A Quantum Spectrometer for Arbitrary NoisearXiv
We present a technique for recovering the spectrum of a non-Markovian bosonic bath and/or non- Markovian noises coupled to an harmonic oscillator. The treatment is valid under the conditions that the environment is large and hot compared to the oscillator, and that its temporal autocorrelation functions are symmetric with respect to time translation and reflection – criteria which we consider fairly minimal.
We model a demonstration of the technique as deployed in the experimental scenario of a nanosphere levitated in a Paul trap, and show that it can effectively probe the spectrum of an electric field noise source from 10 − 10 Hz with a high degree of accuracy (proportional to the reciprocal of the measurement time) owing to its unusually low noise floor. This technique may be deployed in quantum sensing, metrology, computing, and in experimental probes of foundational questions.
The article was published in: arXiv preprint arXiv:1901.10445.
This work was supported (in part) by the Fetzer Franklin Fund of the John E. Fetzer Memorial Trust.