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Open Quantum Systems Decoherence Quantum Chemistry

On dynamical semigroup for damped driven Jaynes-Cummings equations

arXiv

Authors: A. I. Komech, E. A. Kopylova

Year

2026

Paper ID

30641

Status

Preprint

Abstract Read

~2 min

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Abstract

The article addresses the damped driven Jaynes-Cummings for quantised one-mode Maxwell field coupled to a two-level molecule. We consider a broad class of damping and pumping which are polynomial in the creation and annihilation operators. Our main result is the construction of a contraction dynamical semigroup in the Hilbert space of Hermitian Hilbert-Schmidt operators in the case of a nonpositive dissipation operator and time-independent pumping. All trajectories of the semigroup are generalised solutions to the Jaynes-Cummings equations. As a key example, we prove nonpositivity for the basic dissipation operator of Quantum Optics.

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This paper contributes to the Quantum Chemistry research area in the Quantum Articles archive.
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The article addresses the damped driven Jaynes-Cummings for quantised one-mode Maxwell field coupled to a two-level molecule.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2603.17553 [2] arXiv https://arxiv.org/abs/2603.17553 [3] Publisher https://arxiv.org/abs/2603.17553

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