S matrix from matrix product states
Strongly Correlated Electrons
2014-07-09 v2 Quantum Physics
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 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.
Keywords
Cite
@article{arxiv.1312.6793,
title = {S matrix from matrix product states},
author = {Laurens Vanderstraeten and Jutho Haegeman and Tobias J. Osborne and Frank Verstraete},
journal= {arXiv preprint arXiv:1312.6793},
year = {2014}
}
Comments
Improved version, extra supplemental material