2020/10/08 by Alejandro R. Ramos Ramos, Ramos, Alejandro R. Ramos, Oliver Kühn +1
Computer Science · Physics and Astronomy · #Chemical Physics (physics.chem-ph) #FOS: Physical sciences #Laser-Matter Interactions and Applications #Orbital Angular Momentum in Optics #Quantum Information and Cryptography #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2010.03825
openalex publication_date 2020/10/08 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
Optimal control theory is usually formulated as an indirect method requiring\nthe solution of a two-point boundary value problem. Practically, the solution\nis obtained by iterative forward and backward propagation of quantum\nwavepackets. Here, we propose direct optimal control as a robust and flexible\nalternative. It is based on a discretization of the dynamical equations\nresulting in a nonlinear optimization problem. The method is illustrated for\nthe case of laser-driven wavepacket dynamics in a bistable potential. The\nwavepacket is parameterized in terms of a single Gaussian function and field\noptimization is performed for a wide range of particle masses and lengths of\nthe control interval. Using the optimized field in a full quantum propagation\nstill yields reasonable control yields for most of the considered cases.\nAnalysis of the deviations leads to conditions which have to be fulfilled to\nmake the semiclassical single Gaussian approximation meaningful for field\noptimization.\n