Superfluid to Mott-insulator transition of hardcore bosons in a superlattice

Abstract

We study the superfluid to Mott-insulator (SF-MI) transition of hardcore bosons in commensurate superlattices in two and three dimensions. We focus on the special case where the superlattice has period two and the system is at half filling. We obtain exact numerical results by using the stochastic series expansion (SSE) algorithm, and compute various properties of the system, such as the ground-state energy, the fraction of bosons in the zero-momentum mode, the superfluid density, and the compressibility. With finite-size scaling, we find the critical points of the phase transition. We also explore the extent to which several approximate solutions such as mean-field theory, with and without spin-wave corrections, can help one gain analytical insight into the behavior of the system in the vicinity of the phase transition.

11 pages, 10 figures

References in corpus (10)

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• A lattice of double wells for manipulating pairs of cold atoms
• Preparing and probing atomic number states with an atom interferometer
• Sublattice addressing and spin-dependent motion of atoms in a double-well lattice
• Universal properties of hard-core bosons confined on one-dimensional lattices
• Ground-state properties of hard-core bosons confined on one-dimensional optical lattices
• Bose-Hubbard phase diagram with arbitrary integer filling
• Quantum rotor description of the Mott-insulator transition in the Bose-Hubbard model
• Quantum Phase Transitions of Hard-Core Bosons in Background Potentials

Cited by in corpus (11)

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• Strongly Interacting Atom Lasers in Three Dimensional Optical Lattices
• Disorder in interacting quasi-one-dimensional systems: flat and dispersive bands
• Charge excitations across a superconductor-insulator transition
• Dynamic conductivity of one-dimensional ion conductors. Impedance, Nyquist diagrams
• Fractional-quantum-Hall-effect (FQHE) in 1D Hubbard models
• Spectral densities and diagrams of states of one-dimensional ionic Pauli conductor
• Spin wave theory for interacting hardcore bosons on cubic lattices: a comparative study
• Energetical self-organization of a few strongly interacting particles