Fast state transfer in a {\Lambda}-system: a shortcut-to-adiabaticity approach to robust and resource optimized control

TL;DR

This paper introduces a shortcut-to-adiabaticity method for fast, robust, and resource-efficient quantum state transfer in a three-level Lambda system, optimizing control functions for high fidelity and low power use.

Contribution

It develops a systematic approach combining adiabatic trajectories with STA to optimize quantum control, enhancing speed and robustness while minimizing resource consumption.

Findings

Achieves fast and robust population transfer.

Maintains low peak laser power.

Demonstrates effectiveness in a three-level Lambda system.

Abstract

We propose an efficient strategy to find optimal control functions for state-to-state quantum control problems. Our procedure first chooses an input state trajectory, that can realize the desired transformation by adiabatic variation of the system Hamiltonian. The shortcut-to-adiabaticity (STA) formalism then provides a control Hamiltonian that realizes the reference trajectory exactly but on a finite time scale. As the final state is achieved with certainty, we define a cost functional that incorporates the resource requirements and a perturbative expression for robustness. We optimize this functional by systematically varying the reference trajectory. We demonstrate the method by application to population transfer in a laser driven three-level {\Lambda}-system, where we find solutions that are fast and robust against perturbations while maintaining a low peak laser power.