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Article Dans Une Revue Journal of Physics A General Physics (1968-1972) Année : 2014

Newton algorithm for Hamiltonian characterization in quantum control

Résumé

We propose a Newton algorithm to characterize the Hamiltonian of a quantum system interacting with a given laser field. The algorithm is based on the assumption that the evolution operator of the system is perfectly known at a fixed time. The computational scheme uses the Crank–Nicholson approximation to explicitly determine the derivatives of the propagator with respect to the Hamiltonians of the system. In order to globalize this algorithm, we use a continuation method that improves its convergence properties. This technique is applied to a two-level quantum system and to a molecular one with a double-well potential. The numerical tests show that accurate estimates of the unknown parameters are obtained in some cases. We discuss the numerical limits of the algorithm in terms of the basin of convergence and the non-uniqueness of the solution.

Dates et versions

hal-01097437 , version 1 (19-12-2014)

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Mamadou Ndong, Julien Salomon, Dominique Sugny. Newton algorithm for Hamiltonian characterization in quantum control. Journal of Physics A General Physics (1968-1972), 2014, 47 (26), pp.265302. ⟨10.1088/1751-8113/47/26/265302⟩. ⟨hal-01097437⟩
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