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Minimum-Time Transitions between Thermal Equilibrium States of the Quantum Parametric Oscillator (1603.01545v1)
Published 4 Mar 2016 in math.OC, cs.SY, and quant-ph
Abstract: In this article, we use geometric optimal control to completely solve the problem of minimum-time transitions between thermal equilibrium states of the quantum parametric oscillator, which finds applications in various physical contexts. We discover a new kind of optimal solutions, absent from all the previous treatments of the problem.