Three-body Interactions in one Dimension

TL;DR

This paper investigates the phase diagram of a one-dimensional lattice boson system with three-body interactions, revealing superfluid and solid phases, including unconventional charge-density-wave and bond order coexistence, through analytic and quantum Monte Carlo methods.

Contribution

It provides the first detailed analysis of three-body interactions in 1D lattice bosons, combining analytic techniques with extensive quantum Monte Carlo simulations.

Findings

Identification of superfluid and solid phases

Unconventional filling-dependent solid phases

Coexistence of charge-density-wave and bond orders

Abstract

We determine the phase-diagram of a one-dimensional system of hard-core lattice bosons interacting via repulsive three-body interactions by analytic methods and extensive quantum Monte-Carlo simulations. Such three-body interactions can be derived from a microscopic theory for polar molecules trapped in an optical lattice. Depending on the strength of the interactions and the particle density, we find superfluid and solid phases, the latter appearing at an unconventional filling of the lattice and displaying a coexistence of charge-density-wave and bond orders.