Search results for "Hamiltonian singularities"

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Sur le rôle des singularités hamiltoniennes dans les systèmes contrôlés : applications en mécanique quantique et en optique non-linéaire.

2012

This thesis has two goals: the first one is to improve the control techniques in quantum mechanics, and more specifically in NMR, by using the tools of geometric optimal control. The second one is the study of the influence of Hamiltonian singularities in controlled systems. The chapter about optimal control study three classical problems of NMR : the inversion problem, the influence of the radiation damping term, and the steady state technique. Then, we apply the geometric optimal control to the problem of the population transfert in a three levels quantum system to recover the STIRAP scheme.The two next chapters study Hamiltonian singularities. We show that they allow to control the polar…

[PHYS.PHYS.PHYS-OPTICS] Physics [physics]/Physics [physics]/Optics [physics.optics][PHYS.PHYS.PHYS-OPTICS]Physics [physics]/Physics [physics]/Optics [physics.optics]Nonlinear optics[ PHYS.PHYS.PHYS-OPTICS ] Physics [physics]/Physics [physics]/Optics [physics.optics][ PHYS.QPHY ] Physics [physics]/Quantum Physics [quant-ph]Polarization attractionContrôle optimal géométrique[ MATH.MATH-GM ] Mathematics [math]/General Mathematics [math.GM]Quantum control[ PHYS.COND.CM-GEN ] Physics [physics]/Condensed Matter [cond-mat]/Other [cond-mat.other]Geometric optimal controloptique non-linéaireHamiltonian singularities[MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM]monodromie hamiltonienneattraction de polarisation[PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph]singularités hamiltoniennes[PHYS.COND.CM-GEN]Physics [physics]/Condensed Matter [cond-mat]/Other [cond-mat.other]contrôle quantique[PHYS.QPHY] Physics [physics]/Quantum Physics [quant-ph]Hamiltonian monodromy
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About the role of hamiltonian singularities in controlled systems : applications in quantum mechanics and nonlinear optics

2012

This thesis has two goals: the first one is to improve the control techniques in quantum mechanics, and more specifically in NMR, by using the tools of geometric optimal control. The second one is the study of the influence of Hamiltonian singularities in controlled systems. The chapter about optimal control study three classical problems of NMR : the inversion problem, the influence of the radiation damping term, and the steady state technique. Then, we apply the geometric optimal control to the problem of the population transfert in a three levels quantum system to recover the STIRAP scheme.The two next chapters study Hamiltonian singularities. We show that they allow to control the polar…

Monodromie hamiltonienneNonlinear opticsPolarization attractionContrôle optimal géométrique[ MATH.MATH-GM ] Mathematics [math]/General Mathematics [math.GM][MATH.MATH-GM] Mathematics [math]/General Mathematics [math.GM]Quantum control[ PHYS.COND.CM-GEN ] Physics [physics]/Condensed Matter [cond-mat]/Other [cond-mat.other]Geometric optimal controlHamiltonian singularitiesSingularités hamiltoniennes[MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM]Optique non-linéaire[PHYS.COND.CM-GEN] Physics [physics]/Condensed Matter [cond-mat]/Other [cond-mat.other][PHYS.COND.CM-GEN]Physics [physics]/Condensed Matter [cond-mat]/Other [cond-mat.other]Attraction de polarisationHamiltonian monodromyContrôle quantique
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