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Open Quantum Systems Decoherence

Steady state coherence in a qubit is incompatible with a quantum map

arXiv
Authors: Hans C. Fogedby

Year

2026

Paper ID

727

Status

Preprint

Abstract Read

~2 min

Abstract Words

114

Citations

N/A

Abstract

We consider the issue of steady state coherences in a single qubit in the case of a composite system-bath interaction as proposed in \cite{Guarnieri18}. Based on a field theoretical approach we reanalyse the issue within a Redfield description. We find that the Redfield approach in accordance with \cite{Guarnieri18} yields steady state coherences but violating the properties of a quantum map also gives rise to negative populations. The issue is resolved by applying the Lindblad equation which is in accordance with a proper quantum map. The Lindblad equation, however, also implies the absence of steady state coherence. We conclude that steady state coherence in a a qubit is incompatible with a quantum map.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • We consider the issue of steady state coherences in a single qubit in the case of a composite system-bath interaction as proposed in citeGuarnieri18.

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