Visualization of Entanglement Geometry by Structural Optimization of Tree Tensor Network
arxiv(2024)
摘要
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.
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