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 (49)
- Quantum sensing
- Quantum metrology with nonclassical states of atomic ensembles
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
- Quantum interface between light and atomic ensembles
- Electron Counting Statistics and Coherent States of Electric Current
- Quantum superhet based on microwave-dressed Rydberg atoms
- Photon-assisted transport in semiconductor nanostructures
- Cosmic Axion Spin Precession Experiment (CASPEr)
- Universal oscillations in counting statistics
- Squeezed-Light Optical Magnetometry
- Waveguide-coupled Rydberg spectrum analyzer from 0 to 20 GHz
- Assessment of Rydberg Atoms for Wideband Electric Field Sensing
- Quantum-Limited Atomic Receiver in the Electrically Small Regime
- Current fluctuations in open quantum systems: Bridging the gap between quantum continuous measurements and full counting statistics
- A Resonant Mode for Gravitational Wave Detectors based on Atom Interferometry
- Full counting statistics for noninteracting fermions: Exact results and the Levitov-Lesovik formula
- Atom interferometric gravitational wave detection using heterodyne laser links
- 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
- ARC 3.0: An expanded Python toolbox for atomic physics calculations
- A non-equilibrium superradiant phase transition in free space
- NASDUCK: New Constraints on Axion-like Dark Matter from Floquet Quantum Detector
- Unusual Dynamical Properties of Disordered Polaritons in Micocavities
- Quantum-Enhanced Stimulated Brillouin Scattering Spectroscopy and Imaging
- Electromagnetically induced transparency based Rydberg-atom sensor for quantum voltage measurements
- Bell's inequality for conditional probabilities as a test for quantum-like behaviour of mind
- Estimation of a classical parameter with gaussian probes: magnetometry with collective atomic spins
- From quantum heat engines to laser cooling: Floquet theory beyond the Born-Markov approximation
- Measuring gravity by holding atoms
- An electronic Maxwell demon in the coherent strong-coupling regime
- Non-equilibrium quantum transport coefficients and the transient dynamics of full counting statistics in the strong coupling and non-Markovian regimes
- Numerically exact counting statistics of energy current in the Kondo regime
- Quantum Maxwell-Bloch equations for spatially inhomogeneous semiconductor lasers
- Full-counting statistics of time-dependent conductors
- Fisher information of correlated stochastic processes
- Quantum sensitivity limits of nuclear magnetic resonance experiments searching for new fundamental physics
- Multidimensional Coherent Spectroscopy of Molecular Polaritons: Langevin Approach
- Directional superradiance in a driven ultracold atomic gas in free-space
- Revealing attractive electron-electron interaction in a quantum dot by full counting statistics
- Quantum transport, master equations, and exchange fluctuations
- Estimating a fluctuating magnetic field with a continuously monitored atomic ensemble
- 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
- Reduced Dynamics of Full Counting Statistics
- Quantum-enhanced weak absorption estimation with correlated photons
- Pulsed Dual-axis Alkali-metal-noble-gas Comagnetometer