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Open Quantum Systems Decoherence
On the existence of the KMS spectral gap in Gaussian quantum Markov semigroups
arXiv
Authors: Zheng Li
Year
2025
Paper ID
36125
Status
Preprint
Abstract Read
~2 min
Abstract Words
95
Citations
N/A
Abstract
In arXiv:2405.04947, it was shown that the GNS spectral gap of a Gaussian quantum Markovian generator is strictly positive if and only if there exists a maximal number of linearly independent noise operators, under the assumption that the generated semigroup admits a unique faithful normal invariant state. In this paper, we provide a necessary and sufficient condition for the existence of the KMS spectral gap, which also depends only on the noise operators of the generator. We further show that the existence of the GNS spectral gap implies the existence of the KMS spectral gap.
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- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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- In arXiv:2405.04947, it was shown that the GNS spectral gap of a Gaussian quantum Markovian generator is strictly positive if and only if there exists a maximal number of...
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