Equipartition of the entanglement entropy
J. C. XavierInstituto de Física, Universidade Federal de Uberlândia, Caixa Postal 593, 38400-902 Uberlândia, MG, BrazilF C AlcarazInstituto de Física de São Carlos, Universidade de São Paulo, Caixa Postal 369, São Carlos, SP, BrazilGermán SierraInstituto de Física Teórica UAM/CSIC, Universidad Autónoma de Madrid, Cantoblanco 28049, Madrid, Spain
2018en
ABI
Abstract
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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