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    Unified Morris-Shore platform for coherent control: Demonstrating pulse-area, composite-pulse, and adiabatic passage techniques in multiladder systems

    M. Farhangi, M. Saadati-Niari*, and H. Mohammadzadeh

    • *Contact author: m.saadati@uma.ac.ir

    Phys. Rev. A 113, 032625 – Published 31 March, 2026

    DOI: https://doi.org/10.1103/4rkr-txsz

    Abstract

    This paper presents a comprehensive and versatile methodology for generating arbitrary coherent superpositions of excited states in multiladder quantum systems. The proposed scheme is distinguished by its applicability to systems with an arbitrary number of parallel ladders and an arbitrary number of excited states within each ladder. The complexity inherent to such multistate systems is addressed by employing the Morris-Shore (MS) transformation, which unitarily decouples the original system into a set of independent, simpler ladder subsystems. Within this simplified MS basis, we design and implement three distinct quantum control strategies. First, an analytic pulse-area method, enhanced by an imposed SU(2) dynamical symmetry, enables exact state preparation. Second, composite-pulse sequences are constructed to provide robust high-fidelity transfer resilient to systematic pulse-area errors. Third, adiabatic passage techniques, exemplified by chained stimulated Raman adiabatic passage (STIRAP), ensure robustness against variations in experimental parameters. Detailed numerical simulations confirm the effectiveness of each technique in creating target superpositions, such as equal distributions among all states or specific subsets of excited states.

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