Photon-resolved Floquet theory approach to spectroscopic quantum sensing
arXiv:2506.08302 · doi:10.1103/btrr-bd3q
Abstract
Spectroscopic methods play a vital role in quantum sensing, which uses the quantized nature of atoms or molecules to reach astonishing precision for sensing of, e.g., electric or magnetic fields. In the theoretical treatment, one typically invokes semiclassical methods to describe the light-matter interaction between quantum emitters, e.g., atoms or molecules, and a strong coherent laser field. However, these semiclassical approaches struggle to predict the stochastic measurement fluctuations beyond the mean value, necessary to predict the sensitivity of spectroscopic quantum sensing protocols. Here, we develop a theoretical framework based on the recently developed Photon-resolved Floquet theory (PRFT) which is capable to predict the measurement statistics describing higher order statistics of coherent quantum states of light. The PRFT constructs flow equations for the cumulants of the photonic measurement statistics utilizing only the semiclassical dynamics of the matter system. We apply the PRFT to spectroscopic quantum sensing using dissipative two-level and four-level systems (describing electric field sensing with Rydberg atoms), and demonstrate how to calculate the Fisher information of the measurement statistics with respect to various system parameters. In doing so, we demonstrate that the PRFT is a flexible tool allowing to improve the sensitivity of spectroscopic quantum sensing devices by several orders of magnitudes.
33 pages including appendices; 6 pictures; comments are welcome
References in corpus (23)
- Universal oscillations in counting statistics
- Squeezed-Light Optical Magnetometry
- Assessment of Rydberg Atoms for Wideband Electric Field Sensing
- Current fluctuations in open quantum systems: Bridging the gap between quantum continuous measurements and full counting statistics
- Full counting statistics for noninteracting fermions: Exact results and the Levitov-Lesovik formula
- Quantum sensing with atomic, molecular, and optical platforms for fundamental physics
- Continuous wideband microwave-to-optical converter based on room-temperature Rydberg atoms
- Squeezing the quantum noise of a gravitational-wave detector below the standard quantum limit
- Highly sensitive measurement of a megahertz rf electric field with a Rydberg-atom sensor
- A non-equilibrium superradiant phase transition in free space
- Unusual Dynamical Properties of Disordered Polaritons in Micocavities
- Quantum-Enhanced Stimulated Brillouin Scattering Spectroscopy and Imaging
- Measuring gravity by holding atoms
- Full-counting statistics of time-dependent conductors
- Fisher information of correlated stochastic processes
- Multidimensional Coherent Spectroscopy of Molecular Polaritons: Langevin Approach
- Directional superradiance in a driven ultracold atomic gas in free-space
- Quantum transport, master equations, and exchange fluctuations
- Adaptive cold-atom magnetometry mitigating the trade-off between sensitivity and dynamic range
- Unified Light-Matter Floquet Theory and its Application to Quantum Communication
- Nonlinear semiclassical spectroscopy of ultrafast molecular polariton dynamics
- Quantum-enhanced weak absorption estimation with correlated photons
- Pulsed Dual-axis Alkali-metal-noble-gas Comagnetometer