Visualization of Entanglement Geometry by Structural Optimization of Tree Tensor Network
Statistical Mechanics
2025-11-19 v2 High Energy Physics - Lattice
High Energy Physics - Theory
Quantum Physics
Abstract
In tensor-network analysis of quantum many-body systems, it is of crucial importance to employ a tensor network with a spatial structure suitable for representing the state of interest. In the previous work [Hikihara et al., Phys. Rev. Research 5, 013031 (2023)], we proposed a structural optimization algorithm for tree-tensor networks. In this paper, we apply the algorithm to the Rainbow-chain model, which has a product state of singlet pairs between spins separated by various distances as an approximate ground state. We then demonstrate that the algorithm can successfully visualize the spatial pattern of spin-singlet pairs in the ground state.
Keywords
Cite
@article{arxiv.2401.16000,
title = {Visualization of Entanglement Geometry by Structural Optimization of Tree Tensor Network},
author = {Toshiya Hikihara and Hiroshi Ueda and Kouichi Okunishi and Kenji Harada and Tomotoshi Nishino},
journal= {arXiv preprint arXiv:2401.16000},
year = {2025}
}
Comments
v2: 10 pages, 5 figures, 1 table, accepted version