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    Reversing adiabatic state preparation in few-level quantum systems

    Leonardo Romanato1, N. Eshaqi-Sani1, Luca Lepori1,2, Teodora Kirova3, Ennio Arimondo4,5, and Sandro Wimberger1,2,*

    • 1Department of Mathematical, Physical and Computer Sciences, University of Parma, Parco Area delle Scienze 7/A, 43124 Parma, Italy
    • 2Instituto di Fisica Nucleare (INFN), Sezione di Milano Bicocca, Gruppo Collegato di Parma, Parco Area delle Scienze 7/A, 43124 Parma, Italy
    • 3Institute of Atomic Physics and Spectroscopy, Faculty of Science and Technology, University of Latvia, Jelgavas Street 3, Riga LV-1004, Latvia
    • 4Dipartimento di Fisica, Università di Pisa, Largo Pontecorvo 3, 56127 Pisa, Italy
    • 5Istituto Nazionale di Ottica–Consiglio Nazionale delle Ricerche, Università di Pisa, Largo Pontecorvo 3, 56127 Pisa, Italy

    • *Contact author: sandromarcel.wimberger@unipr.it

    Phys. Rev. A 112, 052812 – Published 12 November, 2025

    DOI: https://doi.org/10.1103/pst6-r584

    Abstract

    We present a detailed study of an adiabatic state preparation in an effective three-level quantum system. States can be prepared with high speed and fidelity by adding a counterdiabatic quantum control protocol. As a second step, we invert the preparation protocol to get back to the initial state. This describes an overall cyclic evolution in state space. Using counterdiabatic terms, the resulting composed fast evolution can be repeated many times. We then analyze the control of Berry's phase along the adiabatic cyclic path and show that Berry's phase can act as a sensitive detector of nonperfect state transfer.

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