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arXiv · 2304.05566

Exact solution for the interaction of two decaying quantized fields

L. Hernández-Sánchez·I. Ramos-Prieto·F. Soto-Eguibar·H. M. Moya-Cessa
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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.

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L. Hernández-Sánchez, I. Ramos-Prieto, F. Soto-Eguibar, H. M. Moya-Cessa. 2023-04-12. Exact solution for the interaction of two decaying quantized fields. https://arxiv.org/abs/2304.05566

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