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Robust Quantum Control via the Dark State: Adiabatic Population Engineering in a Three-Level Λ System

ROSARIO LIZETH ALDAVA ASENCIOS, Pedro Esteban Fidel Rojas Fernández, TEOFILO VARGAS AUCCALLA, RICARDO ANGELO QUISPE MENDIZABAL

Published Dec 16, 2025• 0 citations
Publisher

Abstract

Achieving high-fidelity quantum state engineering is pivotal for quantum technology applications. This work investigates the Stimulated Raman Adiabatic Passage (STIRAP) protocol in a three-level $\Lambda$-system to demonstrate robust and near-perfect population transfer ($\ket{1} \to \ket{2}$). The system evolution is rigorously modeled using the \textbf{Lindblad Master Equation} to account for realistic open quantum dynamics, specifically spontaneous decay from the intermediate state $\ket{3}$. We show that the \textbf{adiabatic evolution} through the Dark State, which is orthogonal to the decaying state $\ket{3}$, guarantees immunity to this dissipation, achieving fidelities $> 0.99$. Furthermore, we analyze the protocol's resilience, mapping the fidelity landscape in the parameter space and confirming STIRAP's intrinsic robustness against control amplitude variations. This study demonstrates the efficacy and practical viability of STIRAP as a robust method for coherent population transfer in realistic noisy quantum devices.

DOI
10.5281/zenodo.18751277

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Achieving high-fidelity quantum state engineering is pivotal for quantum technology applications. This work investigates the Stimulated Raman Adiabatic Passage (STIRAP) protocol in a three-level Λ\LambdaΛ-system to demonstrate robust and near-perfect population transfer (∣1⟩→∣2⟩\ket{1} \to \ket{2}∣1⟩→∣2⟩). The system evolution is rigorously modeled using the \textbf{Lindblad Master Equation} to account for realistic open quantum dynamics, specifically spontaneous decay from the intermediate state ∣3⟩\ket{3}∣3⟩. We show that the \textbf{adiabatic evolution} through the Dark State, which is orthogonal to the decaying state ∣3⟩\ket{3}∣3⟩, guarantees immunity to this dissipation, achieving fidelities >0.99> 0.99>0.99. Furthermore, we analyze the protocol's resilience, mapping the fidelity landscape in the parameter space and confirming STIRAP's intrinsic robustness against control amplitude variations. This study demonstrates the efficacy and practical viability of STIRAP as a robust method for coherent population transfer in realistic noisy quantum devices.
The stimulated Raman adiabatic passage (STIRAP) shows an efficient technique that accurately transfers population between two discrete quantum states with the same parity, in three-level quantum systems based on adiabatic evolution. This technique has widely theoretical and experimental applications in many fields of physics, chemistry, and beyond. Here, we present a generally robust approach to speed up STIRAP with invariant-based shortcut to adiabaticity. By controlling the dynamical process, we inversely design a family of Hamiltonians that can realize fast and accurate population transfer from the first to the third level, while the systematic error is largely suppressed in general. Furthermore, a detailed trade-off relation between the population of the intermediate state and the amplitudes of Rabi frequencies in the transfer process is illustrated. These results provide an optimal route toward manipulating the evolution of three-level quantum systems in future quantum information processing.
Stimulated Raman adiabatic passage (STIRAP) and its superadiabatic variant (sa-STIRAP) are pivotal techniques for high-fidelity quantum state transfer. However, STIRAP is inherently slow, while sa-STIRAP often requires additional, experimentally challenging couplings. Recent progress has shown that implementing these protocols in the dressed-state space can overcome these limitations by modulating the amplitude and phase of native driving fields, thereby enabling efficient population transfer without extra couplings. Nevertheless, the robustness of these dressed-state protocols against decoherence remains unclear. In this work, we investigate the decoherence resilience of both STIRAP and sa-STIRAP within the dressed-state framework. Through numerical simulations, we demonstrate that they exhibit significantly enhanced robustness to environmental noise compared to their standard three-level counterparts. Our results highlight the potential of dressed-state-based protocols for achieving robust, high-fidelity quantum state transfer in noisy environments.
By generalizing the definition of fidelity for the nonlinear system, we investigate the dynamics and adiabaticity of the population transfer for atom-molecule three-level $\ensuremath{\Lambda}$ system on a stimulated Raman adiabatic passage (STIRAP). We find that the adiabatic fidelity for the coherent population trapping state or dark state, as the function of the adiabatic parameter, approaches to unit in a power law. The power exponent, however, is much less than the prediction of the linear adiabatic theorem. We further discuss how to achieve higher adiabatic fidelity for the dark state through optimizing the external parameters of the STIRAP.
Coherent manipulation of quantum states is of crucial importance in accurate control of a quantum system. A fundamental goal is coherently transferring the population of a desired state with near-unit fidelity. For this purpose, we theoretically demonstrate a novel coherent double-stimulated Raman adiabatic passage (STIRAP) in a three-level Λ-type system for realizing the switch of unequal initial preparations on two ground states. This operation uses a single optical pulse sequence accomplishing both bright-STIRAP and dark-STIRAP processes, in which the intermediate-level detuning and the pulse delay must be given an optimal adjustment. Besides, owing to the imperfection of double-STIRAP transition, the sensitivity of the switch fidelity with respect to the spontaneous loss from the intermediate state, to the pulse amplitude and to the population difference, is also discussed. This work suggests a simple and experimentally feasible all-optical approach to switch a superposition quantum state, serving as one-step closer to the goal of coherent manipulation of quantum systems.
We propose a method to improve the stimulated Raman adiabatic passage (STIRAP) via dissipative quantum dynamics, taking into account the dephasing effects. Fast and robust population transfer can be obtained with the scheme by the designed pulses and detuning, even though the initial state of the system is imperfect. With a concrete three-level system as an example, the influences of the imperfect initial state, variations in the control parameters, and various dissipation effects are discussed in detail. The numerical simulation shows that the scheme is insensitive to moderate fluctuations of experimental parameters and the relatively large dissipation effects of the excited state. Furthermore, the dominant dissipative factors, namely, the dephasing effects of the ground states and the imperfect initial state are no longer undesirable, in fact, they are the important resources to the scheme. Therefore, the scheme could provide more choices for the realization of the complete population transfer in the strong dissipative fields where the standard stimulated Raman adiabatic passage or shortcut schemes are invalid.
Abstract The multistate stimulated Raman adiabatic passage (STIRAP) is an efficient technique to achieve a selective and accurate population transfer in a chainwise-linked system. However, their efficiency is imperfect due to the nonadiabatic losses from the long runtime of the adiabatic evolution. Here, we focus on realizing a perfect and robust coherent control of the quantum states with optimal shortcut to adiabaticity in a realistic five-state hybrid quantum system. In particular, the optimal shortcut field requires minimal additional coupling (only one coupling strength) to accelerate the adiabatic evolution in this five-state system. Compared to the original STIRAP, the optimal shortcut shows the ultra-high fidelity of quantum state manipulations even though the control parameters of the Hamiltonians are changed in different ways. Furthermore, we study the efficiency of the optimal shortcut field technique in the presence of various experimental errors, such as systematic error, Rabi frequency error, and coupling strength error, and it features a broad range of high efficiencies above 99.9%, showing its robustness against the above errors. The results might shed insight on the further applications of shortcuts to adiabaticity on robust quantum information processing in multi-level quantum systems.