Exact Study of the 1D Boson Hubbard Model with a Superlattice Potential

Abstract

We use Quantum Monte Carlo simulations and exact diagonalization to explore the phase diagram of the Bose-Hubbard model with an additional superlattice potential. We first analyze the properties of superfluid and insulating phases present in the hard-core limit where an exact analytic treatment is possible via the Jordan-Wigner transformation. The extension to finite on-site interaction is achieved by means of quantum Monte Carlo simulations. We determine insulator/superfluid phase diagrams as functions of the on-site repulsive interaction, superlattice potential strength, and filling, finding that insulators with fractional occupation numbers, which are present in the hard-core case, extend deep into the soft-core region. Furthermore, at integer fillings, we find that the competition between the on-site repulsion and the superlattice potential can produce a phase transition between a Mott insulator and a charge density wave insulator, with an intermediate superfluid phase. Our results are relevant to the behavior of ultracold atoms in optical superlattices which are beginning to be studied experimentally.

13 pages, 23 figures

References in corpus (6)

• Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices
• Universal properties of hard-core bosons confined on one-dimensional lattices
• Ground-state properties of hard-core bosons confined on one-dimensional optical lattices
• Phase Diagram for Ultracold Bosons in Optical Lattices and Superlattices
• Fractional-filling loophole insulator domains for ultracold bosons in optical superlattices
• Cell strong coupling perturbative approach to the phase diagram of ultracold bosons in optical superlattices

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