×

Quantum Hamiltonian and dipole moment identification in presence of large control perturbations. (English) Zbl 1364.93156

Summary: The problem of recovering the Hamiltonian and dipole moment is considered in a bilinear quantum control framework. The process uses as inputs some measurable quantities (observables) for each admissible control. If the implementation of the control is noisy the data available is only in the form of probability laws of the measured observable. Nevertheless it is proved that the inversion process still has unique solutions (up to phase factors). Both additive and multiplicative noises are considered. Numerical illustrations support the theoretical results.

MSC:

93B30 System identification
81Q93 Quantum control
93B07 Observability
35Q41 Time-dependent Schrödinger equations and Dirac equations

Software:

Octave
PDFBibTeX XMLCite
Full Text: DOI