Atom-Induced Field Squeezing Predicted by Magnus Expanding the Jaynes-Cummings Model for a Two-Level Atom

• URL: http://arxiv.org/abs/2508.03506v2
• Date: Wed, 06 Aug 2025 12:28:21 GMT
• Title: Atom-Induced Field Squeezing Predicted by Magnus Expanding the Jaynes-Cummings Model for a Two-Level Atom
• Authors: Phoenix M. M. Paing,
• Abstract summary: We find the term involving the squeezing of light beyond the Rotating Wave Approximation.<n>These findings suggest new avenues for engineering nonclassical states in simple light-matter systems.
• Score: 0.0
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: By performing up to the second-order Magnus expansion on the Jaynes-Cummings Model Hamiltonian governing the interaction of a two-level atom and a single cavity mode electromagnetic field, we find the term involving the squeezing of light beyond the Rotating Wave Approximation. Our results demonstrate that the Magnus expansion provides a systematic framework to capture atom-induced squeezing effects. These findings suggest new avenues for engineering nonclassical states in simple light-matter systems without requiring multi-level structures or strong nonlinear media.

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