A new framework computes generalized charged moments and symmetry-resolved Rényi entropies for arbitrary excited states of the free compact boson CFT, benchmarked against the XX chain.
Shell-Filling Effect in the Entanglement Entropies of Spinful Fermions
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abstract
We consider the von Neumann and R\'enyi entropies of the one dimensional quarter-filled Hubbard model. We observe that for periodic boundary conditions the entropies exhibit an unexpected dependence on system size: for L=4 mod 8 the results are in agreement with expectations based on conformal field theory, while for L=0 mod 8 additional contributions arise. We explain this observation in terms of a shell-filling effect, and develop a conformal field theory approach to calculate the extra term in the entropies. Similar shell filling effects in entanglement entropies are expected to be present in higher dimensions and for other multicomponent systems.
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On symmetry-resolved generalized entropies
A new framework computes generalized charged moments and symmetry-resolved Rényi entropies for arbitrary excited states of the free compact boson CFT, benchmarked against the XX chain.