Reference data for phase diagrams of triangular and hexagonal bosonic lattices

Abstract

We investigate systems of bosonic particles at zero temperature in triangular and hexagonal optical lattice potentials in the framework of the Bose-Hubbard model. Employing the process-chain approach, we obtain accurate values for the boundaries between the Mott insulating phase and the superfluid phase. These results can serve as reference data for both other approximation schemes and upcoming experiments. Since arbitrary integer filling factors g are amenable to our technique, we are able to monitor the behavior of the critical hopping parameters with increasing filling. We also demonstrate that the g-dependence of these exact parameters is described almost perfectly by a scaling relation inferred from the mean-field approximation.

6 pages, 5 figures, accepted for publication in EPL

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• Chiral Bosonic Phases on the Haldane Honeycomb Lattice
• Quantum phases in tunable state-dependent hexagonal optical lattices
• Observation of brane parity order in programmable optical lattices
• Hypergeometric continuation of divergent perturbation series. I. Critical exponents of the Bose-Hubbard model
• Generalized Effective Potential Landau Theory for Bosonic Quadratic Superlattices
• Perturbative calculation of critical exponents for the Bose-Hubbard model
• Quantum phase transitions of ultra-cold Bose system in non-rectangular optical lattices
• Phase transition of ultracold atoms immersed in a BEC vortex lattice
• Localization of weakly interacting bosons in two dimensions: disorder vs lattice geometry effects
• Finite-temperature degenerate perturbation theory for bosons in optical lattices
• Visibility of ultra-cold Bose system in triangular optical lattices
• Quantum critical properties of Bose-Hubbard models
• Quantum Phase diagram and time-of-flight absorption pictures of ultracold Bose system in a square optical superlattice