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Abstract: We study the energy level spacing of perturbed conformal minimal models infinite volume, considering perturbations of such models that are massive butnot necessarily integrable. We compute their spectrum using a renormalizationgroup improved truncated conformal spectrum approach. With this method we areable to study systems where more than 40000 states are kept and where wedetermine the energies of the lowest several thousand eigenstates with highaccuracy. We find, as expected, that the level spacing statistics of integrableperturbed minimal models are Poissonian while the statistics of non-integrableperturbations are GOE-like. However by varying the system size and socontrolling the positioning of the theory between its IR and UV limits one caninduce crossovers between the two statistical distributions.



Autor: G. P. Brandino, R. M. Konik, G. Mussardo

Fuente: https://arxiv.org/







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