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## A classification of gapped Hamiltonians in $d=1$ Bachmann, Sven | CIRM H

Multi angle

Research talks;Mathematical Physics

A quantum phase transition is commonly referred to as a point in a family of gapped Hamiltonians where the spectral gap closes. In the absence of a general perturbation theory for quantum spin systems in the thermodynamic limit, I will discuss necessary, and sufficient, conditions for a transition, and present explicit constructions of paths of uniformly gapped Hamiltonians in one dimension.

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Ressources Electroniques (Depuis le CIRM)

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