Advanced search
1 file | 1.48 MB

Simulating excitation spectra with projected entangled-pair states

(2019) PHYSICAL REVIEW B. 99(16).
Author
Organization
Project
QUTE (Quantum Tensor Networks and Entanglement)
Project
ERQUAF (Entanglement and Renormalisation for Quantum Fields)
Abstract
We develop and benchmark a technique for simulating excitation spectra of generic two-dimensional quantum lattice systems using the framework of projected entangled-pair states (PEPS). The technique relies on a variational ansatz for capturing quasiparticle excitations on top of a PEPS ground state. Our method perfectly captures the quasiparticle dispersion relation of the square-lattice transverse-field Ising model and reproduces the spin-wave velocity and the spin-wave anomaly in the square-lattice Heisenberg model with high precision.
Keywords
MATRIX PRODUCT STATES, HEISENBERG-ANTIFERROMAGNET, RENORMALIZATION-GROUP, MAGNON DISPERSION, ANYONS

Downloads

  • Simulating excitation spectra with projected entangled-pair states.pdf
    • full text
    • |
    • open access
    • |
    • PDF
    • |
    • 1.48 MB

Citation

Please use this url to cite or link to this publication:

Chicago
Vanderstraeten, Laurens, Jutho Haegeman, and Frank Verstraete. 2019. “Simulating Excitation Spectra with Projected Entangled-pair States.” Physical Review B 99 (16).
APA
Vanderstraeten, L., Haegeman, J., & Verstraete, F. (2019). Simulating excitation spectra with projected entangled-pair states. PHYSICAL REVIEW B, 99(16).
Vancouver
1.
Vanderstraeten L, Haegeman J, Verstraete F. Simulating excitation spectra with projected entangled-pair states. PHYSICAL REVIEW B. College pk: Amer Physical Soc; 2019;99(16).
MLA
Vanderstraeten, Laurens, Jutho Haegeman, and Frank Verstraete. “Simulating Excitation Spectra with Projected Entangled-pair States.” PHYSICAL REVIEW B 99.16 (2019): n. pag. Print.
@article{8614121,
  abstract     = {We develop and benchmark a technique for simulating excitation spectra of generic two-dimensional quantum lattice systems using the framework of projected entangled-pair states (PEPS). The technique relies on a variational ansatz for capturing quasiparticle excitations on top of a PEPS ground state. Our method perfectly captures the quasiparticle dispersion relation of the square-lattice transverse-field Ising model and reproduces the spin-wave velocity and the spin-wave anomaly in the square-lattice Heisenberg model with high precision.},
  articleno    = {165121},
  author       = {Vanderstraeten, Laurens and Haegeman, Jutho and Verstraete, Frank},
  issn         = {2469-9950},
  journal      = {PHYSICAL REVIEW B},
  language     = {eng},
  number       = {16},
  pages        = {5},
  publisher    = {Amer Physical Soc},
  title        = {Simulating excitation spectra with projected entangled-pair states},
  url          = {http://dx.doi.org/10.1103/PhysRevB.99.165121},
  volume       = {99},
  year         = {2019},
}

Altmetric
View in Altmetric
Web of Science
Times cited: