Exact solution for the interaction of two decaying quantized fields
Quantum Physics
2023-04-13 v1
Abstract
We show that the Markovian dynamics of two coupled harmonic oscillators may be analyzed using a Schr\"odinger equation and an effective non-Hermitian Hamiltonian. This may be achieved by a non-unitary transformation that involves superoperators; such transformation enables the removal of quantum jump superoperators, that allows us to rewrite the Lindblad master equation in terms of a von Neumann-like equation with an effective non-Hermitian Hamiltonian. This may be generalized to an arbitrary number of interacting fields. Finally, by applying an extra non-unitary transformation, we may diagonalize the effective non-Hermitian Hamiltonian to obtain the evolution of any input state in a fully quantum domain.
Keywords
Cite
@article{arxiv.2304.05566,
title = {Exact solution for the interaction of two decaying quantized fields},
author = {L. Hernández-Sánchez and I. Ramos-Prieto and F. Soto-Eguibar and H. M. Moya-Cessa},
journal= {arXiv preprint arXiv:2304.05566},
year = {2023}
}