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Open Quantum Systems Decoherence
Fractional decay in the spontaneous emission of a two-level system
arXiv
Authors: Hiroki Nakabayashi, Hayato Kinkawa, Takano Taira, Naomichi Hatano
Year
2025
Paper ID
36493
Status
Preprint
Abstract Read
~2 min
Abstract Words
97
Citations
N/A
Abstract
We find that when the environment of a two-level system has an energy spectrum with a lower bound but without an upper one, the survival probability of the spontaneous emission of the two-level system scales with the spatial dimension D and the exponent n of the energy dispersion |vec{k}|n of the environment in the form 1-αt2-D/n in the short-time and in the form αtD/n-2 in the long-time regime. The former fractional scaling of the survival probability leads to a quantum Zeno effect with a different scaling of the Zeno time.
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- We find that when the environment of a two-level system has an energy spectrum with a lower bound but without an upper one, the survival probability of the spontaneous emission...
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