Time-Optimal Frictionless Atom Cooling in Harmonic Traps

Mathematics – Optimization and Control

Scientific paper

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Submitted to 51st IEEE Conference on Decision and Control as a SIAM regular paper, it is a shorter version of our recently pub

Scientific paper

Frictionless atom cooling in harmonic traps is formulated as a time-optimal control problem and a synthesis of optimal controlled trajectories is obtained. This work has already been used to determine the minimum time for transition between two thermal states and to show the emergence of the third law of classical thermodynamics from quantum thermodynamics. It can also find application in the fast adiabatic-like expansion of Bose-Einstein condensates, with possible applications in atom interferometry. This paper is based on our recently published article in SIAM J. Control Optim.

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