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Classical simulation of infinite-size quantum lattice systems in one spatial dimension

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arxiv cond-mat/0605597 v2 pith:F4JD6HED submitted 2006-05-24 cond-mat.str-el quant-ph

G. Vidal This is my paper · ORCID
classification cond-mat.str-elquant-ph
keywords latticequantumsimulationsystemsclassicalcomputationconsidereddimension
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Invariance under translation is exploited to efficiently simulate one-dimensional quantum lattice systems in the limit of an infinite lattice. Both the computation of the ground state and the simulation of time evolution are considered.

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Cited by 3 Pith papers

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

  1. Quantum dynamics of cosmological particle production: interacting quantum field theories with matrix product states

    hep-th 2026-01 unverdicted novelty 7.0 of 10

    Self-interactions in scalar and gauge theories suppress gravitational particle production in a quench modeling cosmic expansion, as computed with tensor networks.

  2. Infinite matrix product states for $(1+1)$-dimensional gauge theories

    hep-th 2025-08 unverdicted novelty 7.0 of 10

    A matrix product operator construction using link-enhanced MPOs enables infinite-lattice simulations of (1+1)D gauge theories with manifest translation invariance and symmetry.

  3. Critical behavior of the Schwinger model via gauge-invariant VUMPS

    hep-lat 2024-12 conditional novelty 6.0 of 10

    The gauge-invariant VUMPS algorithm determines the continuum critical mass of the Schwinger model as (m/g)c = 0.333556(5) and produces data collapse consistent with Ising critical exponents.

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