Quantum control of nuclear wave packets by locally designed optimal pulses

Abstract

A hybrid local/global optimal control algorithm for dissipative systems with time-dependent targets: Formulation and application to relaxing adsorbates J. Chem. Phys. 128, 074104 (2008); 10.1063/1.2830709Rapid motion capture of mode-specific quantum wave packets selectively generated by phase-controlled optical pulses

Reference Trajectory Tracking for Locally Designed Coherent Quantum Controls

“…[1][2][3][4]11,13,35 Very often, control of quantum phenomena is expressed as the minimization of a setting-dependent cost functional that describes the goal to be attained and the eventual penalties to consider. Three types of generic minimization procedures have been used in the literature: stochastic iterative approaches (e.g., genetic algorithms), 7,15 iterative critical point methods that use adjoint state information and give rise to monotonic algorithms, 10,17,29,32,36 and tracking or local control procedures 6,8,12,16,20,30,31 that obtain explicitly the control field from the prescribed trajectory that the system is required to take (and devise additional techniques to avoid eventual singularities). The advantage of this last class of methods is that it only requires one (or few) propagations of the time-dependent Schrödinger equation (TDSE); when larger systems are to be treated, this property may prove crucial for the numerical tractability of the simulations.…”

Constructive control of quantum systems using factorization of unitary operators

“…Learning control based on genetic or evolutionary algorithms [35,36,37,38,39,40] has been a useful tool for quantum control, especially for complex problems for which accurate models are not available and in experimental settings [41,42]. Other approaches based on local control techniques [43] or a hydrodynamical formulation [44] have been suggested as well, and this list is not exhaustive.…”

Dynamic matter-wave pulse shaping

“…The flexibility of these control schemes, like Optimal Control Theory (OCT) [7][8][9][10][11][12][13] or some stochastic schemes [14][15][16], stems from the fact that laser pulses can be shaped in many different ways, by employing chirping, pulse trains, etc. Recently a different approach to coherent control has emerged, which relies on the coherent properties of matter-waves.…”