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S matrix from matrix product states

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.

preprint2014arXivOpen access
Laurens VanderstraetenJutho HaegemanTobias J. OsborneFrank Verstraete
cond-mat.str-elquant-ph
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Laurens VanderstraetenJutho HaegemanTobias J. OsborneFrank Verstraete

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