Liouvillian exceptional points in the emergence of quantum synchronization
Abstract
The coupling between self-sustained oscillators, such as lasers or polariton condensates, leads to different steady-states in different regimes. Weak coupling allows the oscillators to behave independently, with different frequencies and uncorrelated phases, while stronger coupling can produce synchronization. In classical or semiclassical theories transitions between these steady-states correspond to changes in the topology of the phase space attractors and occur at generalized exceptional points. We investigate the corresponding changes in a quantum theory of coupled lasers or condensates. We show how the different steady-state regimes of the classical limit give rise to distinct forms for the spectra and eigenmatrices of the slow modes of the Liouvillian. By following the spectral flow between the different regimes we show that the synchronization transition is controlled by cascades of exceptional points in these slow modes, protected by a generalized PT symmetry. Our results show how singularities of the quantum Liouvillian control the different dynamical regimes, and give rise to experimental signatures of the synchronization transition which remain well-defined in the few-particle regime dominated by quantum effects.
Related
- Optimal quantum discrimination at Liouvillian exceptional points
- Emergence of chaos with exceptional points in reset-driven Floquet dynamics
- Tunable Exceptional Points for Quantum Sensing in a Spin--Orbit-Angular-Momentum Coupled BEC
- Liouvillian exceptional-point-induced phase transition in a single Kerr-cat qubit
- Rank-one loss maximizes the spectral response strength of passive full-order exceptional points
BibTeX
@misc{taberner2026liouvillian,
title = {{Liouvillian exceptional points in the emergence of quantum synchronization}},
author = {Carlos Ortega Taberner and Rosalind E. Cotton and Paul R. Eastham},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.18867},
eprint = {2609.18867},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.18867},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Liouvillian exceptional points in the emergence of quantum synchronization
AU - Carlos Ortega Taberner
AU - Rosalind E. Cotton
AU - Paul R. Eastham
PY - 2026
DA - 2026/09/16
PB - arXiv
DO - 10.48550/arxiv.2609.18867
UR - https://arxiv.org/abs/2609.18867
AB - The coupling between self-sustained oscillators, such as lasers or polariton condensates, leads to different steady-states in different regimes. Weak coupling allows the oscillators to behave independently, with different frequencies and uncorrelated phases, while stronger coupling can produce synchronization. In classical or semiclassical theories transitions between these steady-states correspond to changes in the topology of the phase space attractors and occur at generalized exceptional points. We investigate the corresponding changes in a quantum theory of coupled lasers or condensates. We show how the different steady-state regimes of the classical limit give rise to distinct forms for the spectra and eigenmatrices of the slow modes of the Liouvillian. By following the spectral flow between the different regimes we show that the synchronization transition is controlled by cascades of exceptional points in these slow modes, protected by a generalized PT symmetry. Our results show how singularities of the quantum Liouvillian control the different dynamical regimes, and give rise to experimental signatures of the synchronization transition which remain well-defined in the few-particle regime dominated by quantum effects.
ER -