Optimal control of population and coherence in three-level $\Lambda$ systems

Abstract

Optimal control theory implementations for an efficient population transfer and creation of a maximum coherence in three-level system are considered. We demonstrate that the half-STIRAP (stimulated Raman adiabatic passage) scheme for creation of the maximum Raman coherence is the optimal solution according to the optimal control theory. We also present a comparative study of several implementations of optimal control theory applied to the complete population transfer and creation of the maximum coherence. Performance of the conjugate gradient method, the Zhu-Rabitz method and the Krotov method has been analyzed.

13 pages, 6 figures

References in corpus (2)

• Optimal control theory for unitary transformations
• Protecting coherence in Optimal Control Theory: State dependent constraint approach

Cited by in corpus (7)

• Krotov Method for Optimal Control in Closed Quantum Systems
• Stimulated Raman Adiabatic Passage (STIRAP) as a Route to Achieving Optical Control in Plasmonics
• Optimal shortcuts of Stimulated Raman Adiabatic Passage in the presence of dissipation
• Optimal STIRAP shortcuts using the spin to spring mapping
• Minimum time generation of a uniform superposition in a qubit with only transverse field control
• Optimal shape of STIRAP pulses for large dissipation at the intermediate level
• On the optimality of optical pumping for a closed $\Lambda$-system with large decay rates of the intermediate excited state