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The AKLT model and perturbations of lattice spin systems

Mathematical Physics & Probability

Speaker: Dmitry Yarotsky, Dublin
Location: 693 Kerr
Start time: Fri, May 20 2005, 4:10PM

We develop an analytic perturbation theory for the ground state of a quantum lattice model, in the case when this model is a relatively bounded perturbation of a non-interacting system. As the main application, we prove that a small perturbation of the AKLT model has an exponentially clustering, gapped ground state.