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Dissipative Landau-Zener transition with decoherence rate

Le Tuan Anh HoLiviu UngurLiviu F. Chibotaru
Dec 2022
摘要
An innovative microscopic model with a minimal number of parameters:tunneling splitting gap, external field sweeping velocity, and decoherence rateis used to describe dynamics of the dissipative Landau-Zener transition in thepresence of the decoherence. In limiting cases, the derived equation of motiongives rise to the well-known Landau-Zener and Kayanuma formula. In a generalcase, the description demonstrates a non-monotonic flipping probability withrespect to the sweeping velocity, which is also found in some other models.This non-monotony can be explained by considering the competition and timescaleof the quantum tunneling, crossing period, and decoherence process. Thesimplicity and robustness of the theory offer a practical and novel descriptionof the Landau-Zener transition. In addition, it promises an alternative methodto the electron paramagnetic resonance in measuring the effective decoherencerate of relevant quantum systems.
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