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Title: Numerical study of the hard-core Bose-Hubbard model on an infinite square lattice

Abstract

We present a study of the hard-core Bose-Hubbard model at zero temperature on an infinite square lattice using the infinite projected entangled pair state algorithm [J. Jordan, R. Orus, G. Vidal, F. Verstraete, and J. I. Cirac, Phys. Rev. Lett. 101, 250602 (2008)]. Throughout the whole phase diagram our values for the ground-state energy, particle density, and condensate fraction accurately reproduce those previously obtained by other methods. We also explore ground-state entanglement, compute two-point correlators, and conduct a fidelity-based analysis of the phase diagram. Furthermore, for illustrative purposes we simulate the response of the system when a perturbation is suddenly added to the Hamiltonian.

Authors:
; ;  [1]
  1. School of Mathematics and Physics, The University of Queensland, Brisbane QLD 4072 (Australia)
Publication Date:
OSTI Identifier:
21287010
Resource Type:
Journal Article
Journal Name:
Physical Review. B, Condensed Matter and Materials Physics
Additional Journal Information:
Journal Volume: 79; Journal Issue: 17; Other Information: DOI: 10.1103/PhysRevB.79.174515; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1098-0121
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ALGORITHMS; BOSONS; CONDENSATES; DENSITY; DISTURBANCES; GROUND STATES; HAMILTONIANS; HUBBARD MODEL; NUMERICAL ANALYSIS; PERTURBATION THEORY; PHASE DIAGRAMS; QUANTUM ENTANGLEMENT; TEMPERATURE ZERO K; TETRAGONAL LATTICES

Citation Formats

Jordan, Jacob, Orus, Roman, and Vidal, Guifre. Numerical study of the hard-core Bose-Hubbard model on an infinite square lattice. United States: N. p., 2009. Web. doi:10.1103/PHYSREVB.79.174515.
Jordan, Jacob, Orus, Roman, & Vidal, Guifre. Numerical study of the hard-core Bose-Hubbard model on an infinite square lattice. United States. https://doi.org/10.1103/PHYSREVB.79.174515
Jordan, Jacob, Orus, Roman, and Vidal, Guifre. 2009. "Numerical study of the hard-core Bose-Hubbard model on an infinite square lattice". United States. https://doi.org/10.1103/PHYSREVB.79.174515.
@article{osti_21287010,
title = {Numerical study of the hard-core Bose-Hubbard model on an infinite square lattice},
author = {Jordan, Jacob and Orus, Roman and Vidal, Guifre},
abstractNote = {We present a study of the hard-core Bose-Hubbard model at zero temperature on an infinite square lattice using the infinite projected entangled pair state algorithm [J. Jordan, R. Orus, G. Vidal, F. Verstraete, and J. I. Cirac, Phys. Rev. Lett. 101, 250602 (2008)]. Throughout the whole phase diagram our values for the ground-state energy, particle density, and condensate fraction accurately reproduce those previously obtained by other methods. We also explore ground-state entanglement, compute two-point correlators, and conduct a fidelity-based analysis of the phase diagram. Furthermore, for illustrative purposes we simulate the response of the system when a perturbation is suddenly added to the Hamiltonian.},
doi = {10.1103/PHYSREVB.79.174515},
url = {https://www.osti.gov/biblio/21287010}, journal = {Physical Review. B, Condensed Matter and Materials Physics},
issn = {1098-0121},
number = 17,
volume = 79,
place = {United States},
year = {2009},
month = {5}
}