Exact solution of the master equation for interacting quantized fields at finite temperature decay

• URL: http://arxiv.org/abs/2410.08428v1
• Date: Fri, 11 Oct 2024 00:21:54 GMT
• Title: Exact solution of the master equation for interacting quantized fields at finite temperature decay
• Authors: L. Hernández-Sánchez, I. A. Bocanegra-Garay, I. Ramos-Prieto, F. Soto-Eguibar, H. M. Moya-Cessa,
• Abstract summary: We analyze the Markovian dynamics of a quantum system involving the interaction of two quantized fields at finite temperature decay. We reformulate the Lindblad master equation into a von Neumann-like equation with an effective non-Hermitian Hamiltonian. This method provides a framework to calculate the evolution of any initial state in a fully quantum regime.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We analyze the Markovian dynamics of a quantum system involving the interaction of two quantized fields at finite temperature decay. Utilizing superoperator techniques and applying two non-unitary transformations, we reformulate the Lindblad master equation into a von Neumann-like equation with an effective non-Hermitian Hamiltonian. Furthermore, an additional non-unitary transformation is employed to diagonalize this Hamiltonian, enabling us to derive an exact solution to the Lindblad master equation. This method provides a framework to calculate the evolution of any initial state in a fully quantum regime. As a specific example, we present the photon coincidence rates for two indistinguishable photons initially interacting within a cavity.

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