One-dimensional Bose-Hubbard model with pure three-body interactions
arXiv:1307.6852 · doi:10.2478/s11534-014-0481-8
Abstract
The extended Bose-Hubbard model with pure three-body local interactions is studied using the Density Matrix Renormalization Group approach. The shapes of the first two insulating lobes are discussed, and the values of the critical tunneling for which the system undergoes the quantum phase transition from insulating to superfluid phase are predicted. It is shown that stability of insulating phases, in contrast to the standard Bose-Hubbard model, is enhanced for larger fillings. It is also shown that, on the tip of the boundary of the insulating phase, the model under consideration belongs to the Berenzinskii-Kosterlitz-Thouless universality class.
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- Non-standard Hubbard models in optical lattices: a review
- Criticality in the Bose-Hubbard model with three-body repulsion
- Three-body interaction effects on the ground state of one-dimensional anyons
- Mean-field approaches to the Bose-Hubbard model with three-body local interaction
- Quantum walks of interacting Mott insulator defects with three-body interactions
- Mott insulator phases of non-locally coupled bosons in bilayer optical superlattices
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