Spectral and Entanglement Properties of the Bosonic Haldane Insulator

Abstract

We discuss the existence of a nontrivial topological phase in one-dimensional interacting systems described by the extended Bose-Hubbard model with a mean filling of one boson per site. Performing large-scale density-matrix renormalization group calculations we show that the presence of nearest-neighbor repulsion enriches the ground-state phase diagram of the paradigmatic Bose-Hubbard model by stabilizing a novel gapped insulating state, the so-called Haldane insulator, which, embedded into superfluid, Mott insulator, and density wave phases, is protected by the lattice inversion symmetry. The quantum phase transitions between the different insulating phases were determined from the central charge via the von Neumann entropy. The Haldane phase reveals a characteristic fourfold degeneracy of the entanglement spectrum. We finally demonstrate that the intensity maximum of the dynamical charge structure factor, accessible by Bragg spectroscopy, features the gapped dispersion known from the spin-1 Heisenberg chain.

arXiv comment5 pages, 4 figures + 3 pages supplemental material

References in corpus (28)

• Many-Body Physics with Ultracold Gases
• Quantum Spin Hall Effect in Graphene
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Entanglement Entropy and Quantum Field Theory
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Entanglement spectrum of a topological phase in one dimension
• Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order
• Symmetry protection of topological order in one-dimensional quantum spin systems
• Dynamical density-matrix renormalization-group method
• Single particle Green's functions and interacting topological insulators
• Hidden order in 1D Bose insulators
• Ground State Phase Diagram of S=1 XXZ Chains with Uniaxial Single-Ion-Type Anisotropy
• Rise and fall of hidden string order of lattice bosons
• Momentum-Resolved Bragg Spectroscopy in Optical Lattices
• Topological invariants and interacting one-dimensional fermionic systems
• Exploring correlated 1D Bose gases from the superfluid to the Mott-insulator state by inelastic light scattering
• Phase diagram of the extended Bose Hubbard model
• Topological phases in ultracold polar-molecule quantum magnets
• Dynamic properties of the one-dimensional Bose-Hubbard model
• Characterization of a topological Mott insulator in one dimension
• Phase Diagram of $S=1$ Bond-Alternating XXZ chains
• Characterization of Mott-insulating and superfluid phases in the one-dimensional Bose--Hubbard model
• Tomonaga-Luttinger-liquid criticality: numerical entanglement entropy approach
• Competing Supersolid and Haldane Insulator phases in the extended one-dimensional bosonic Hubbard model
• Symmetry Protected Topological Phases in Spin Ladders with Two-body Interactions
• Ising Deconfinement Transition Between Feshbach-Resonant Superfluids
• Topological pumping in the one-dimensional Bose-Hubbard model
• Dynamic density-density correlations in interacting Bose gases on optical lattices

Cited by in corpus (38)

• Unsupervised phase discovery with deep anomaly detection
• Topological quantum critical points in the extended Bose-Hubbard model
• Comparative density-matrix renormalization group study of symmetry-protected topological phases in spin-1 chain and Bose-Hubbard models
• Intrinsically/Purely Gapless-SPT from Non-Invertible Duality Transformations
• Anyonic Haldane insulator in one dimension
• Entanglement-spectrum characterization of ground-state nonanalyticities in coupled excitation-phonon models
• Phase diagrams of the extended Bose-Hubbard model in one dimension by Monte-Carlo simulation with the help of a stochastic-series expansion
• Density waves in strongly correlated quantum chains
• Realizing the Haldane Phase with Bosons in Optical Lattices
• Ising tricriticality in the extended Hubbard model with bond dimerization
• Supersolid-Superfluid phase separation in the extended Bose-Hubbard model
• Haldane phase in the sawtooth lattice: Edge states, entanglement spectrum and the flat band
• Recent progress on quantum simulations of non-standard Bose-Hubbard models
• Critical Entanglement for the Half-Filled Extended Hubbard Model
• Interaction-driven dynamical quantum phase transitions in a strongly correlated bosonic system
• Quantum phase transitions in the dimerized extended Bose-Hubbard model
• Criticality at the Haldane-insulator charge-density-wave quantum phase transition
• Quantum phases of dipolar bosons in one-dimensional optical lattices
• Symmetry-protected topological phase in a one-dimensional correlated bosonic model with a synthetic spin-orbit coupling
• Excitation and dynamics in the extended bose-hubbard model
• Symmetry-protected Topological Phases in Spinful Bosons with a Flat Band
• Density matrix renormalization group study in energy space for a single-impurity Anderson model and an impurity quantum phase transition
• Topological pump and bulk-edge-correspondence in an extended Bose-Hubbard model
• Macroscopic boundary effects in the one-dimensional extended Bose-Hubbard model
• Phase Diagram Detection via Gaussian Fitting of Number Probability Distribution
• Anyonic phase transitions in the 1D extended Hubbard model with fractional statistics
• Exotic Haldane Superfluid Phase of Soft-Core Bosons in Optical Lattices
• Ground states of one-dimensional dipolar lattice bosons at unit filling
• Entanglement and edge effects in superpositions of many-body Fock states with spatial constraints
• Non-adiabatic dynamics of the entanglement entropy in a symmetry-breaking Haldane insulator
• Fundamental role of nonlocal orders in 1D Extended Bose-Hubbard Model
• Emergence of topological states in relaxation dynamics of interacting bosons
• Frequency-selective amplification of nonlinear response in strongly correlated bosons
• Bosonic realization of SU(3) chiral Haldane phases
• Bosonic Haldane insulator in the presence of local disorder: A quantum Monte Carlo study
• Emergent supercounterfluid and quantum phase diagram of two-component interacting bosons in one-dimensional optical lattice
• Emergent Haldane phase in an alternating bond ${\mathbb{Z}}_3$ parafermion chain
• Topological floating phase of dipolar bosons in an optical ladder