Emergent Quantum Synchronization Without Symmetry Breaking
Abstract
Parametric amplification of a shared cavity mode turns the light--matter coupling phase of a two-ensemble Dicke model into a control parameter. We prove analytically that a cavity-set gain band opens a window of this phase with no static superradiant instability, leaving only a Hopf bifurcation, for arbitrary couplings, spin frequencies, damping rates and ensemble sizes. A ℤ2 parity keeps the quantum steady state unique and time independent: every order parameter vanishes and the oscillation lives in a slow parity-odd Liouvillian mode. Truncated-Wigner simulations, validated against exact ones, show that above threshold its quality factor grows linearly with system size and the ensembles phase lock; below threshold, both saturate. Quantum synchronization emerges without symmetry breaking and without requiring entanglement.
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BibTeX
@misc{alvarezcuartas2026emergent,
title = {{Emergent Quantum Synchronization Without Symmetry Breaking}},
author = {Juan David Álvarez-Cuartas and Joakim Bergli and John H. Reina},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2607.03409},
eprint = {2607.03409},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.03409},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Emergent Quantum Synchronization Without Symmetry Breaking
AU - Juan David Álvarez-Cuartas
AU - Joakim Bergli
AU - John H. Reina
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2607.03409
UR - https://arxiv.org/abs/2607.03409
AB - Parametric amplification of a shared cavity mode turns the light--matter coupling phase of a two-ensemble Dicke model into a control parameter. We prove analytically that a cavity-set gain band opens a window of this phase with no static superradiant instability, leaving only a Hopf bifurcation, for arbitrary couplings, spin frequencies, damping rates and ensemble sizes. A ℤ_2 parity keeps the quantum steady state unique and time independent: every order parameter vanishes and the oscillation lives in a slow parity-odd Liouvillian mode. Truncated-Wigner simulations, validated against exact ones, show that above threshold its quality factor grows linearly with system size and the ensembles phase lock; below threshold, both saturate. Quantum synchronization emerges without symmetry breaking and without requiring entanglement.
ER -