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Trapped Ion Quantum Computing

Quantum Synchronization of Fock States

arXiv
Authors: Fabian Hassler, David Scheer, Samah Saquaque, Steven Kim

Year

2026

Paper ID

67521

Status

Preprint

Abstract Read

~2 min

Abstract Words

117

Citations

N/A

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.

Why This Paper Matters

  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • Synchronization, a ubiquitous phenomenon in classical systems, has recently been extended to the quantum domain.

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