Quantum spectroscopy with biphotons: Lyapunov-based input-output dynamics
Sameer Dambal, Ajay Ram Srimath Kandada, Eric R. Bittner · Physical Review A · 2025
We develop a Lyapunov-based framework to model the evolution of entangled biphotons interacting with cavity and material modes. Using Gaussian-preserving dynamics and M\o{}ller 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.