Toward Entanglement Bootstrap for Conformal Field Theory in Any Dimension

Abstract:Given a quantum critical wavefunction in any dimension, we propose a reconstructed Hamiltonian, analogous to the ones previously found for 1+1d CFT and for 2+1d bosonic liquid topologically-ordered states. We test numerically that, for known regularized approximate CFT groundstates (on the icosahedron and the fuzzy sphere), (1) they are close to the groundstate of their reconstructed Hamiltonian, and (2) the spectrum of their reconstructed Hamiltonian on the unit sphere has CFT properties (integer spacing of descendants) and matches known low-lying energies. We show that this provides an automated method to improve the finite-size effects in a fixed Hilbert space.

High Energy Physics - Theory (hep-th); Strongly Correlated Electrons (cond-mat.str-el); Quantum Physics (quant-ph)

arXiv:2606.12540 [hep-th]

(or arXiv:2606.12540v1 [hep-th] for this version)

https://doi.org/10.48550/arXiv.2606.12540 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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