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PreprintarXiv licencearXiv

Synchronization in one-dimensional arrays of photon condensates

Abstract

We investigate the synchronization of coupled photonic Bose-Einstein condensates in dye-filled microcavity arrays, subject to a potential gradient. We show that in the absence of noise the desynchronisation threshold is the result of a dynamical instability. For a two-site system, we analytically derive the maximal potential difference that allows for a synchronized solution as a function of the system parameters and find that it crucially depends on the thermalization rate. For systems with N sites, we find a N−3 power law scaling for the critical potential difference. When quantum fluctuations are included, stochastic phase slips broaden the sharp transitions, yet the phase velocity and first order spatial coherence still reliably identify the instability threshold.

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BibTeX
@misc{luyckx2026synchronization,
  title = {{Synchronization in one-dimensional arrays of photon condensates}},
  author = {Klaas Luyckx and Michiel Yzewyn and Michiel Wouters},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.04989},
  eprint = {2611.04989},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.04989},
}
RIS
TY  - UNPB
TI  - Synchronization in one-dimensional arrays of photon condensates
AU  - Klaas Luyckx
AU  - Michiel Yzewyn
AU  - Michiel Wouters
PY  - 2026
DA  - 2026/11/03
PB  - arXiv
DO  - 10.48550/arxiv.2611.04989
UR  - https://arxiv.org/abs/2611.04989
AB  - We investigate the synchronization of coupled photonic Bose-Einstein condensates in dye-filled microcavity arrays, subject to a potential gradient. We show that in the absence of noise the desynchronisation threshold is the result of a dynamical instability. For a two-site system, we analytically derive the maximal potential difference that allows for a synchronized solution as a function of the system parameters and find that it crucially depends on the thermalization rate. For systems with N sites, we find a N^−3 power law scaling for the critical potential difference. When quantum fluctuations are included, stochastic phase slips broaden the sharp transitions, yet the phase velocity and first order spatial coherence still reliably identify the instability threshold.
ER  -