First order phase transitions in optical lattices with tunable three-body onsite interaction

Abstract

We study the two-dimensional Bose-Hubbard model in the presence of a three-body interaction term, both at a mean field level and via quantum Monte Carlo simulations. The three-body term is tuned by coupling the triply occupied states to a trapped universal trimer. We find that, for sufficiently attractive three-body interaction the n = 2 Mott lobe disappears and the system displays first order phase transitions separating the n = 1 from the n = 3 lobes, and the n = 1 and n = 3 Mott insulator from the superfluid. We have also analyzed the effect of finite temperature and found that transitions are still of first order at temperatures T\simJ where J is the hopping matrix element.

introduction slightly changed, modified figures

References in corpus (11)

• Many-Body Physics with Ultracold Gases
• Bose-Fermi Mixtures in a Three-dimensional Optical Lattice
• Localization of bosonic atoms by fermionic impurities in a 3d optical lattice
• Atomic three-body loss as a dynamical three-body interaction
• Evidence for Universal Four-Body States Tied to an Efimov Trimer
• Universal Properties of the Four-Body System with Large Scattering Length
• Radio Frequency Association of Efimov Trimers
• Superfluidity of Interacting Bosonic Mixtures in Optical Lattices
• Boson Mott insulators at finite temperatures
• Precision Measurements on a Tunable Mott Insulator of Ultracold Atoms
• Exact diagonalization of the one dimensional Bose-Hubbard model with local 3-body interactions

Cited by in corpus (27)

• Quantum trajectories and open many-body quantum systems
• Non-standard Hubbard models in optical lattices: a review
• Engineering tunable local loss in a synthetic lattice of momentum states
• MCTDH-X: The multiconfigurational time-dependent Hartree method for indistinguishable particles software
• Effective three-body interactions via photon-assisted tunneling in an optical lattice
• Topological charge pumping of bound bosonic pairs
• Geometric Resonances in Bose-Einstein Condensates with Two- and Three-Body Interactions
• Quantum phases of tilted dipolar bosons in two-dimensional optical lattice
• Self-trapped quantum balls in binary Bose-Einstein condensates
• Anyons from Three-Body Hard-Core Interactions in One Dimension
• Two-body repulsive bound pairs in multi-body interacting Bose-Hubbard model
• Criticality in the Bose-Hubbard model with three-body repulsion
• Coherence of the Borromean three-body Förster resonances in Rydberg atoms
• One-dimensional Bose-Hubbard model with pure three-body interactions
• Anomalous pairing of bosons: Effect of multi body interactions in optical lattice
• Mott lobes of the $S=1$ Bose-Hubbard model with three-body interactions
• Quantum phases of dipolar bosons in multilayer optical lattice
• Three-body constrained bosons in double-well optical lattice
• Quantum walks of interacting Mott insulator defects with three-body interactions
• Trimer superfluid induced by photoassocation on the state-dependent optical lattice
• Exploring Many-body Interactions Through Quantum Fisher Information
• Calculations of long-range three-body interactions for Li($2{}^{2}S$)-Li($2{}^{2}S$)-Li($2{}^{2}P$)
• Quantum Vortex States in Bose Hubbard Model With Rotation
• Discrete Breather and Soliton-Mode Collective Excitations in Bose-Einstein Condensates in a Deep Optical Lattice with Tunable Three-body Interactions
• 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
• Effects of an attractive three body interaction on a spin-1 Bose Hubbard model