S matrix from matrix product states

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.

Improved version, extra supplemental material

References in corpus (8)

• The density-matrix renormalization group in the age of matrix product states
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• Spectral Function for the S=1 Heisenberg Antiferromagetic Chain
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• Diagonalizing transfer matrices and matrix product operators: a medley of exact and computational methods
• Excitations and the tangent space of projected entangled-pair states
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• Transfer Matrices and Excitations with Matrix Product States
• Confinement and string breaking for QED${}_2$ in the Hamiltonian picture
• Entanglement generation in $(1+1)D$ QED scattering processes
• High-Energy Collision of Quarks and Mesons in the Schwinger Model: From Tensor Networks to Circuit QED
• Scattering particles in quantum spin chains
• Topological nature of spinons and holons: Elementary excitations from matrix product states with conserved symmetries
• Real-time scattering of interacting quasiparticles in quantum spin chains
• Spinon confinement and deconfinement in spin-1 chains
• Quasi-particle interactions in frustrated Heisenberg chains
• Spectral functions with infinite projected entangled-pair states
• Momentum-resolved time evolution with matrix product states
• Spin fluctuations after quantum quenches in the S=1 Haldane chain: numerical validation of the semi-semiclassical theory
• Interaction distance in the extended XXZ model
• Spectral gaps of two- and three-dimensional many-body quantum systems in the thermodynamic limit
• Effective One-Dimensional Models from Matrix Product States
• Efficient and systematic calculation of arbitrary observables for the matrix product state excitation ansatz
• Les Houches Lecture Notes on Tensor Networks
• Lieb-Robinson bounds, Arveson spectrum and Haag-Ruelle scattering theory for gapped quantum spin systems