Supersymmetric Models for Fermions on a Lattice

Details Supersymmetric Models for Fermions on a Lattice Supersymmetric Models for Fermions on a Lattice

2005-02-16

arxiv.org/abs/quant-ph/0502100v1

Fortsch.Phys. 54 (2006) 124-138

Physics

Quantum Physics

17 pages, LATeX, no figures

Scientific paper

10.1002/prop.200510261

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.

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