Even-length antiferromagnetic ground state of the critical golden chain carries exact Fibonacci cut-charge weights P_tau/P_1=phi^2 and boundary entropy log g=log phi for the duality defect.
Entanglement spectrum in one-dimensional systems
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abstract
We derive the distribution of eigenvalues of the reduced density matrix of a block of length l in a one-dimensional system in the scaling regime. The resulting "entanglement spectrum" is described by a universal scaling function depending only on the central charge of the underlying conformal field theory. This prediction is checked against exact results for the XX chain. We also show how the entanglement gap closes when l is large.
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2026 1verdicts
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Entanglement fingerprint of a non-invertible symmetry: exact Fibonacci cut charges on the lattice
Even-length antiferromagnetic ground state of the critical golden chain carries exact Fibonacci cut-charge weights P_tau/P_1=phi^2 and boundary entropy log g=log phi for the duality defect.