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arXiv quant-ph/0501085quant-ph
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失相系统中的几何相位

Geometric phase in dephasing systems

X. X. Yi, L. C. Wang, W. Wang

摘要:

在量子马尔可夫近似的基础上,我们计算了受相位退相的量子化磁场驱动的二能级系统的几何相位。在弱耦合极限下,相位退化为标准几何相位,它包含了环境的一般相位信息。与耗散系统中的几何相位相反,系统获得的几何相位可以在长时间尺度上观察到。我们还表明,与系统的消粘到其指针状态,几何相位因子往往是一个总和的相位因子有关的指针状态。

英文摘要:

Beyond the quantum Markov approximation, we calculate the geometric phase of a two-level system driven by a quantized magnetic field subject to phase dephasing. The phase reduces to the standard geometric phase in the weak coupling limit and it involves the phase information of the environment in general. In contrast with the geometric phase in dissipative systems, the geometric phase acquired by the system can be observed on a long time scale. We also show that with the system decohering to its pointer states, the geometric phase factor tends to a sum over the phase factors pertaining to the pointer states.

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