Effects of long range hopping in the Bose-Hubbard model
arXiv:1810.02631 · doi:10.1103/PhysRevA.99.013618
Abstract
We investigate the effects of an extended Bose-Hubbard model with a long range hopping term on the Mott insulator-superfluid quantum phase transition. We consider the effects of a power law decaying hopping term and show that the Mott phase is shrinked in the parameters' space. We provide an exact solution for one dimensional lattices and then two approximations for higher dimensions, each one valid in a specific range of the power law exponent: a continuum approximation and a discrete one. Finally, we extend these results to a more realistic situation, where the long range hopping term is made by a power law factor and a screening exponential term and study the main effects on the Mott lobes.
arXiv comment5 pages, 3 figures
References in corpus (21)
- Many-Body Physics with Ultracold Gases
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- Classical critical behavior of spin models with long-range interactions
- Mott insulator to superfluid transition in the Bose-Hubbard model: a strong-coupling approach
- Phase diagram of the extended Bose Hubbard model
- Long-range interactions and non-extensivity in ferromagnetic spin models
- Ultracold bosons with short-range interaction in regular optical lattices
- Extended Bose Hubbard model of interacting bosonic atoms in optical lattices: from superfluidity to density waves
- Localization properties of a one-dimensional tight-binding model with non-random long-range inter-site interactions
- Characterization of Mott-insulating and superfluid phases in the one-dimensional Bose--Hubbard model
- Exact solution of the Bose-Hubbard model on the Bethe lattice
- Extended Bose-Hubbard Model with dipolar and contact interactions
- Effective Action Approach for Quantum Phase Transitions in Bosonic Lattices
- Effects of long-range hopping and interactions on quantum walk in ordered and disordered lattices
- The effect of anisotropy of long-range hopping on localization in three-dimensional lattices
- Phase diagram of the Bose-Hubbard Model on Complex Networks
- Two-leg ladder Bose Hubbard models with staggered fluxes
- Properties of the Superfluid in the Disordered Bose-Hubbard Model
- Disordered Supersolids in the Extended Bose-Hubbard Model
- Spin-1 Bose Hubbard model with nearest neighbour extended interaction