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hal-00536535, version 1

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

Herschel Rabitz 1, Gabriel Turinici () 2

Physical review A: Atomic, Molecular and Optical Physics 75, 4 (2007) 043409

Abstract: 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.

  • 1:  Princeton University
  • Princeton University
  • 2:  CEntre de REcherches en MAthématiques de la DEcision (CEREMADE)
  • CNRS : UMR7534 – Université Paris IX - Paris Dauphine
  • Domain : Mathematics/Numerical Analysis
    Physics/Quantum Physics
    Mathematics/Optimization and Control
 
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  • Submitted on: Tuesday, 9 April 2013 22:05:59
  • Updated on: Wednesday, 10 April 2013 09:12:05