1-Form Symmetric Projected Entangled-Pair States - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2024

1-Form Symmetric Projected Entangled-Pair States

Yi Tan
  • Fonction : Auteur
Ji-Yao Chen
Fei Ye
  • Fonction : Auteur
Jia-Wei Mei
  • Fonction : Auteur

Résumé

The 1-form symmetry, manifesting as loop-like symmetries, has gained prominence in the study of quantum phases, deepening our understanding of symmetry. However, the role of 1-form symmetries in Projected Entangled-Pair States (PEPS), two-dimensional tensor network states, remains largely underexplored. We present a novel framework for understanding 1-form symmetries within tensor networks, specifically focusing on the derivation of algebraic relations for symmetry matrices on the PEPS virtual legs. Our results reveal that 1-form symmetries impose stringent constraints on tensor network representations, leading to distinct anomalous braiding phases carried by symmetry matrices. We demonstrate how these symmetries influence the ground state and tangent space in PEPS, providing new insights into their physical implications for enhancing ground state optimization efficiency and characterizing the 1-form symmetry structure in excited states.

Dates et versions

hal-04679915 , version 1 (28-08-2024)

Identifiants

Citer

Yi Tan, Ji-Yao Chen, Didier Poilblanc, Fei Ye, Jia-Wei Mei. 1-Form Symmetric Projected Entangled-Pair States. 2024. ⟨hal-04679915⟩
0 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More