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    Simultaneous control of populations and coherence phase of open two-level quantum systems with a single pulse

    Gustavo Fernandes da Costa and Emanuel Fernandes de Lima*

    • *Contact author: eflima@ufscar.br

    Phys. Rev. A 112, 052449 – Published 24 November, 2025

    DOI: https://doi.org/10.1103/x2g9-wpk6

    Abstract

    We address the control of the dynamics of both population and coherence phase in an open two-level quantum system employing a single external control field. The system dynamics is described by a Markovian master equation that takes into account dephasing and thermal noise. The control is engineered by inverting the underlying equations of motion, which yields an analytical expression for the control field in terms of user-specified time-dependent functions for the population and coherence phase. Our approach allows us to dictate not only the initial and final populations and phases, but the full dynamics of these quantities. The chosen functions for population and phase have to conform to certain constraints indicated in our analysis. Our methodology also reveals the possible transitions for given initial conditions and environmental noise parameters.

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