A quantum Monte Carlo study of the long-ranged site-diluted XXZ-model as realized by polar molecules

Abstract

Motivated by recent experiments with ultracold polar molecules trapped in deep optical lattices, we study ground-state properties of the long-ranged XXZ model with and without off-diagonal disorder. We map the spin model to a hard-core Bose-Hubbard model and perform large-scale Monte Carlo simulations by the Worm algorithm. In absence of disorder, we find that, for large enough interaction, three phases are stabilized: a superfluid phase, a checkerboard solid phase, only present at density n = 0.5, and a checkerboard supersolid phase which can be reached by doping the CB phase away from half-filling. In the presence of off-diagonal disorder and at fixed density n=0.5, we find that, unlike what observed in the case of short-range hopping, localization never occurs even for site dilution larger than the percolation threshold, and off-diagonal order, though strongly suppressed, persists for arbitrarily large values of site-dilution.

6 pages, 6 figures

References in corpus (6)

• Strongly interacting bosons in a disordered optical lattice
• Strongly interacting ultracold polar molecules
• Duality in power-law localization in disordered one-dimensional systems
• Quantum glass phases in the disordered Bose-Hubbard model
• Quantum critical behavior of the superfluid-Mott glass transition
• Equilibrium phases of two-dimensional bosons in quasi-periodic lattices

Cited by in corpus (7)

• Magnetism in the two-dimensional dipolar XY model
• Supersolid phases of lattice dipoles tilted in three-dimensions
• Recent progress on quantum simulations of non-standard Bose-Hubbard models
• The effect of disorder on the phase diagrams of hard-core lattice bosons with cavity-mediated long-range and nearest-neighbor interactions
• Quantum phases of lattice dipolar bosons coupled to a high-finesse cavity
• Phase diagrams of the disordered Bose-Hubbard model with cavity-mediated long-range and nearest-neighbor interactions
• Clock Factorized Quantum Monte Carlo Method for Long-range Interacting Systems