Exact diagonalization of the one dimensional Bose-Hubbard model with local 3-body interactions

Abstract

In this Brief Report the extended Bose-Hubbard model with local two- and three-body interactions is studied by the exact diagonalization approach. The shapes of the first two insulating lobes are discussed and the values of the critical tunneling for which the insulating phase loses stability for repulsive and attractive three-body interactions are predicted.

5 pages, 5 figures

References in corpus (10)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Dynamic properties of the one-dimensional Bose-Hubbard model
• Dipolar Molecules in Optical Lattices
• Precision Measurements on a Tunable Mott Insulator of Ultracold Atoms
• Characterization of Mott-insulating and superfluid phases in the one-dimensional Bose--Hubbard model
• Bose-Hubbard model with occupation dependent parameters
• Mott-Hubbard Transition of Bosons in Optical Lattices with Three-body Interactions
• Solids and supersolids of three-body interacting polar molecules in an optical lattice

Cited by in corpus (35)

• Quantum trajectories and open many-body quantum systems
• Non-standard Hubbard models in optical lattices: a review
• One-dimensional mixtures of several ultracold atoms: a review
• Effective three-body interactions via photon-assisted tunneling in an optical lattice
• Dynamics of spin-1 bosons in an optical lattice: spin mixing, quantum phase revival spectroscopy and effective three-body interactions
• Geometric Resonances in Bose-Einstein Condensates with Two- and Three-Body Interactions
• First order phase transitions in optical lattices with tunable three-body onsite interaction
• Anyons from Three-Body Hard-Core Interactions in One Dimension
• Two-body repulsive bound pairs in multi-body interacting Bose-Hubbard model
• Effective three-body interactions for bosons in a double-well confinement
• Criticality in the Bose-Hubbard model with three-body repulsion
• One-dimensional Bose-Hubbard model with local three-body interactions
• Generation of atypical hopping and interactions by kinetic driving
• Liouvillian skin effects and fragmented condensates in an integrable dissipative Bose-Hubbard model
• Ground-state properties of dilute one-dimensional Bose gas with three-body repulsion
• Anomalous pairing of bosons: Effect of multi body interactions in optical lattice
• One-dimensional Bose-Hubbard model with pure three-body interactions
• Mean-field approaches to the Bose-Hubbard model with three-body local interaction
• Mott lobes of the $S=1$ Bose-Hubbard model with three-body interactions
• Quantum walks of interacting Mott insulator defects with three-body interactions
• Three-body interacting dipolar bosons and the fate of lattice supersolidity
• Quantum phase transition in a shallow one-dimensional optical lattice
• Exploring Many-body Interactions Through Quantum Fisher Information
• Superfluidity from correlations in driven boson systems
• Mott insulator phases of non-locally coupled bosons in bilayer optical superlattices
• Spin-1 Bose-Hubbard model with two- and three-body interactions
• Triplet Superfluidity on a triangular ladder with dipolar fermions
• Quantum Vortex States in Bose Hubbard Model With Rotation
• Exotic phase separation in one-dimensional hard-core boson system with two- and three-body interactions
• Renormalization of two-body interactions due to higher-body interactions of lattice bosons
• Quantum tomography of the superfluid-insulator transition for a mesoscopic atomtronic ring
• Convex-roof entanglement measures of density matrices block diagonal in disjoint subspaces for the study of thermal states
• Extended Bose-Hubbard Model on Small Grids: Exact Diagonalization and Monte Carlo Studies
• Mesoscopic superfluid to superconductor transition
• Emergent Phases in an Extended Bose-Hubbard Model with Three-body On-site Interaction