Quasi-particles in weak perturbations of non-interacting quantum lattice systems

Details Quasi-particles in weak perturbations of non-interacting quantum lattice systems Quasi-particles in weak perturbations of non-interacting quantum lattice systems

2004-11-11

arxiv.org/abs/math-ph/0411042v1

Physics

Mathematical Physics

17 pages

Scientific paper

We consider a general weak perturbation of a non-interacting quantum lattice
system with a non-degenerate gapped ground state. We prove that the presence of
isolated eigenvalues in the spectrum of the decoupled model leads to the
existence of quasi-particles in the perturbed model. Also, a scattering theory
for asymptotically free many-particle states is developed.

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