2023/09/10 by Huan-Qiang Zhou, Zhou, Huan-Qiang, Yan-Wei Dai +7
Physics and Astronomy · #Quantum many-body systems #Theoretical and Computational Physics #Physics of Superconductivity and Magnetism
paper · pdf · doi:10.48550/arxiv.2309.04953
A generic scheme is proposed to perform a finite-entanglement scaling analysis for scale-invariant states, which appear to be highly degenerate ground states arising from spontaneous symmetry breaking with type-B Goldstone modes. This allows us to extract the number of type-B Goldstone modes and the dynamical critical exponent, in combination with a finite block-size scaling analysis, from numerical simulations of quantum many-body systems in the context of tensor network representations. The number of type-B Goldstone modes is identical to the fractal dimension, thus reflecting an abstract fractal underlying the ground state subspace. As illustrative examples, we investigate the spin-s Heisenberg ferromagnetic model, the \rmSU(3) ferromagnetic model and the \rmSO(4) spin-orbital model.