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Entanglement and R\'enyi entropies of (1+1)-dimensional O(3) nonlinear sigma model with tensor renormalization group

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arxiv 2308.02798 v3 pith:RTAOZSII submitted 2023-08-05 hep-th hep-latquant-ph

Xiao Luo , Yoshinobu Kuramashi This is my paper · ORCID
classification hep-thhep-latquant-ph
keywords entanglemententropiesenyidimensionalentropygroupmodelnonlinear
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abstract

We investigate the entanglement and R\'enyi entropies for the (1+1)-dimensional O(3) nonlinear sigma model using the tensor renormalization group method. The central charge is determined from the asymptotic scaling properties of both entropies. We also examine the consistency between the entanglement entropy and the $n$th-order R\'enyi entropy with $n\rightarrow 1$.

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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. Tensor renormalization group approach to entanglement entropy

    hep-lat 2025-09 conditional novelty 6.0 of 10

    A tensor renormalization group algorithm computes entanglement entropy for arbitrary single-interval subsystems and reproduces c=0.49997(8) in the 2D Ising model.

  2. Entanglement entropy by tensor renormalization group approach

    hep-lat 2025-02 conditional novelty 6.0 of 10

    A HOTRG-based algorithm computes entanglement entropy for arbitrary subsystem sizes and recovers the central charge c=0.49997(8) for the critical Ising chain.

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