Phase diagram of the hardcore Bose-Hubbard model on a checkerboard superlattice

Abstract

We obtain the complete phase diagram of the hardcore Bose-Hubbard model in the presence of a period-two superlattice in two and three dimensions. First we acquire the phase boundaries between the superfluid phase and the `trivial' insulating phases of the model (the completely-empty and completely-filled lattices) analytically. Next, the boundary between the superfluid phase and the half-filled Mott-insulating phase is obtained numerically, using the stochastic series expansion (SSE) algorithm followed by finite-size scaling. We also compare our numerical results against the predictions of several approximation schemes, including two mean-field approaches and a fourth-order strong-coupling expansion (SCE), where we show that the latter method in particular is successful in producing an accurate picture of the phase diagram. Finally, we examine the extent to which several approximation schemes, such as the random phase approximation and the strong-coupling expansion, give an accurate description of the momentum distribution of the bosons inside the insulating phases.

11 pages, 7 figures

References in corpus (15)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Monte Carlo study of two-dimensional Bose-Hubbard model
• Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices
• Formation of spatial shell structures in the superfluid to Mott insulator transition
• Mott insulator to superfluid transition in the Bose-Hubbard model: a strong-coupling approach
• Condensate fraction in a 2D Bose gas measured across the Mott-insulator transition
• Boson Mott insulators at finite temperatures
• Universal properties of hard-core bosons confined on one-dimensional lattices
• Ground-state properties of hard-core bosons confined on one-dimensional optical lattices
• Strong-coupling expansion for the momentum distribution of the Bose Hubbard model with benchmarking against exact numerical results
• Spectral weight redistribution in strongly correlated bosons in optical lattices
• Intrinsic Heating and Cooling in Adiabatic Processes for Bosons in Optical Lattices
• Superfluid to Mott-insulator transition of hardcore bosons in a superlattice
• Momentum distribution of the insulating phases of the extended Bose-Hubbard model

Cited by in corpus (28)

• Interaction effects and quantum phase transitions in topological insulators
• Equilibration Dynamics of Strongly Interacting Bosons in 2D Lattices with Disorder
• Multi-site mean-field theory for cold bosonic atoms in optical lattices
• Quantum phases in tunable state-dependent hexagonal optical lattices
• Strong-coupling expansion for the two-species Bose-Hubbard model
• Collapse and revival oscillations as a probe for the tunneling amplitude in an ultra-cold Bose gas
• The three site interacting spin chain in staggered field: Fidelity vs Loschmidt echo
• Analytical and numerical study of trapped strongly correlated bosons in two- and three-dimensional lattices
• Artificial gauge fields for the Bose-Hubbard model on a checkerboard superlattice and extended Bose-Hubbard model
• Strongly Interacting Atom Lasers in Three Dimensional Optical Lattices
• High-order symbolic strong-coupling expansion for the Bose-Hubbard model
• Mott-insulator-to-superconductor transition in a two-dimensional superlattice
• Strong-coupling expansion for the spin-1 Bose-Hubbard model
• Berry Curvature of interacting bosons in a honeycomb lattice
• Stochastic approximation of dynamical exponent at quantum critical point
• Energy spectrum and phase diagrams of two-sublattice hard-core boson model
• Layer Pseudospin Magnetism in Transition-Metal-Dichalcogenide Double-Moirés
• Disorder in interacting quasi-one-dimensional systems: flat and dispersive bands
• Charge excitations across a superconductor-insulator transition
• Multiband Effects and the Bose-Hubbard Model in One-Dimensional Lattices
• Superfluid phases of ultracold Fermi gases on a checkerboard superlattice
• Dipolar Bose-Hubbard Model in finite-size real-space cylindrical lattices
• Dynamic conductivity of one-dimensional ion conductors. Impedance, Nyquist diagrams
• Phonon-like excitations in the two-state Bose-Hubbard model
• One-particle spectral densities and phase diagrams of one-dimensional proton conductors
• Strong-coupling study of spin-1 bosons in square and triangular optical lattice
• Spectral densities and diagrams of states of one-dimensional ionic Pauli conductor
• Bose-Fermi-Hubbard model on a lattice with two nonequivalent sublattices