aiqbench analysis
This research demonstrates how encircling multiple exceptional points in an optomechanical system can significantly enhance finite-time cooling efficiency compared to standard protocols. By optimizing detuning trajectories around these spectral singularities, the study achieves a substantial reduction in mechanical occupation without increasing drive power resources. The findings establish multi-exceptional-point braiding as a viable control resource for preparing quantum states of motion within constrained timeframes.
Finite-Time Optomechanical Cooling by Multi-Exceptional-Point Braiding
arXiv:2607.23179v1 Announce Type: new Abstract: Cooling protocols are usually optimized through static detunings and damping rates. Here we show that exceptional-point braiding can enhance finite-time optomechanical cooling under a fixed drive-power resource. We consider an auxiliary-cavity-assisted optomechanical system whose full three-mode drift contains two second-order exceptional points. Using the same prescribed power waveform for every protocol, we optimize only the detuning trajectory while matching its duration, endpoint, range, mean, and integrated control effort. Encircling either exceptional point produces a distinct pairwise eigenbranch exchange, whereas enclosing both generates a three-branch spectral cycle. The optimized two-EP trajectory lowers the final mechanical occupation by \(19.2\%\) relative to the optimized non-enclosing class and by \(9.9\%\) relative to the best single-EP protocol. A full Bogoliubov calculation including counter-rotating Stokes processes preserves this hierarchy. These results establish multi-exceptional-point braiding as a controllable resource for finite-time mechanical state preparation.
Abstract:Cooling protocols are usually optimized through static detunings and damping rates. Here we show that exceptional-point braiding can enhance finite-time optomechanical cooling under a fixed drive-power resource. We consider an auxiliary-cavity-assisted optomechanical system whose full three-mode drift contains two second-order exceptional points. Using the same prescribed power waveform for every protocol, we optimize only the detuning trajectory while matching its duration, endpoint, range, mean, and integrated control effort. Encircling either exceptional point produces a distinct pairwise eigenbranch exchange, whereas enclosing both generates a three-branch spectral cycle. The optimized two-EP trajectory lowers the final mechanical occupation by \(19.2\%\) relative to the optimized non-enclosing class and by \(9.9\%\) relative to the best single-EP protocol. A full Bogoliubov calculation including counter-rotating Stokes processes preserves this hierarchy. These results establish multi-exceptional-point braiding as a controllable resource for finite-time mechanical state preparation.
arXiv:2607.23179 [quant-ph]
(or arXiv:2607.23179v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2607.23179 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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