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Variational matrix product ansatz for dispersion relations

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arxiv 1103.2286 v3 pith:4PB3DPNR submitted 2011-03-11 quant-ph cond-mat.stat-mechcond-mat.str-el

Jutho Haegeman , Bogdan Pirvu , David J. Weir , J. Ignacio Cirac , Tobias J. Osborne , Henri Verschelde , Frank Verstraete This is my paper · ORCID
classification quant-phcond-mat.stat-mechcond-mat.str-el
keywords ansatzvariationalantiferromagnetmatrixproductspin-1accurateallows
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A variational ansatz for momentum eigenstates of translation invariant quantum spin chains is formulated. The matrix product state ansatz works directly in the thermodynamic limit and allows for an efficient implementation (cubic scaling in the bond dimension) of the variational principle. Unlike previous approaches, the ansatz includes topologically non-trivial states (kinks, domain walls) for systems with symmetry breaking. The method is benchmarked using the spin-1/2 XXZ antiferromagnet and the spin-1 Heisenberg antiferromagnet and we obtain surprisingly accurate results.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Real-Time Scattering in Ising Field Theory using Matrix Product States

    hep-th 2024-11 conditional novelty 7.0 of 10

    Matrix product state simulations of real-time scattering in Ising Field Theory reproduce perturbative results near free fermion and E8 limits and support a conjectured crossover in high-energy elastic versus inelastic...

  2. Les Houches Lecture Notes on Tensor Networks

    cond-mat.str-el 2025-12 unverdicted novelty 2.0 of 10

    A well-organized five-lecture review of tensor networks (MPS/PEPS/MPO) covering algorithms, phase classification, string-nets, strange correlators, and dualities; it contains no new research results.

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