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

Fuente: arXiv
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Autore principale: Fogedby, Hans C.
Natura: Preprint
Pubblicazione: 2026
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author Fogedby, Hans C.
author_facet Fogedby, Hans C.
contents We consider the recent proposal of steady state coherences in a single qubit in the case of a composite system-bath interaction. Based on a field theoretical approach we reanalyse the issue within a Redfield description. We find that the Redfield approach in accordance with a recent proposal yields steady state coherences but also violates the properties of a quantum map yielding 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.
format Preprint
id arxiv_https___arxiv_org_abs_2602_15790
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Steady state coherence in a qubit is incompatible with a quantum map
Fogedby, Hans C.
Quantum Physics
We consider the recent proposal of steady state coherences in a single qubit in the case of a composite system-bath interaction. Based on a field theoretical approach we reanalyse the issue within a Redfield description. We find that the Redfield approach in accordance with a recent proposal yields steady state coherences but also violates the properties of a quantum map yielding 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.
title Steady state coherence in a qubit is incompatible with a quantum map
topic Quantum Physics
url https://arxiv.org/abs/2602.15790