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Universal scaling of Klein bottle entropy near conformal critical points

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  • ERQUAF (Entanglement and Renormalisation for Quantum Fields)
Abstract
We show that the Klein bottle entropy [Phys. Rev. Lett. 119, 261603 (2017)] for conformal field theories (CFTs) perturbed by a relevant operator is a universal function of the dimensionless coupling constant. The universal scaling of the Klein bottle entropy near criticality provides an efficient approach to extract the scaling dimension of lattice operators via data collapse. As paradigmatic examples, we validate the universal scaling of the Klein bottle entropy for Ising and Z3 parafermion CFTs with various perturbations using numerical simulation with continuous matrix product operator approach.
Keywords
General Physics and Astronomy, ISING-MODEL, SPECTRUM

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MLA
Zhang, Yueshui, et al. “Universal Scaling of Klein Bottle Entropy near Conformal Critical Points.” PHYSICAL REVIEW LETTERS, vol. 130, no. 15, 2023, doi:10.1103/physrevlett.130.151602.
APA
Zhang, Y., Hulsch, A., Zhang, H.-C., Tang, W., Wang, L., & Tu, H.-H. (2023). Universal scaling of Klein bottle entropy near conformal critical points. PHYSICAL REVIEW LETTERS, 130(15). https://doi.org/10.1103/physrevlett.130.151602
Chicago author-date
Zhang, Yueshui, Anton Hulsch, Hua-Chen Zhang, Wei Tang, Lei Wang, and Hong-Hao Tu. 2023. “Universal Scaling of Klein Bottle Entropy near Conformal Critical Points.” PHYSICAL REVIEW LETTERS 130 (15). https://doi.org/10.1103/physrevlett.130.151602.
Chicago author-date (all authors)
Zhang, Yueshui, Anton Hulsch, Hua-Chen Zhang, Wei Tang, Lei Wang, and Hong-Hao Tu. 2023. “Universal Scaling of Klein Bottle Entropy near Conformal Critical Points.” PHYSICAL REVIEW LETTERS 130 (15). doi:10.1103/physrevlett.130.151602.
Vancouver
1.
Zhang Y, Hulsch A, Zhang H-C, Tang W, Wang L, Tu H-H. Universal scaling of Klein bottle entropy near conformal critical points. PHYSICAL REVIEW LETTERS. 2023;130(15).
IEEE
[1]
Y. Zhang, A. Hulsch, H.-C. Zhang, W. Tang, L. Wang, and H.-H. Tu, “Universal scaling of Klein bottle entropy near conformal critical points,” PHYSICAL REVIEW LETTERS, vol. 130, no. 15, 2023.
@article{01HHG01QVHXHYNEBTDHT7QXV2R,
  abstract     = {{We show that the Klein bottle entropy [Phys. Rev. Lett. 119, 261603 (2017)] for conformal field theories (CFTs) perturbed by a relevant operator is a universal function of the dimensionless coupling constant. The universal scaling of the Klein bottle entropy near criticality provides an efficient approach to extract the scaling dimension of lattice operators via data collapse. As paradigmatic examples, we validate the universal scaling of the Klein bottle entropy for Ising and Z3 parafermion CFTs with various perturbations using numerical simulation with continuous matrix product operator approach.}},
  articleno    = {{151602}},
  author       = {{Zhang, Yueshui and Hulsch, Anton and Zhang, Hua-Chen and Tang, Wei and Wang, Lei and Tu, Hong-Hao}},
  issn         = {{0031-9007}},
  journal      = {{PHYSICAL REVIEW LETTERS}},
  keywords     = {{General Physics and Astronomy,ISING-MODEL,SPECTRUM}},
  language     = {{eng}},
  number       = {{15}},
  pages        = {{6}},
  title        = {{Universal scaling of Klein bottle entropy near conformal critical points}},
  url          = {{http://doi.org/10.1103/physrevlett.130.151602}},
  volume       = {{130}},
  year         = {{2023}},
}

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