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.

5 pages, 4 figures + 3 pages supplemental material

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• Anyonic Haldane insulator in one dimension
• Supersolid-Superfluid phase separation in the extended Bose-Hubbard model
• Recent progress on quantum simulations of non-standard Bose-Hubbard models
• Quantum phase transitions in the dimerized extended Bose-Hubbard model
• Critical Entanglement for the Half-Filled Extended Hubbard Model
• Interaction-driven dynamical quantum phase transitions in a strongly correlated bosonic system
• Quantum phases of dipolar bosons in one-dimensional optical lattices
• Topological pump and bulk-edge-correspondence in an 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
• Ground states of one-dimensional dipolar lattice bosons at unit filling
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• 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
• Topological floating phase of dipolar bosons in an optical ladder
• Emergent supercounterfluid and quantum phase diagram of two-component interacting bosons in one-dimensional optical lattice
• Bosonic realization of SU(3) chiral Haldane phases