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    Competing bosonic reactions: Insight from exactly solvable time-dependent models

    Fumika Suzuki1,2,*, Rajesh K. Malla3, and Nikolai A. Sinitsyn1,†

    • *Contact author: fsuzuki@lanl.gov
    • †Contact author: nsinitsyn@lanl.gov

    Phys. Rev. A 112, 013307 – Published 15 July, 2025

    DOI: https://doi.org/10.1103/68zs-gv5y

    Abstract

    We discuss the progress on exactly solvable multistate Landau-Zener models from a perspective of their application to competing reactions of particle creation from a false vacuum. Such models generally predict that, even with identical initial conditions, and for nearly the same other particle parameters, a quantum coherent evolution results in a final particle distribution with significant asymmetry. We use an exact solution of the driven bosonic Tavis-Cummings model for two reaction pathways in order to quantify this effect, reveal a corresponding phase transition, and identify its universality class.

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