Optimal quantum control in nanostructures: Theory and application to generic three-level system

TL;DR

This paper develops a general optimal control framework for quantum nanostructures, enabling efficient state transitions with constraints, demonstrated on a three-level quantum system.

Contribution

It introduces a novel solution scheme for optimizing external controls in quantum systems, accommodating physical constraints and demonstrating applicability on a three-level model.

Findings

Effective control of quantum state transitions achieved

Constraints like limited resources incorporated successfully

Method demonstrated on a generic three-level system

Abstract

Coherent carrier control in quantum nanostructures is studied within the framework of Optimal Control. We develop a general solution scheme for the optimization of an external control (e.g., lasers pulses), which allows to channel the system's wavefunction between two given states in its most efficient way; physically motivated constraints, such as limited laser resources or population suppression of certain states, can be accounted for through a general cost functional. Using a generic three-level scheme for the quantum system, we demonstrate the applicability of our approach and identify the pertinent calculation and convergence parameters.