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Vanderstraeten L, Haegeman J, Osborne TJ, et al. S matrix from matrix product states. Phys Rev Lett. 2014;112(25):257202doi: 10.1103/PhysRevLett.112.257202.
Vanderstraeten, L., Haegeman, J., Osborne, T. J., & Verstraete, F. (2014). S matrix from matrix product states. Physical review letters, 112(25), 257202. https://doi.org/10.1103/PhysRevLett.112.257202
Vanderstraeten, Laurens, et al. "S matrix from matrix product states." Physical review letters vol. 112,25 (2014): 257202. doi: https://doi.org/10.1103/PhysRevLett.112.257202
Vanderstraeten L, Haegeman J, Osborne TJ, Verstraete F. S matrix from matrix product states. Phys Rev Lett. 2014 Jun 27;112(25):257202. doi: 10.1103/PhysRevLett.112.257202. Epub 2014 Jun 25. PMID: 25014826.
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Phys Rev Lett. 2014 Jun 27;112(25):257202. doi: 10.1103/PhysRevLett.112.257202. Epub 2014 Jun 25.

S matrix from matrix product states.

Physical review letters

Laurens Vanderstraeten, Jutho Haegeman, Tobias J Osborne, Frank Verstraete

Affiliations

  1. Department of Physics and Astronomy, Ghent University, Krijgslaan 281-S9, B-9000 Gent, Belgium.
  2. Institute of Theoretical Physics, Leibniz Universität Hannover, Appelstrasse 2, D-30167 Hannover, Germany.
  3. Department of Physics and Astronomy, Ghent University, Krijgslaan 281-S9, B-9000 Gent, Belgium and Vienna Center for Quantum Science, Universität Wien, Boltzmanngasse 5, A-1090 Wien, Austria.

PMID: 25014826 DOI: 10.1103/PhysRevLett.112.257202

Abstract

We use the matrix product state formalism to construct stationary scattering states of elementary excitations in generic one-dimensional quantum lattice systems. Our method is applied to the spin-1 Heisenberg antiferromagnet, for which we calculate the full magnon-magnon S matrix for arbitrary momenta and spin, the two-particle contribution to the spectral function, and higher order corrections to the magnetization curve. As our method provides an accurate microscopic representation of the interaction between elementary excitations, we envisage the description of low-energy dynamics of one-dimensional spin chains in terms of these particlelike excitations.

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