Quantum spectroscopy with biphotons: Lyapunov-based input-output dynamics
Phys. Rev. A 112, 053715 – Published 17 November, 2025
DOI: https://doi.org/10.1103/wgnx-l7qx
Abstract
We develop a Lyapunov-based framework to model the evolution of entangled biphotons interacting with cavity and material modes. Using Gaussian-preserving dynamics and Møller operators, we map input joint spectral amplitudes to experimentally measurable joint spectral intensities. Our model reproduces key features of observed spectra and reveals off-diagonal correlations arising from cavity decay, providing a scalable and tractable tool for quantum spectroscopic analysis.
