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arXiv · 2410.08428

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

L. Hernández-Sánchez·I. A. Bocanegra-Garay·I. Ramos-Prieto·F. Soto-Eguibar·H. M. Moya-Cessa
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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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L. Hernández-Sánchez, I. A. Bocanegra-Garay, I. Ramos-Prieto, F. Soto-Eguibar, H. M. Moya-Cessa. 2024-10-11. Exact solution of the master equation for interacting quantized fields at finite temperature decay. https://arxiv.org/abs/2410.08428

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