Exact solution of the master equation for interacting quantized fields at finite temperature decay
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.
Cite
@article{arxiv.2410.08428,
title = {Exact solution of the master equation for interacting quantized fields at finite temperature decay},
author = {L. Hernández-Sánchez and I. A. Bocanegra-Garay and I. Ramos-Prieto and F. Soto-Eguibar and H. M. Moya-Cessa},
journal= {arXiv preprint arXiv:2410.08428},
year = {2024}
}