Work

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

Year: 2024

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2410.08428

Authors: Hernández-Sánchez, L., Bocanegra-Garay, I. A., Ramos-Prieto, I., Soto-Eguibar, F., Moya-Cessa, H. M.

Institutions: Universidad de Valladolid, National Institute of Astrophysics, Optics and Electronics

Language: English

Topic: Quantum Mechanics and Non-Hermitian Physics

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Agencia Estatal de Investigación

Awards: G1175115578, G1569428888, G2262748287, G300979063, G3480869486, G3860215346, G425668148, G5080475149, G7084143925

OpenAlex ID: W4403444169

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