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Open Quantum Systems Decoherence

Derivation of the quantum-optical master equation based on coarse-graining of time

arXiv
Authors: Kevin Fischer

Year

2017

Paper ID

24776

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/A

Abstract

This is a derivation of the quantum-optical master equation using coarse-graining of time, which brings new insights into a decades old technique. My derivation is quite similar to derivations using quantum stochastic methods or Kraus operators, though I go through the derivation without explicitly invoking any of these concepts, so it may be easier to follow as an introduction. I also address the major pitfall of nearly all microscopic derivations of the master equation, namely that they assume the state of the system and bath factorize for all times. I show why this assumption actually holds for spontaneous emission, and coincidentally turns out to be correct.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • This is a derivation of the quantum-optical master equation using coarse-graining of time, which brings new insights into a decades old technique.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1712.00144 [2] arXiv https://arxiv.org/abs/1712.00144 [3] Publisher https://arxiv.org/abs/1712.00144

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