Shortcut to adiabatic population transfer in quantum three-level systems: effective two-level problems and feasible counter-diabatic driving

TL;DR

This paper develops a method for fast, high-fidelity population transfer in quantum three-level systems by reducing them to effective two-level problems and applying counter-diabatic driving without extra couplings.

Contribution

It introduces a new approach to implement shortcut to adiabaticity in three-level systems using effective two-level problems and pulse modifications, avoiding additional couplings.

Findings

Achieves fast, high-fidelity population transfer.

Reduces quantum three-level systems to effective two-level problems.

Demonstrates robustness against parameter variations.

Abstract

Shortcut to adiabaticity in various quantum systems has attracted much attention with the wide applications in quantum information processing and quantum control. In this paper, we concentrate on stimulated Raman shortcut-to-adiabatic passage in quantum three-level systems. To implement counter-diabatic driving but without additional coupling, we first reduce the quantum three-level systems to effective two-level problems at large intermediate-level detuning, or on resonance, apply counter-diabatic driving along with the unitary transformation, and eventually modify the pump and Stokes pulses for achieving fast and high-fidelity population transfer. The required laser intensity and stability against parameter variation are further discussed, to demonstrate the advantage of shortcuts to adiabaticity.