Spectral and Entanglement Properties of the Bosonic Haldane Insulator. Ejima, S., Lange, F., & Fehske, H. Physical Review Letters, 113(2):020401, July, 2014. 280![Spectral and Entanglement Properties of the Bosonic Haldane Insulator [link]](https://bibbase.org/img/filetypes/link.svg "link")
Paper doi abstract bibtex 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.
@article{ejima_spectral_2014,
title = {Spectral and {Entanglement} {Properties} of the {Bosonic} {Haldane} {Insulator}},
volume = {113},
url = {http://link.aps.org/doi/10.1103/PhysRevLett.113.020401},
doi = {10.1103/PhysRevLett.113.020401},
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.},
number = {2},
urldate = {2015-02-05},
journal = {Physical Review Letters},
author = {Ejima, Satoshi and Lange, Florian and Fehske, Holger},
month = jul,
year = {2014},
note = {280},
pages = {020401},
file = {APS Snapshot:/home/schlady/.zotero/zotero/za3jlr8i.default/zotero/storage/2PHB8S9Z/PhysRevLett.113.html:text/html;Ejima et al_2014_Spectral and Entanglement Properties of the Bosonic Haldane Insulator.pdf:/home/schlady/.zotero/zotero/za3jlr8i.default/zotero/storage/V2ZI57XX/Ejima et al_2014_Spectral and Entanglement Properties of the Bosonic Haldane Insulator.pdf:application/pdf}
}
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