Optimal control of time-dependent targets

I. Serban*, J. Werschnik, E. K.U. Gross

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

63 Scopus citations


In this work, we investigate how and to which extent a quantum system can be driven along a prescribed path in Hilbert space by a suitably shaped laser pulse. To calculate the optimal, i.e., the variationally best pulse, a properly defined functional is maximized. This leads to a monotonically convergent algorithm which is computationally not more expensive than the standard optimal-control techniques to push a system, without specifying the path, from a given initial to a given final state. The method is successfully applied to drive the time-dependent density along a given trajectory in real space and to control the time-dependent occupation numbers of a two-level system and of a one-dimensional model for the hydrogen atom.

Original languageAmerican English
Article number053810
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number5
StatePublished - May 2005
Externally publishedYes


Dive into the research topics of 'Optimal control of time-dependent targets'. Together they form a unique fingerprint.

Cite this