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S Matrix from Matrix Product States

Autor(en)
Laurens Vanderstraeten, Jutho Haegeman, Tobias J. Osborne, Frank Verstraete
Abstrakt

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.

Organisation(en)
Quantenoptik, Quantennanophysik und Quanteninformation
Externe Organisation(en)
Ghent University , Gottfried Wilhelm Leibniz Universität Hannover
Journal
Physical Review Letters
Band
112
Anzahl der Seiten
5
ISSN
0031-9007
DOI
https://doi.org/10.1103/PhysRevLett.112.257202
Publikationsdatum
06-2014
Peer-reviewed
Ja
ÖFOS 2012
103025 Quantenmechanik
Schlagwörter
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/8bddc527-e27b-4399-b877-ed5c2564555a