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Tangent space to the manifold of critical classical Hamiltonians representable by tensor networks.

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We introduce a scheme to perform Monte Carlo renormalization group with the coupling constants of the system Hamiltonian encoded in a tensor network. With this scheme we compute the tangent… Click to show full abstract

We introduce a scheme to perform Monte Carlo renormalization group with the coupling constants of the system Hamiltonian encoded in a tensor network. With this scheme we compute the tangent space to the manifold of the critical Hamiltonians representable by a tensor network at the nearest-neighbor critical coupling for three models: the two- and three-dimensional Ising models and the two-dimensional three-state Potts model.

Keywords: space manifold; tensor; tangent space; manifold critical; hamiltonians representable; representable tensor

Journal Title: Physical review. E
Year Published: 2019

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