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Abstract: We study the dynamical correlation functions of the Richardson pairing modelalso known as the reduced or discrete-state BCS model in the canonicalensemble. We use the Algebraic Bethe Ansatz formalism, which gives exactexpressions for the form factors of the most important observables. By summingthese form factors over a relevant set of states, we obtain very preciseestimates of the correlation functions, as confirmed by global sum-rulessaturation above 99% in all cases considered. Unlike the case of many otherBethe Ansatz solvable theories, simple two-particle states are sufficient toachieve such saturations, even in the thermodynamic limit. We provide explicitresults at half-filling, and discuss their finite-size scaling behavior.



Author: Alexandre Faribault, Pasquale Calabrese, Jean-Sebastien Caux

Source: https://arxiv.org/



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