Synchronization effects in a periodically driven two-level system

• URL: http://arxiv.org/abs/2511.04339v1
• Date: Thu, 06 Nov 2025 13:20:13 GMT
• Title: Synchronization effects in a periodically driven two-level system
• Authors: Federico Settimo, Bassano Vacchini,
• Abstract summary: We study phase-synchronization in a driven two-level system coupled to a non-Markovian bosonic reservoir.<n>We observe that a robust phase-locking develops and that the corresponding synchronization measure rapidly acquires a finite value.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study phase-synchronization in a driven two-level system coupled to a non-Markovian bosonic reservoir. The dynamics is described by treating the system-bath coupling and the coherent drive without invoking the rotating-wave approximation, and simulated using the numerically exact hierarchical equations of motion. We observe that a robust phase-locking develops and that the corresponding synchronization measure rapidly acquires a finite value when the system is tuned to what we identify as a resonant-ratio condition, namely when the ratio between the drive amplitude and its frequency coincides with a zero of the Bessel function $J_0$. We provide an explanation for this phenomenon by means of a static approximation derived from a Fourier analysis of the periodically driven Hamiltonian.

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