Entanglement properties of the nontrivial Haldane insulator in the 1D extended Bose-Hubbard model

International Conference on Strongly Correlated Electron Systems 2014

Ejima, Satoshi^1 ; Fehske, Holger^1

Institut für Physik, Ernst-Moritz-Arndt-Universität Greifswald, Greifswald

17489, Germany^1

关键词: Bose Hubbard model;    Density matrix renormalization group;    Entanglement properties;    Intermediate coupling;    Lattice inversion;    Nearest-neighbor repulsion;    Topological phase;    Von Neumann entropy;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/592/1/012134/pdf
DOI  :  10.1088/1742-6596/592/1/012134

来源: IOP

【 摘 要 】

We investigate the entanglement properties of a nontrivial topological phase in the one-dimensional (1D) Bose-Hubbard model with additional nearest-neighbor repulsion. Employing the large-scale density-matrix renormalization group technique we show that a gapped insulating phase protected by lattice inversion symmetry, the so-called Haldane insulator, appears between the Mott and density wave phases in the intermediate-coupling regime. The phase boundaries were determined from the central charge via the von Neumann entropy. The Haldane insulator reveals a characteristic degeneracy in the entanglement spectra. Breaking the lattice inversion symmetry strongly affects the distinctive gapped dispersion of the dynamical charge response of the bosonic Haldane insulator.