Related papers: Exact solution for the interaction of two decaying quantized fields

Exact solution for the interaction of two decaying quantized fields

URL: http://arxiv.org/abs/2304.05566v1
Date: Wed, 12 Apr 2023 02:05:14 GMT
Title: Exact solution for the interaction of two decaying quantized fields
Authors: L. Hern\'andez-S\'anchez, I. Ramos-Prieto, F. Soto-Eguibar, H. M. Moya-Cessa
Abstract summary: 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. We may diagonalize the effective non-Hermitian Hamiltonian to obtain the evolution of any input state in a fully quantum domain.
Score: 0.9449650062296824
License: http://creativecommons.org/publicdomain/zero/1.0/
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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