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Main Authors: Hassler, Fabian, Scheer, David, Saquaque, Samah, Kim, Steven
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2605.30271
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author Hassler, Fabian
Scheer, David
Saquaque, Samah
Kim, Steven
author_facet Hassler, Fabian
Scheer, David
Saquaque, Samah
Kim, Steven
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2605_30271
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Quantum Synchronization of Fock States
Hassler, Fabian
Scheer, David
Saquaque, Samah
Kim, Steven
Quantum Physics
Mesoscale and Nanoscale Physics
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.
title Quantum Synchronization of Fock States
topic Quantum Physics
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2605.30271