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Open Quantum Systems Decoherence

Positivity violations of the density operator in the Caldeira-Leggett master equation

arXiv
Authors: G. Homa, J. Z. Bernád, L. Lisztes

Year

2018

Paper ID

23973

Status

Preprint

Abstract Read

~2 min

Abstract Words

100

Citations

N/A

Abstract

The Caldeira-Leggett master equation as an example of Markovian master equation without Lindblad form is investigated for mathematical consistency. We explore situations both analytically and numerically where the positivity violations of the density operator occur. We reinforce some known knowledge about this problem but also find new surprising cases. Our analytical results are based on the full solution of the Caldeira-Leggett master equation obtained via the method of characteristics. The preservation of positivity is mainly investigated with the help of the density operator's purity and we give also some numerical results about the violation of the Robertson-Schrödinger uncertainty relation.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2018 reference point for readers tracking recent quantum research.
  • The Caldeira-Leggett master equation as an example of Markovian master equation without Lindblad form is investigated for mathematical consistency.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1810.07775 [2] arXiv https://arxiv.org/abs/1810.07775 [3] Publisher https://arxiv.org/abs/1810.07775

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