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Thermal evolution of the Schwinger model with Matrix Product Operators

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arxiv 1505.00279 v1 pith:4LEMOKDG submitted 2015-05-01 hep-lat quant-ph

Thermal evolution of the Schwinger model with Matrix Product Operators

classification hep-lat quant-ph
keywords latticethermalevolutionmatrixmodeloperatorsproductschwinger
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We demonstrate the suitability of tensor network techniques for describing the thermal evolution of lattice gauge theories. As a benchmark case, we have studied the temperature dependence of the chiral condensate in the Schwinger model, using matrix product operators to approximate the thermal equilibrium states for finite system sizes with non-zero lattice spacings. We show how these techniques allow for reliable extrapolations in bond dimension, step width, system size and lattice spacing, and for a systematic estimation and control of all error sources involved in the calculation. The reached values of the lattice spacing are small enough to capture the most challenging region of high temperatures and the final results are consistent with the analytical prediction by Sachs and Wipf over a broad temperature range.

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Cited by 3 Pith papers

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

    hep-th 2025-08 unverdicted novelty 7.0

    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. Algorithmic Aspects of Gauged Gaussian Fermionic PEPS: Gauge Fixing and Translation Invariance

    hep-lat 2025-12 conditional novelty 6.0

    For Z2 GGFPEPS Monte Carlo in 2+1D, updating 1/4–1/2 of links per step is fastest in wall-clock time, gauge fixing generally slows convergence, and explicit spatial averaging helps the magnetic energy error.