Quantum sensing of a weak drive signal in cascaded quantum van der Pol oscillators
Abstract
We have constructed a quantum sensing system composed of two quantum van der Pol (vdP) oscillators. Coherent and dissipative couplings are combined to establish a generic nonreciprocal coupling between the two vdP subsystems. A weak driving signal to be measured is applied to an oscillator (probe system) and then transferred via non-reciprocal coupling to another oscillator (measurement system) that is easier to measure. This allows for the acquisition of information about the driving strength of the signal being measured. For the classic cascaded dual vdP oscillators, complete non-reciprocal coupling yields a much higher susceptibility than a single classical vdP oscillator alone. For the quantum vdP system, the sensitivity generally does not diverge at the zero driving force point. When only dissipative coupling and two-particle loss are present, the system will have a dark mode at the zero driving force point, which enables the measurement precision to ultimately reach the Heisenberg limit in the time domain. Enhancing incoherent driving can effectively resist dissipation and thereby improve measurement precision. Moreover, in the strong incoherent driving regime, the improvement factor of non-reciprocal coupling over reciprocal coupling in terms of measurement precision tends to infinity as the two-particle loss rate of the measurement system approaches zero.
Related
- Exponential Quantum Advantage in Stationary Signal Sensing
- Achieving Identical Stored Energy in Cascaded Collisional Quantum Battery Charging: Analytical Result
- Sideband fingerprints of antibunched light in cascaded quantum wave mixing
- Probability distribution analysis of the cascaded variational quantum eigensolver
- Enhanced Valley Polarization via Nonlinear Cascaded Quantum-Geometric Selection Rules
BibTeX
@misc{xie2026quantum,
title = {{Quantum sensing of a weak drive signal in cascaded quantum van der Pol oscillators}},
author = {Dong Xie and Chungling Xu},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.04895},
eprint = {2611.04895},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.04895},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quantum sensing of a weak drive signal in cascaded quantum van der Pol oscillators
AU - Dong Xie
AU - Chungling Xu
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.04895
UR - https://arxiv.org/abs/2611.04895
AB - We have constructed a quantum sensing system composed of two quantum van der Pol (vdP) oscillators. Coherent and dissipative couplings are combined to establish a generic nonreciprocal coupling between the two vdP subsystems. A weak driving signal to be measured is applied to an oscillator (probe system) and then transferred via non-reciprocal coupling to another oscillator (measurement system) that is easier to measure. This allows for the acquisition of information about the driving strength of the signal being measured. For the classic cascaded dual vdP oscillators, complete non-reciprocal coupling yields a much higher susceptibility than a single classical vdP oscillator alone. For the quantum vdP system, the sensitivity generally does not diverge at the zero driving force point. When only dissipative coupling and two-particle loss are present, the system will have a dark mode at the zero driving force point, which enables the measurement precision to ultimately reach the Heisenberg limit in the time domain. Enhancing incoherent driving can effectively resist dissipation and thereby improve measurement precision. Moreover, in the strong incoherent driving regime, the improvement factor of non-reciprocal coupling over reciprocal coupling in terms of measurement precision tends to infinity as the two-particle loss rate of the measurement system approaches zero.
ER -