Optimal control in laser-induced population transfer for two- and three-level quantum systems

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Training Schrödinger’s cat: quantum optimal control (2015, methodology): “Both analytical and numerical methods have been proven very effective for two- and three-level systems [6, 35, 35, 38, 41, 42, 43, 135, 138, 139, 233, 238, 239, 286, 381, 384, 385, 386, 400, 403, 465], two uncoupled spins [15, 16], and two coupled spins [29, 116, 163, 204, 208, 338, 432, 457].”
Quantum control theory and applications: A survey (2009, unknown): “Recently, time-optimal control problems for spin systems have been solved to achieve speciﬁed control objectives in minimum time [35], [36], [37].”
A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds (2006, background): “A simple example can be found in the literature and arises from a model of control of quantum systems (see [7, 8 ]).”
Lipschitz Classification of Almost-Riemannian Distances on Compact Oriented Surfaces (2010, background): “Another example of almost-Riemannian structure appeared in problems of control of quantum mechanical systems (see [11, 12]).”
Normal forms and invariants for 2-dimensional almost-Riemannian structures (2010, background): “They appeared in problems of population transfer in quantum systems [15, 16, 17] and have applications to orbital transfer in space mechanics [11, 12].”