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Supersymmetric Models for Fermions on a Lattice

We investigate the large-N behaviour of simple examples of supersymmetric interactions for fermions on a lattice. Witten's supersymmetric quantum mechanics and the BCS model appear just as two different aspects of one and the same model. For the BCS model, supersymmetry is only respected in a coherent superposition of Bogoliubov states. In this coherent superposition mesoscopic observables show better stability properties than in a Bogoliubov state.

preprint2005arXivOpen access

Nevena Ilieva Heide Narnhofer Walter Thirring

quant-ph

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Nevena Ilieva Heide Narnhofer Walter Thirring

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