0000000000409843

AUTHOR

Stéphane Vranckx

showing 2 related works from this author

Control of molecular dynamics with zero-area fields: Application to molecular orientation and photofragmentation

2014

The constraint of time-integrated zero-area on the laser field is a fundamental, both theoretical and experimental requirement in the control of molecular dynamics. By using techniques of local and optimal control theory, we show how to enforce this constraint on two benchmark control problems, namely molecular orientation and photofragmentation. The origin and the physical implications on the dynamics of this zero-area control field are discussed.

PhysicsQuantum PhysicsField (physics)Dynamics (mechanics)Zero (complex analysis)FOS: Physical sciences02 engineering and technology021001 nanoscience & nanotechnologyOptimal control01 natural sciencesAtomic and Molecular Physics and OpticsConstraint (information theory)Molecular dynamicsOrientation (geometry)0103 physical sciencesBenchmark (computing)Statistical physicsAtomic physicsQuantum Physics (quant-ph)010306 general physics0210 nano-technologyPhysical Review A
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External constraints on optimal control strategies in molecular orientation and photofragmentation: Role of zero-area fields

2013

We propose a new formulation of optimal and local control algorithms which enforces the constraint of time-integrated zero-area on the control field. The fulfillment of this requirement, crucial in many physical applications, is mathematically implemented by the introduction of a Lagrange multiplier aiming at penalizing the pulse area. This method allows to design a control field with an area as small as possible, while bringing the dynamical system close to the target state. We test the efficiency of this approach on two control purposes in molecular dynamics, namely, orientation and photodissociation.

Mathematical optimizationQuantum PhysicsField (physics)Computer scienceOrientation (computer vision)Control (management)FOS: Physical sciencesOptimal controlDynamical systemAtomic and Molecular Physics and OpticsConstraint (information theory)symbols.namesakeLagrange multipliersymbolsState (computer science)Quantum Physics (quant-ph)
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