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Quantum Reductive Perturbation Method for Photon Propagations in a Cold Atomic Gas

2024/06/12 by Yao Ou, Yao, Ou, Guoxiang, Huang
Chemistry · Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum Physics (quant-ph) #Spectroscopy and Laser Applications

paper · pdf · doi:10.48550/arxiv.2406.08008

openalex publication_date 2024/06/12 · openalex created_date 2024/06/14 · openalex updated_date 2026/07/28

Abstract

We develop a quantum reductive perturbation method (RPM), a generalization of classical RPM widely used in nonlinear wave theory, to derive a simplified model (i.e. quantum nonlinear Schrodinger equation) from fully quantum Heisenberg-Langevin-Maxwell equations describingphoton propagations in a coherent cold atomic gas. The result is used to discuss two-photon bound states and optical solitons in the gas. Though a specific system is considered, the quantum RPM established here is very general and can be applied to other complex quantum nonlinear problems.

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