2024/10/11 by L. Hernández-Sánchez, Hernández-Sánchez, L., Ivan A. Bocanegra-Garay +7
Physics and Astronomy · Computer Science · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Information and Cryptography #Semiconductor Quantum Structures and Devices
paper · pdf · doi:10.48550/arxiv.2410.08428
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.