Journal of Mathematical Physics

Integrability of the quantum adiabatic evolution and geometric phases

Gianni Cassinelli, Ernesto De Vito, Alberto Levrero

Published Dec 1, 1997• 2 citations

Abstract

We show that the cyclic adiabatic evolution of a quantum system is completely integrable as a classical Hamiltonian system. In this context the Berry phases arise naturally as cohomology of the invariant tori.

DOI: 10.1063/1.532204

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