Stuttgart 2012 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 25: Quanteninformation: Konzepte und Methoden 3

Q 25.7: Talk

Tuesday, March 13, 2012, 12:00–12:15, V7.01

Perturbation Theory for Parent Hamiltonians of Matrix Product States — •Oleg Szehr and Michael Wolf — Technische Universität München, 85748 Garching, Germany

We consider generic Matrix Product States together with their canonical Parent Hamiltonians and analyze the stability of the spectral gap of such Hamiltonians under translation-invariant and local perturbations. Our results provide a perturbation theory for such Hamiltonians extending on the results by D. A. Yarotsky for the AKLT model.