Controlling quantum dynamics regardless of laser beam spatial profile and molecular orientation

Herschel Rabitz (1) , Gabriel Turinici (2)

1 Princeton University
2 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

In a typical experiment aiming to control quantum dynamics phenomena each molecule experiences the same temporal laser field, but with an amplitude that depends on the spatial location and orientation of the molecule in the laser beam. It is proved under commonly arising conditions that at least one optimal laser field exists which will control all molecules in the sample, regardless of their orientation or spatial location. The optimal laser field may consist of a multipolarization control containing up to three orthogonal independently shaped components. The analysis also includes the prospect of multi-partite control where the field couples distinct groupings of states (e.g., multiple vibronic states), but without direct coupling within a group of states. This conclusion shows that achieving quantum control is not a matter of striking a compromise over the sample diversity, but rather a task subject to optimization to reach the highest possible level of control for all molecules in the sample.

Domaines: Analyse numérique [math.NA]; Physique Quantique [quant-ph]; Optimisation et contrôle [math.OC]

Herschel Rabitz, Gabriel Turinici. Controlling quantum dynamics regardless of laser beam spatial profile and molecular orientation. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2007, 75 (4), pp.043409. ⟨hal-00536535⟩