Quantum purity exchange dynamics in a qubit–resonator system subject to squeezed-vacuum driving

Leila  Abdelgader; Chafaa Hamrouni

doi:10.59400/adecp3929

Quantum purity exchange dynamics in a qubit–resonator system subject to squeezed-vacuum driving

Leila Abdelgader
Advanced Department of Computer Sciences, Taif University–Khurma University College, Al-Khurma 2935, Saudi Arabia
Chafaa Hamrouni
Advanced Department of Computer Sciences, Taif University–Khurma University College, Al-Khurma 2935, Saudi Arabia

Article ID: 3929

Keywords: clarified technical descriptions; corrected phrasing; ensured parallel structure; improved sentence flow; polished punctuation and word choice

Abstract

This work presents a theoretical framework to study the non-Markovian dynamics of a two-level quantum emitter interacting with a broadband squeezed electromagnetic reservoir, and both one- and two-photon interaction processes are incorporated. Mathematical modeling uses a time-convolution less projection operator technique. This yields a time-local master equation. The coefficients of this equation are derived from integrals over the reservoir's squeezed correlation functions: and . The model is validated through rigorous numerical simulation of the resulting dynamical equations. Testing involves computing key physical observables: the transient emission spectrum and the field linear entropy . These predictions are systematically analyzed against variations in squeezing parameters , coupling strengths , and detector bandwidth . The results confirm that the model successfully captures phase-dependent decoherence, spectral modulation, and purity oscillations. Notably, two-photon processes suppress decoherence under strong squeezing. The consistency between analytical derivations and numerical outcomes validates the framework. It is established as a predictive tool for quantum optics in engineered nonclassical environments. This study directly connects engineered reservoir properties specifically its nonclassical photon statistics to observable, time-dependent quantum phenomena. The findings offer fundamental insights and a predictive tool for quantum control, sensing, and information processing in tailored electromagnetic environments.

Published

2026-04-01

How to Cite

Abdelgader, L., & Hamrouni, C. (2026). Quantum purity exchange dynamics in a qubit–resonator system subject to squeezed-vacuum driving. Advances in Differential Equations and Control Processes, 33(2). https://doi.org/10.59400/adecp3929

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