Equipartition of the entanglement entropy

The authors present a derivation of finite-size corrections to entanglement entropies that possess an internal symmetry. They show that entanglement entropy is equally distributed among the different sectors of that internal symmetry. Its value is given by the standard area-law-violating logarithmic term, which depends on the central charge $c$, minus a double logarithmic correction related to the zero-temperature susceptibility. They present a very efficient way to determine the central charge and the Luttinger parameter. This opens the possibility that the measurement of these quantities can be successfully pursued in an optical lattice. The analytical predictions are verified against numerical results obtained by DMRG.

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