Anomalous pairing of bosons: Effect of multi body interactions in optical lattice

Abstract

An interesting first order type phase transition between Mott lobes has been reported in Phys. Rev. Lett. 109, 135302 (2012) for a two-dimensional Bose-Hubbard model in the presence of attractive three-body interaction. We re-visit the scenario in a system of ultracold bosons in a one-dimensional optical lattice using the density matrix renormalization group method and show that an unconventional pairing of particles occurs due to the competing two-body repulsive and three-body attractive interactions. This leads to a pair superfluid phase sandwiched between the Mott insulator lobes corresponding to densities $\rho =1$ and $\rho =3$ in the strongly interacting regime. We further extend our analysis to a two dimensional Bose-Hubbard model using the self consistent cluster-mean-field theory approach and confirm that the unconventional pair superfluid phase stabilizes in the region between the Mott lobes in contrast to the direct first order jump as predicted before. In the end we establish connection to the most general Bose-Hubbard model and analyse the fate of the pair superfluid phase in presence of an external trapping potential.

5 pages, 6 figures

References in corpus (12)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Repulsively bound atom pairs in an optical lattice
• Strongly Correlated Quantum Walks in Optical Lattices
• Atomic three-body loss as a dynamical three-body interaction
• Quantum gas microscopy with spin, atom-number and multi-layer readout
• Pair Superfluidity of Three-Body Constrained Bosons in Two Dimensions
• Mott-Hubbard Transition of Bosons in Optical Lattices with Three-body Interactions
• Three body on-site interactions in ultracold bosonic atoms in optical lattices and superlattices
• Elastic Multi-Body Interactions on a Lattice
• Polar molecules in frustrated triangular ladders
• NOON States via Quantum Walk of Bound Particles

Cited by in corpus (9)

• Quantum phases of tilted dipolar bosons in two-dimensional optical lattice
• Two-body repulsive bound pairs in multi-body interacting Bose-Hubbard model
• Symmetry-Enriched Criticality in a Coupled Spin-Ladder
• Two-leg ladder Bose Hubbard models with staggered fluxes
• Quantum walks of interacting Mott insulator defects with three-body interactions
• Emergent photon pair propagation in circuit QED with superconducting processors
• Quantum phases of constrained bosons on a two-leg Bose-Hubbard ladder
• Exotic quantum statistics and thermodynamics from a number-conserving theory of Majorana fermions
• Formation of paired phases of bosons and their excitations in a square lattice