Lyapunov Dynamics in Entangled Biphoton Spectroscopy
Quantum Physics
2025-04-28 v2 Chemical Physics
Optics
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 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.
Keywords
Cite
@article{arxiv.2504.14086,
title = {Lyapunov Dynamics in Entangled Biphoton Spectroscopy},
author = {Sameer Dambal and Ajay Ram Srimath Kandada and Eric R. Bittner},
journal= {arXiv preprint arXiv:2504.14086},
year = {2025}
}