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

• URL: http://arxiv.org/abs/2406.08008v1
• Date: Wed, 12 Jun 2024 08:57:45 GMT
• Title: Quantum Reductive Perturbation Method for Photon Propagations in a Cold Atomic Gas
• Authors: Ou Yao, Huang Guoxiang,
• Abstract summary: Quantum reductive method ( RPM) is a generalization of classical RPM widely used in nonlinear wave theory. RPM is used to discuss two-photon bound states and optical solitons in a coherent cold atomic gas.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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