|国家预印本平台
首页|Symmetrizing the Constraints -- Density Matrix Renormalization Group for Constrained Lattice Models

Symmetrizing the Constraints -- Density Matrix Renormalization Group for Constrained Lattice Models

Symmetrizing the Constraints -- Density Matrix Renormalization Group for Constrained Lattice Models

来源:Arxiv_logoArxiv
英文摘要

We develop a density matrix renormalization group (DMRG) algorithm for constrained quantum lattice models that successfully {\it{implements the local constraints as symmetries in the contraction of the matrix product states and matrix product operators}}. Such an implementation allows us to investigate a quantum dimer model in DMRG for any lattice geometry wrapped around a cylinder with substantial circumference. We have thence computed the ground state phase diagram of the quantum dimer model on triangular lattice, with the symmetry-breaking characteristics of the columnar solid phase and $\sqrt{12}\times\sqrt{12}$ valence bond solid phase fully captured, as well as the topological entanglement entropy of the $\mathbb{Z}_2$ quantum spin liquid phase that extends to the RK point on non-bipartite lattice accurately revealed. Our DMRG algorithm on constrained quantum lattice models opens new opportunities for matrix and tensor-based algorithms for these systems that have immediate relevance towards the frustrated quantum magnets and synthetic quantum simulators.

Ting-Tung Wang、Xiaoxue Ran、Zi Yang Meng

物理学

Ting-Tung Wang,Xiaoxue Ran,Zi Yang Meng.Symmetrizing the Constraints -- Density Matrix Renormalization Group for Constrained Lattice Models[EB/OL].(2025-04-04)[2025-07-02].https://arxiv.org/abs/2504.04035.点此复制

评论