dorsal/arxiv
View SchemaLindbladian Evolution with Selfadjoint Lindblad Operators as Averaged Random Unitary Evolution
| Authors | D. Salgado, J. L. Sanchez-Gomez |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0208175 |
| URL | https://arxiv.org/abs/quant-ph/0208175 |
Abstract
It is shown how any Lindbladian evolution with selfadjoint Lindblad operators, either Markovian or nonMarkovian, can be understood as an averaged random unitary evolution. Both mathematical and physical consequences are analyzed. First a simple and fast method to solve this kind of master equations is suggested and particularly illustrated with the phase-damped master equation for the multiphoton resonant Jaynes-Cummings model in the rotating-wave approximation. A generalization to some intrinsic decoherence models present in the literature is included. Under the same philosophy a proposal to generalize the Jaynes-Cummings model is suggested whose predictions are in accordance with experimental results in cavity QED and in ion traps. A comparison with stochastic dynamical collapse models is also included.
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"date_created": "2026-03-02T18:01:52.879000Z",
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"abstract": "It is shown how any Lindbladian evolution with selfadjoint Lindblad\noperators, either Markovian or nonMarkovian, can be understood as an averaged\nrandom unitary evolution. Both mathematical and physical consequences are\nanalyzed. First a simple and fast method to solve this kind of master equations\nis suggested and particularly illustrated with the phase-damped master equation\nfor the multiphoton resonant Jaynes-Cummings model in the rotating-wave\napproximation. A generalization to some intrinsic decoherence models present in\nthe literature is included. Under the same philosophy a proposal to generalize\nthe Jaynes-Cummings model is suggested whose predictions are in accordance with\nexperimental results in cavity QED and in ion traps. A comparison with\nstochastic dynamical collapse models is also included.",
"arxiv_id": "quant-ph/0208175",
"authors": [
"D. Salgado",
"J. L. Sanchez-Gomez"
],
"categories": [
"quant-ph"
],
"title": "Lindbladian Evolution with Selfadjoint Lindblad Operators as Averaged Random Unitary Evolution",
"url": "https://arxiv.org/abs/quant-ph/0208175"
},
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"type": "Model",
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