Introduces an entanglement-based technique using Schmidt decompositions to isolate exclusive scattering channels in Matrix Product State simulations of quantum field theories, demonstrated for heavy particle detection in the 1D Ising model.
S matrix from matrix product states
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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.
fields
quant-ph 1years
2026 1verdicts
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Exclusive Scattering Channels from Entanglement Structure in Real-Time Simulations
Introduces an entanglement-based technique using Schmidt decompositions to isolate exclusive scattering channels in Matrix Product State simulations of quantum field theories, demonstrated for heavy particle detection in the 1D Ising model.