6533b837fe1ef96bd12a2e15
RESEARCH PRODUCT
Developement of new techniques of Optimal Control in Quantum Dynamics : from nuclear magnetic resonance to molecular physics
Marc Lapertsubject
Résonance magnétique nucléaire (RMN)[ PHYS.QPHY ] Physics [physics]/Quantum Physics [quant-ph]Nuclear Magnetic Resonance (NMR)Optimal Control[ MATH.MATH-GM ] Mathematics [math]/General Mathematics [math.GM]Magnetic Resonance Imaging (MRI)Contrôle localAlgorithme de KrotovAlgorithme monotoneBosonic Josephson Junction (BJJ)Pontryagin Maximum Principle (PMP)[MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM][PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph][PHYS.COND.CM-GEN] Physics [physics]/Condensed Matter [cond-mat]/Other [cond-mat.other]Krotov AlgorithmLocal Control[PHYS.QPHY] Physics [physics]/Quantum Physics [quant-ph]Alignement moléculaireMonotonic AlgorihtmJonction Josephon bosonique[MATH.MATH-GM] Mathematics [math]/General Mathematics [math.GM][ PHYS.COND.CM-GEN ] Physics [physics]/Condensed Matter [cond-mat]/Other [cond-mat.other]Imagerie par résonance magnétique (IRM)Quantum ControlMolecular Alignment[PHYS.COND.CM-GEN]Physics [physics]/Condensed Matter [cond-mat]/Other [cond-mat.other]Contrôle optimalPrincipe du maximum de Pontryagin (PMP)GRAPEContrôle quantiquedescription
The goal of this thesis is to apply the optimal control theory to the dynamics of quantum systems.The first part aim at introducing the tools of optimal control in quantum control which were initially developedin mathematics. This approch has been applied on different kinds of quantum system with small and largedimensions. The first part of this manuscript introduces the optimal control tools which are used with a pointof view suited to a public of physicists. In the second part these techniques are used to control the dynamics ofspins in NMR and MRI. The third part deals with the development of new iterative algorithms applied to thecontrol by laser fields of the rotational dynamics of linear molecules in a gaz phases and the development of asimple control strategy allowing to delocalize a molecule in a plan. The fourth part treats the time-minimumcontrol of a two-component Bose Einstein condensate. The last part compares the different optimal controlmethods used qualitatively and quantitatively. The solution found in the second and third parts have been alsoapplied experimentally.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-10-12 |