Quantum adiabatic cycles and their breakdown

Abstract

While the Landau-Zener problem is conventionally used to describe defects formation in quantum systems, it cannot be applied to non-interacting Bose excitations as the adiabatic perturbation theory assumptions are violated by Bose statistics. Here, the author investigates adiabatic cycles across quantum critical points with harmonic Bose quasi-particles and shows that adiabaticity breakdown is a universal feature of these systems