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arXiv:0802.0190

Automated and robust population transfer method for three-level system using oscillating dark states

Jun He, Yong-Sheng Zhang, Xiang-Fa Zhou, Qunfeng Chen, Guang-Can Guo

Published Feb 1, 2008• 0 citations
arXivHTMLPDF

Abstract

An automated and robust method for adiabatic population transfer and the preparation of an arbitrary quantum superposition state in atomic system using the oscillating dark states (ODS) is presented. Quantum state of a three-level $Λ$ configuration atomic system oscillates periodically between two ground levels, when two pairs of classical detuning laser fields driving the system into the ODS under evolving adiabatic conditions. The decoherence of the ODS evolution is greatly suppressed, and the oscillation is very stable, therefore adiabatic population transfer and the preparation of an arbitrary quantum superposition state of atomic system can be completed accurately and conveniently.

DOI
10.48550/arxiv.0802.0190

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An automated and robust method for adiabatic population transfer and the preparation of an arbitrary quantum superposition state in atomic system using the oscillating dark states (ODS) is presented. Quantum state of a three-level ΛΛΛ configuration atomic system oscillates periodically between two ground levels, when two pairs of classical detuning laser fields driving the system into the ODS under evolving adiabatic conditions. The decoherence of the ODS evolution is greatly suppressed, and the oscillation is very stable, therefore adiabatic population transfer and the preparation of an arbitrary quantum superposition state of atomic system can be completed accurately and conveniently.
Coherent population transfer and superposition of atomic states via a technique of stimulated Raman adiabatic passage in an excited-doublet four-level atomic system have been analyzed. It is shown that the behavior of adiabatic passage in this system depends crucially on the detunings between the laser frequencies and the corresponding atomic transition frequencies. Particularly, if both the fields are tuned to the center of the two upper levels, the four-level system has two degenerate dark states, although one of them contains the contribution from the excited atomic states. The nonadiabatic coupling of the two degenerate dark states is intrinsic, it originates from the energy difference of the two upper levels. An arbitrary superposition of atomic states can be prepared due to such nonadiabatic coupling effect.
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.
We investigate the behavior of a three-level atomic system with \ensuremath{\Lambda} structure of levels in the field of a sequence of short frequency-chirped bichromatic laser pulses (BLP's) in the adiabatic passage regime of interaction. We show that the efficiency of the population transfer in this atomic system is sensitive to the relative phase of the pulses forming the BLP when the atom is prepared in a coherent superposition of its two ground states initially. We propose to use this sensitivity for coherent fast and robust writing and reading of optical phase information. The initial preparation of the atom in the ``dark'' superposition state is suggested through the action of a sequence of a few frequency-chirped BLP's with duration longer than the atomic relaxation time.
We investigate several configurations for complete population transfer on the basis of the dressed state picture in a three-level system. This picture allows us not only to confirm an atom staying in the only dark state all the time under the well-known stimulated Raman adiabatic passage but also to find the considerably different dynamics from the conventional adiabatic process in cases where the pulses are significantly overlapped or concurrent (optimal detuning method). We expand the concept of the adiabatic process in order to explain all these cases.
The manipulation of population transfer and the creation of an arbitrary superposition between two atomic states in the framework of a closed inverse Y-type four-level system driven by a series of pulse pairs and an external control field is reported. It is shown that when the laser fields are tuned to resonance with respective transitions, the non-adiabatic coupling between two degenerate adiabatic states can be reduced tremendously and complete population transfer from the initial state to the target state can be achieved in a piecewise manner. Moreover, an arbitrary superposition between the initial state and target state can be created by suitably tuning the Rabi frequency of the control laser field, inter-pair time delay, pulse number or intra-pair time delay between the pump and Stokes pulses. This scheme combines stimulated Raman adiabatic passage and temporal coherent control, and may be useful for quantum information processing and control of chemical reactions.
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