Nonreciprocal Control of Spatiotemporal Floquet Dynamics in Levitated Optomechanical Arrays
Abstract
Periodically driven photonic and optomechanical systems provide a versatile setting for realizing collective Floquet dynamics, yet the relation between temporal locking and continuous rotation of the finite-q pattern remains poorly understood. We show that a nonreciprocal ring of parametrically driven optically levitated particles allows the spatial phase to be controlled while collective temporal locking is preserved. Nonreciprocity polarizes the counterpropagating finite-wave-vector modes and drives a transition from the pinned state to persistent directional spatial-phase drift. The normalized spatial-phase drift velocity is independently encoded in the splitting of the two dominant spectral branches, and its direction reverses with the coupling asymmetry. The pinned regime exhibits a laboratory frame period-two time-crystalline response, whereas the rotating regime forms a distinct temporally locked spatiotemporally ordered state. The same correspondence between spatial-phase drift and spectral splitting persists down to few-particle rings, indicating that the effect does not require a large array. These results establish nonreciprocity as a route to independently control spatial-phase drift and temporal synchronization in driven levitated optomechanical systems.
Related
- Nonreciprocal multibody interactions activate liquid state of acoustically levitated particle ensembles
- Parametric amplifier mediated nonreciprocal phonon laser in non-Markovian optomechanical resonators
- Nonreciprocal Coupling Induced Non-Hermitian Entanglement in Optomechanical Systems
- Nonreciprocal multi-body interactions activate liquid state of acoustically levitated particle ensembles
- Quantum theory of electrically levitated nanoparticle-ion systems: Motional dynamics and sympathetic cooling
BibTeX
@misc{zhang2026nonreciprocal,
title = {{Nonreciprocal Control of Spatiotemporal Floquet Dynamics in Levitated Optomechanical Arrays}},
author = {Guangyu Zhang and Qihao Guo and Zhang-qi Yin},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.21399},
eprint = {2610.21399},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.21399},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Nonreciprocal Control of Spatiotemporal Floquet Dynamics in Levitated Optomechanical Arrays
AU - Guangyu Zhang
AU - Qihao Guo
AU - Zhang-qi Yin
PY - 2026
DA - 2026/10/15
PB - arXiv
DO - 10.48550/arxiv.2610.21399
UR - https://arxiv.org/abs/2610.21399
AB - Periodically driven photonic and optomechanical systems provide a versatile setting for realizing collective Floquet dynamics, yet the relation between temporal locking and continuous rotation of the finite-q pattern remains poorly understood. We show that a nonreciprocal ring of parametrically driven optically levitated particles allows the spatial phase to be controlled while collective temporal locking is preserved. Nonreciprocity polarizes the counterpropagating finite-wave-vector modes and drives a transition from the pinned state to persistent directional spatial-phase drift. The normalized spatial-phase drift velocity is independently encoded in the splitting of the two dominant spectral branches, and its direction reverses with the coupling asymmetry. The pinned regime exhibits a laboratory frame period-two time-crystalline response, whereas the rotating regime forms a distinct temporally locked spatiotemporally ordered state. The same correspondence between spatial-phase drift and spectral splitting persists down to few-particle rings, indicating that the effect does not require a large array. These results establish nonreciprocity as a route to independently control spatial-phase drift and temporal synchronization in driven levitated optomechanical systems.
ER -