Particles, holes, and solitons: A matrix product state approach

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Damian Draxler
  • Jutho Haegeman
  • Tobias J. Osborne
  • Vid Stojevic
  • Laurens Vanderstraeten
  • Frank Verstraete

Organisationseinheiten

Externe Organisationen

  • Universität Wien
  • Universiteit Gent
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Details

OriginalspracheEnglisch
Aufsatznummer020402
FachzeitschriftPhysical Review Letters
Jahrgang111
Ausgabenummer2
PublikationsstatusVeröffentlicht - 9 Juli 2013

Abstract

We introduce a variational method for calculating dispersion relations of translation invariant (1+1)-dimensional quantum field theories. The method is based on continuous matrix product states and can be implemented efficiently. We study the critical Lieb-Liniger model as a benchmark and excellent agreement with the exact solution is found. Additionally, we observe solitonic signatures of Lieb's type II excitation. In addition, a nonintegrable model is introduced where a U(1)-symmetry breaking term is added to the Lieb-Liniger Hamiltonian. For this model we find evidence of a nontrivial bound-state excitation in the dispersion relation.

ASJC Scopus Sachgebiete

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Particles, holes, and solitons: A matrix product state approach. / Draxler, Damian; Haegeman, Jutho; Osborne, Tobias J. et al.
in: Physical Review Letters, Jahrgang 111, Nr. 2, 020402, 09.07.2013.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Draxler, D, Haegeman, J, Osborne, TJ, Stojevic, V, Vanderstraeten, L & Verstraete, F 2013, 'Particles, holes, and solitons: A matrix product state approach', Physical Review Letters, Jg. 111, Nr. 2, 020402. https://doi.org/10.1103/PhysRevLett.111.020402
Draxler, D., Haegeman, J., Osborne, T. J., Stojevic, V., Vanderstraeten, L., & Verstraete, F. (2013). Particles, holes, and solitons: A matrix product state approach. Physical Review Letters, 111(2), Artikel 020402. https://doi.org/10.1103/PhysRevLett.111.020402
Draxler D, Haegeman J, Osborne TJ, Stojevic V, Vanderstraeten L, Verstraete F. Particles, holes, and solitons: A matrix product state approach. Physical Review Letters. 2013 Jul 9;111(2):020402. doi: 10.1103/PhysRevLett.111.020402
Draxler, Damian ; Haegeman, Jutho ; Osborne, Tobias J. et al. / Particles, holes, and solitons : A matrix product state approach. in: Physical Review Letters. 2013 ; Jahrgang 111, Nr. 2.
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