We analyze the dynamics of an open system coupled to a nonergodic environment for which the correlation function does not decay, leading to a failure of the weak coupling and Markov approximations standard in open systems. We show that nonergodicity appears for environments at finite temperatures that have non-Gaussian statistics and do not fulfill the eigenstate thermalization hypothesis. We illustrate our statements by considering a thermal spin-boson environment that models a gas of dye molecules, and show that nondecaying correlations are connected to a 1/f noise that extends to zero frequencies. This suggests the idea that nonergodic environments may be at the origin of the 1/f behavior observed in other hybrid environments such as the ones encountered in superconducting qubits.

中文翻译：

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热非遍历环境中的开放量子系统

我们分析了与非遍历环境耦合的开放系统的动力学，在该环境下相关函数不会衰减，从而导致开放系统中的弱耦合和马尔可夫近似标准失效。我们显示非遍历性出现在具有非高斯统计且不满足本征态热化假设的有限温度环境中。我们通过考虑模拟染料分子气体的热自旋玻色子环境来说明我们的陈述，并表明非衰减相关性与扩展到零频率的1 / f噪声有关。这表明非遍历环境可能是在其他混合环境（例如超导量子位中遇到的环境）中观察到的1 / f行为的起源的想法。