Quasiparticles in Quantum Spin Chains with Long-Range Interactions

Laurens Vanderstraeten, Maarten Van Damme, Hans Peter Büchler, and Frank Verstraete
Phys. Rev. Lett. 121, 090603 – Published 31 August 2018

Abstract

We study quasiparticle excitations for quantum spin chains with long-range interactions using variational matrix product state techniques. It is confirmed that the local quasiparticle ansatz is able to capture those excitations very accurately, even when the correlation length becomes very large and in the case of topological nontrivial excitation such as spinons. It is demonstrated that the breaking of the Lieb-Robinson bound follows from the appearance of cusps in the dispersion relation, and evidence is given for a crossover between different quasiparticles as the long-range interactions are tuned.

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  • Received 13 February 2018
  • Revised 23 May 2018

DOI:https://doi.org/10.1103/PhysRevLett.121.090603

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Laurens Vanderstraeten1,*, Maarten Van Damme1, Hans Peter Büchler2, and Frank Verstraete1,3

  • 1Department of Physics and Astronomy, University of Ghent, Krijgslaan 281, 9000 Gent, Belgium
  • 2Institute for Theoretical Physics III and Center for Integrated Quantum Science and Technology, University of Stuttgart, 70550 Stuttgart, Germany
  • 3Vienna Center for Quantum Science and Technology, Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria

  • *laurens.vanderstraeten@ugent.be

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Issue

Vol. 121, Iss. 9 — 31 August 2018

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