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Annals of Physics

Geometric phase of entangled atomic qubits coupled to Lorentzian reservoirs

Mingfeng Chen, Rongxin Chen, Zhen‐Biao Yang

Published Sep 29, 2017• 1 citation
Publisher
DOI
10.1016/j.aop.2017.09.011

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We studied the geometric phase of a two-level atom coupled to an environment with Lorentzian spectral density. The non-Markovian effect on the geometric phase is explored analytically and numerically. In the weak coupling limit, the lowest order correction to the geometric phase is derived analytically and the general case is calculated numerically. It was found that the correction to the geometric phase is significantly large if the spectral width is small, and in this case the non-Markovian dynamics has a significant impact on the geometric phase. When the spectral width increases, the correction to the geometric phase becomes negligible, which shows the robustness of the geometric phase to the environmental white noises. The result is significant to the quantum information processing based on the geometric phase.