Mean-field approaches to the Bose-Hubbard model with three-body local interaction

Abstract

The zero temperature properties of the generalized Bose-Hubbard model including three-body interactions are studied on a mean-field level. We obtain analytical results using the so-called perturbative mean-field method and more detailed numerical results using the Gutzwiller product state variational Ansatz. These two approaches yield equivalent results which compare well on a qualitative level with recent exact results obtained in the literature.

arXiv commentProceedings of the CEWQO 2013

References in corpus (11)

• 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
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• The physics of dipolar bosonic quantum gases
• Dipolar Molecules in Optical Lattices
• Mott-Hubbard Transition of Bosons in Optical Lattices with Three-body Interactions
• Exact diagonalization of the one dimensional Bose-Hubbard model with local 3-body interactions
• Multi-band and nonlinear hopping corrections to the 3D Bose-Fermi Hubbard model
• Three body on-site interactions in ultracold bosonic atoms in optical lattices and superlattices
• One-dimensional Bose-Hubbard model with pure three-body interactions

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• Quantum walks of interacting Mott insulator defects with three-body interactions
• Exploring Many-body Interactions Through Quantum Fisher Information