Variational matrix product ansatz for nonuniform dynamics in the thermodynamic limit

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Ashley Milsted
  • Jutho Haegeman
  • Tobias J. Osborne
  • Frank Verstraete

Organisationseinheiten

Externe Organisationen

  • Universität Wien
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Aufsatznummer155116
FachzeitschriftPhysical Review B - Condensed Matter and Materials Physics
Jahrgang88
Ausgabenummer15
PublikationsstatusVeröffentlicht - 14 Okt. 2013

Abstract

We describe how to implement the time-dependent variational principle for matrix product states in the thermodynamic limit for nonuniform lattice systems. This is achieved by confining the nonuniformity to a (dynamically expandable) finite region with fixed boundary conditions. The suppression of nonphysical quasiparticle reflections from the boundary of the nonuniform region is also discussed. Using this algorithm we study the dynamics of localized excitations in infinite systems, which we illustrate in the case of the spin-1 antiferromagnetic Heisenberg model and the 4 model.

ASJC Scopus Sachgebiete

Zitieren

Variational matrix product ansatz for nonuniform dynamics in the thermodynamic limit. / Milsted, Ashley; Haegeman, Jutho; Osborne, Tobias J. et al.
in: Physical Review B - Condensed Matter and Materials Physics, Jahrgang 88, Nr. 15, 155116, 14.10.2013.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Milsted A, Haegeman J, Osborne TJ, Verstraete F. Variational matrix product ansatz for nonuniform dynamics in the thermodynamic limit. Physical Review B - Condensed Matter and Materials Physics. 2013 Okt 14;88(15):155116. doi: 10.1103/PhysRevB.88.155116
Milsted, Ashley ; Haegeman, Jutho ; Osborne, Tobias J. et al. / Variational matrix product ansatz for nonuniform dynamics in the thermodynamic limit. in: Physical Review B - Condensed Matter and Materials Physics. 2013 ; Jahrgang 88, Nr. 15.
Download
@article{d15cbbe7e8164ffc87509d560d0cf9fd,
title = "Variational matrix product ansatz for nonuniform dynamics in the thermodynamic limit",
abstract = "We describe how to implement the time-dependent variational principle for matrix product states in the thermodynamic limit for nonuniform lattice systems. This is achieved by confining the nonuniformity to a (dynamically expandable) finite region with fixed boundary conditions. The suppression of nonphysical quasiparticle reflections from the boundary of the nonuniform region is also discussed. Using this algorithm we study the dynamics of localized excitations in infinite systems, which we illustrate in the case of the spin-1 antiferromagnetic Heisenberg model and the 4 model.",
author = "Ashley Milsted and Jutho Haegeman and Osborne, {Tobias J.} and Frank Verstraete",
year = "2013",
month = oct,
day = "14",
doi = "10.1103/PhysRevB.88.155116",
language = "English",
volume = "88",
journal = "Physical Review B - Condensed Matter and Materials Physics",
issn = "1098-0121",
publisher = "American Institute of Physics",
number = "15",

}

Download

TY - JOUR

T1 - Variational matrix product ansatz for nonuniform dynamics in the thermodynamic limit

AU - Milsted, Ashley

AU - Haegeman, Jutho

AU - Osborne, Tobias J.

AU - Verstraete, Frank

PY - 2013/10/14

Y1 - 2013/10/14

N2 - We describe how to implement the time-dependent variational principle for matrix product states in the thermodynamic limit for nonuniform lattice systems. This is achieved by confining the nonuniformity to a (dynamically expandable) finite region with fixed boundary conditions. The suppression of nonphysical quasiparticle reflections from the boundary of the nonuniform region is also discussed. Using this algorithm we study the dynamics of localized excitations in infinite systems, which we illustrate in the case of the spin-1 antiferromagnetic Heisenberg model and the 4 model.

AB - We describe how to implement the time-dependent variational principle for matrix product states in the thermodynamic limit for nonuniform lattice systems. This is achieved by confining the nonuniformity to a (dynamically expandable) finite region with fixed boundary conditions. The suppression of nonphysical quasiparticle reflections from the boundary of the nonuniform region is also discussed. Using this algorithm we study the dynamics of localized excitations in infinite systems, which we illustrate in the case of the spin-1 antiferromagnetic Heisenberg model and the 4 model.

UR - http://www.scopus.com/inward/record.url?scp=84885814418&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.88.155116

DO - 10.1103/PhysRevB.88.155116

M3 - Article

AN - SCOPUS:84885814418

VL - 88

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

SN - 1098-0121

IS - 15

M1 - 155116

ER -