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arXiv · 2605.30271

Quantum Synchronization of Fock States

Fabian Hassler·David Scheer·Samah Saquaque·Steven Kim
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Abstract

Synchronization, a ubiquitous phenomenon in classical systems, has recently been extended to the quantum domain. Here, we show quantum synchronization of a bosonic mode exhibiting a Fock state-like limit cycle, manifesting as a steady state with a negative Wigner function. We demonstrate that this non-classical state can be phase-locked to an external drive, achieving synchronization within an Arnold tongue regime. We argue that synchronization is a dynamical property and fundamentally tied to the suppression of phase slips, which we show to occur with exponentially decreasing probability. We introduce a novel method to extract the phase slip rate from the Lindblad time evolution of the system. This work opens new avenues for understanding and manipulating non-classical synchronization dynamics.

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Fabian Hassler, David Scheer, Samah Saquaque, Steven Kim. 2026-05-28. Quantum Synchronization of Fock States. https://arxiv.org/abs/2605.30271

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