Optimal Control of Dissipative Quantum Systems

6533b7d2fe1ef96bd125f1d5

RESEARCH PRODUCT

Optimal Control of Dissipative Quantum Systems

subject

Lindblad master equation principe du maximum de Pontryagin Pontryagin maximum principle ensemble accessible [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph][ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph][PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph]contrôle quantique quantum control équation pilote de Lindblad attainable set alignement moléculaire molecular alignment

description

We study the control of finite dimensional quantum systems by external laser fields. After examining the concrete example of the diatomic molecular alignment in dissipative media, we are interested in the problem of optimal control, where the objective is to bring the system from an initial state into a given final state while minimizing a cost functional. The Pontryagin maximum principle (PMP) provides necessary conditions for optimality, by establishing that any optimal trajectory is the extremal solution of an extended problem of Hamiltonian structure. In this context, we perform the analysis of two particular systems. The first one is a dissipative 2-level system, for which we determine the set of time optimal trajectories; the second one is a not completely controllable conservative 3-level system, where a projective measure allows one to assist the control process.

year	journal	country	edition	language
2008-09-15

https://tel.archives-ouvertes.fr/tel-00325098

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