Supersolids in the Bose-Hubbard Hamiltonian

Abstract

We use a combination of numeric and analytic techniques to determine the groun d state phase diagram of the Bose--Hubbard Hamiltonian with longer range repulsi ve interactions. At half filling one finds superfluidity and an insulating solid phase. Depending on the relative sizes of near--neighbor and next near--neighbor interactions, this solid either follows a checkerboard or a striped pattern. In neither case is there a coexistence with superfluidity. However upon doping ``supersolid'' phases appear with simultaneous diagonal and off--diagonal long range order.

11 pages, Revtex 3.0, 6 figures (upon request)

References in corpus (2)

• Interstitials, Vacancies, and Supersolid Order in Vortex Crystals
• On the Coexistence of Diagonal and off-Diagonal Long-Range Order, a Monte Carlo Study

Cited by in corpus (127)

• The physics of dipolar bosonic quantum gases
• Condensed Matter Theory of Dipolar Quantum Gases
• Quantum phases of dipolar bosons in optical lattices
• Quantum many-body models with cold atoms coupled to photonic crystals
• The one-dimensional Bose-Hubbard Model with nearest-neighbor interaction
• Supersolid hardcore bosons on the triangular lattice
• Strong-coupling expansions for the pure and disordered bose Hubbard model
• Phases of the one-dimensional Bose-Hubbard model
• Quantum Phases of Cold Polar Molecules in 2D Optical Lattices
• Phase separation in supersolids
• Supersolids versus phase separation in two-dimensional lattice bosons
• Cold Bosons in Optical Lattices
• Dynamics and Thermodynamics of the Bose-Hubbard model
• Nature of the quantum phase transitions in the two-dimensional hardcore boson model
• Supersolid phase with cold polar molecules on a triangular lattice
• Magnetization plateaus of the Shastry-Sutherland model for SrCu_2(BO_3)_2: SDW, supersolid and bound states
• Finite-Temperature Phase Diagram of Hard-Core Bosons in Two Dimensions
• Dual gauge field theory of quantum liquid crystals in two dimensions
• Quantum-Phase Transitions of Interacting Bosons and the Supersolid Phase
• Exact Demonstration of Magnetization Pleateaus and First Order Dimer-Néel Phase Transitions in a Modified Shastry-Sutherland Model for SrCu${}_2$(BO${}_3$)${}_2$
• Self-organised Limit-Cycles, Chaos and Phase-Slippage with a Superfluid inside an Optical Resonator
• Quantum Smectic and Supersolid Order in Helium Films and Vortex Arrays
• Dipolar quantum solids emerging in a Hubbard quantum simulator
• Stability of superfluid and supersolid phases of dipolar bosons in optical lattices
• Dual gauge field theory of quantum liquid crystals in three dimensions
• Quantum Melting of Charge Order due to Frustration in Two-Dimensional Quarter-Filled Systems
• Extended Bose Hubbard model of interacting bosonic atoms in optical lattices: from superfluidity to density waves
• Route to supersolidity for the extended Bose-Hubbard model
• Complete devil's staircase and crystal--superfluid transitions in a dipolar XXZ spin chain: A trapped ion quantum simulation
• Quantum phases of hardcore bosons with long-range interactions on a square lattice
• Phonon dispersion and the competition between pairing and charge order
• Magnetization process of the spin-1/2 XXZ models on square and cubic lattices
• Ultracold Bosons with cavity-mediated long-range interactions: A local mean field analysis of the phase diagram
• Bose-Hubbard model with occupation dependent parameters
• Supersolidity from defect-condensation in the extended boson Hubbard model
• Quantum melting of a crystal of dipolar bosons
• Extended Bose-Hubbard model with dipolar excitons
• Phase Diagram of Interacting Bosons on the Honeycomb Lattice
• Critical Behavior of the Supersolid transition in Bose-Hubbard Models
• Competing Supersolid and Haldane Insulator phases in the extended one-dimensional bosonic Hubbard model
• Supersolid and solitonic phases in one-dimensional Extended Bose-Hubbard model
• Strong-coupling perturbation theory for the extended Bose-Hubbard model
• Exact solution of the Bose-Hubbard model on the Bethe lattice
• Quantum phase transitions in cuprates: stripes and antiferromagnetic supersolids
• Numerical Study of the Spin-Flop Transition in Anisotropic Spin-1/2 Antiferromagnets
• Superfluid, Mott-Insulator, and Mass-Density-Wave Phases in the One-Dimensional Extended Bose-Hubbard Model
• Spatially Ordered Fractional Quantum Hall States
• A striped supersolid phase and the search for deconfined quantum criticality in hard-core bosons on the triangular lattice
• Supersolid phase of the extended Bose-Hubbard model with an artificial gauge field
• Staggered superfluid phases of dipolar bosons in two-dimensional square lattices
• Bose-Einstein condensation temperature of weakly interacting atoms
• Competing phases, phase separation and co-existence in the extended one-dimensional bosonic Hubbard model
• Bosons Confined in Optical Lattices: the Numerical Renormalization Group revisited
• d-Wave Superfluidity in Optical Lattices of Ultracold Polar Molecules
• Bose-Einstein Condensation of Particle-Hole Pairs in Ultracold Fermionic Atoms Trapped within Optical Lattices
• Supersolid in a one-dimensional model of hard-core bosons
• Variational ansatz for the superfluid Mott-insulator transition in optical lattices
• Phase diagrams, critical and multicritical behavior of hard-core Bose-Hubbard models
• Global Phase Diagram of the High Tc Cuprates
• Mean-field phase diagram of ultracold atomic gases in cavity quantum electrodynamics
• Superfluid phases induced by the dipolar interactions
• Quantum phases of attractive bosons on a Bose-Hubbard ladder with three-body constraint
