Geometric optimal control of dissipative quantum systems

Cyrill Kontz, Dominique Sugny, Hans Rudolf Jauslin

Bernard Bonnard A, Dominique Sugny

Dominique Sugny

Dominique Sugny, Bernard Bonnard A

The objective of this article is to present techniques of geometric time-optimal control developed to analyze the control of two-level dissipative quantum systems. Combined with numerical simulations they allow to compute the time-minimal control using a shooting method. The robustness with respect to initial conditions and dissipative parameters is also analyzed using a continuation method.

M. Lapert, Elie Assémat, Y. Zhang +2 more

We analyze the time-optimal control of spin-1/2 particles with bounded field amplitudes in the presence of dissipative and radiation damping effects. Using tools of geometric optimal control theory, we determine different optimal syntheses for specific values of the system parameters. We show the nontrivial role of the effective radiation damping effect on the optimal control law.

Bernard Bonnard A, Dominique Sugny

The objective of this article is to apply recent developments in geometric optimal control to analyze the time minimum control problem of dissipative two-level quantum systems whose dynamics is governed by the Lindblad equation. We focus our analysis on the case where the extremal Hamiltonian is integrable.