Entanglement perturbation theory for the elementary excitation in one dimension

Abstract

The entanglement perturbation theory is developed to calculate the excitation spectrum in one dimension. Applied to the spin-$\frac{1}{2}$ antiferromagnetic Heisenberg model, it reproduces the des Cloiseaux-Pearson Bethe ansatz result. As for spin-1, the spin-triplet magnon spectrum has been determined for the first time for the entire Brillouin zone, including the Haldane gap at $k=\pi$.

References in corpus (3)

• New method for the 3D Ising model
• New method for the quantum ground states in one dimension
• Entanglement perturbation theory for the quantum ground states in two dimensions

Cited by in corpus (10)

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• Encoding of Matrix Product States into Quantum Circuits of One- and Two-Qubit Gates
• Variational matrix product ansatz for dispersion relations
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• Scattering particles in quantum spin chains
• A matrix product state based algorithm for determining dispersion relations of quantum spin chains with periodic boundary conditions
• Quantum Dimensional Transition in Spin-$\frac{1}{2}$ Antiferromagnetic Heisenberg Model on A Square Lattice and Space Reduction in Matrix Product State
• Entanglement Perturbation Theory for Antiferromagnetic Heisenberg Spin Chains
• Entanglement Perturbation Theory for Infinite Quasi-1D Quantum Systems