Bethe-Ansatz for the two species totally asymmetric diffusion model

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Birgit Kauffmann, Purdue University
Jadwin Hall 343

We study the two species asymmetric diffusion model that describes two species and vacancies diffusing asymmetrically on a one-dimensional lattice. Our method is the algebraic Bethe Ansatz. We will explain this technique which we use to find the finite-size scaling behavior of the lowest lying eigenstates of the quantum Hamiltonian describing the model. This allows us to extract the dynamical critical exponent.