• Spinless fermions and charged stripes at the strong-coupling limit
• The relation between Feynman cycles and off-diagonal long-range order
• Superconductor-insulator transition driven by local dephasing
• The mobility of dual vortices in honeycomb, square, triangular, Kagome and dice lattices
• The Generic, Incommensurate Transition in the two-dimensional Boson Hubbard Model
• Extended Bose Hubbard model for two leg ladder systems in artificial magnetic fields
• Haldane phase in the sawtooth lattice: Edge states, entanglement spectrum and the flat band
• HamLib: A library of Hamiltonians for benchmarking quantum algorithms and hardware
• Ring Exchange and Phase Separation in the Two-dimensional Boson Hubbard model
• Global phase diagram of three-dimensional extended Boson Hubbard model - a continuous time Quantum Monte Carlo study
• Duality, Magnetic space group and their applications to quantum phases and phase transitions on bipartite lattices in several experimental systems
• One-dimensional Josephson arrays as superlattices for single Cooper pairs
• Superfluidity in the absence of kinetics in spin-orbit-coupled optical lattices
• Quantum magnetism and counterflow supersolidity of up-down bosonic dipoles
• Gutzwiller study of extended Hubbard models with fixed boson densities
• Signatures of the superfluid to Mott insulator transition in cold bosonic atoms in a one dimensional optical lattice
• Quantum Phase Transitions for Bosons in One Dimension
• Quantum Phase Transitions in Superconducting Arrays with General Capacitance Matrices
• Two supersolid phases in hard-core extended Bose-Hubbard model
• Superfluidity and solid orders in two-component Bose gas with dipolar interactions in an optical lattice
• Excitation and dynamics in the extended bose-hubbard model
• Phases and collective modes of bosons in a triangular lattice at finite temperature: A cluster mean field study
• Effect of fluctuations on the superfluid-supersolid phase transition on the lattice
• Tunneling frustration induced peculiar supersolid phases in the extended Bose-Hubbard model
• Density Wave -Supersolid and Mott Insulator-Superfluid transition in presence of an artificial gauge field : a strong coupling perturbation approach
• Quantum phases of hardcore bosons in two coupled chains: A density matrix renormalization group study
• Phase diagram reconstruction of the Bose-Hubbard model with a Restricted Boltzmann Machine wavefunction
• Supersolid phase of Three-dimensional spin and hardcore-boson models
• Variational identification of a fractional Chern insulator in an extended Bose-Hubbard model
• Haldane Insulator in the 1D Nearest-Neighbor Extended Bose-Hubbard Model with Cavity-Mediated Long-Range Interactions
• Hubbard-like Hamiltonian for ultracold atoms in a 1D optical lattice
• Hydrodynamics of Spatially Ordered Superfluids
• A Comprehensive Cross-Model Framework for Benchmarking the Performance of Quantum Hamiltonian Simulations
• Anomalous supersolidity in a weakly interacting dipolar Bose mixture on a square lattice
• Three-body interacting dipolar bosons and the fate of lattice supersolidity
• First Order Superconductor to Insulator Transition: Evidence for a Supersolid Phase
• Study of supersolidity in the two-dimensional Hubbard-Holstein model
• Study of long-range orders of hard-core bosons coupled to cooperative normal modes in two-dimensional lattices
• A quantum Monte Carlo algorithm for Bose-Hubbard models on arbitrary graphs
• Weak topological insulating phases of hard-core-bosons on the honeycomb lattice
• Pair hopping in systems of strongly interacting hard-core bosons
• Hardcore bosons on the dual of the bowtie lattice
• Classical and Quantum Gases on a Semiregular Mesh
• Phase diagram of dipolar hard-core bosons on honeycomb lattice
• Commensurate lock-in and incommensurate supersolid phases of hardcore bosons on anisotropic triangular lattices
• Super-Tonks-Girardeau Quench in the Extended Bose-Hubbard Model
• Quantum Phase Transitions in a Dimerized Bose-Hubbard Model: A DMRG Study
• Phase Stability in the Two dimensional Anisotropic Boson Hubbard Hamiltonian
• Learning phases with Quantum Monte Carlo simulation cell
• Exact duality and dual Monte-Carlo simulation for the Bosonic Hubbard model
• Dimensional crossover in self-organised super-radiant phases of ultra cold atoms inside a cavity
• Formation of paired phases of bosons and their excitations in a square lattice
• Insulator phases of Bose-Fermi mixtures induced by intraspecies next-neighbor interactions
• Alteration of Topology in Quantum Phase Transitions via Symmetry Enrichment
• Non-uniform ground state for the Bose gas
• Mixed-order transition and tricritical point associated with checkerboard supersolidity in the two-dimensional $t_2-V_1$ model
• Finite temperature phases and excitations of bosons on a square lattice: A cluster mean field study
• Interlayer-Interaction Dependence of Latent Heat in the Heisenberg Model on a Stacked Triangular Lattice with Competing Interactions
• Drude weight in hard core Boson systems: possibility of a finite temperature ideal conductor
• Supersolid in Bose-Bose-Fermi Mixtures subjected to a Square Lattice
• Excitation spectrum and momentum distribution of the ionic Bose-Hubbard model
• Mott phases and quantum phase transitions of extended Bose-Hubbard models in 2+1 dimensions
• Coexistence of long-range orders in a Bose-Holstein model
• Universal dynamical phase diagram of lattice spin models and strongly correlated ultracold atoms in optical lattices
• Identifying insulating states of ultra cold atoms with cavity transmission spectrum