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Necklace Ansatz for strongly repulsive spin mixtures on a ring

Necklace Ansatz for strongly repulsive spin mixtures on a ring

We propose an alternative to the Bethe Ansatz method for strongly-interacting fermionic (or bosonic) mixtures on a ring. Starting from the knowledge of the solution for single-component non-interacting fermions (or strongly-interacting bosons), we explicitly impose periodic condition on the amplitudes of the spin configurations. This reduces drastically the number of …