the single-band Bose-Hubbard model and predicts strong changes of the superfluid to Mott-insulator transition. In general, the presented beyond-Hubbard physics plays an essential role in bosonic lattice systems and has an observable influence on experiments with tunable interactions.

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