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Post-Matrix Product State Methods: To tangent space and beyond

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arxiv 1305.1894 v1 pith:A5326ZMY submitted 2013-05-08 quant-ph cond-mat.str-el

classification quant-phcond-mat.str-el
keywords producttangentbeyonddiscussmatrixmethodsspacestates
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We develop in full detail the formalism of tangent states to the manifold of matrix product states, and show how they naturally appear in studying time-evolution, excitations and spectral functions. We focus on the case of systems with translation invariance in the thermodynamic limit, where momentum is a well defined quantum number. We present some new illustrative results and discuss analogous constructions for other variational classes. We also discuss generalizations and extensions beyond the tangent space, and give a general outlook towards post matrix product methods.

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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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