论文标题
在两个级别系统中随机共振中的非马克维亚效应
Non-Markovian effects in stochastic resonance in a two level system
论文作者
论文摘要
随机共振是一种现象，其中环境噪声增强了对外部驾驶的响应信号。在量子体制中，环境的效果通常是本质上非马克维亚人的。由于这种非马克维亚量子噪声和外部驱动力的结合，很难评估相关函数，因此很难进行功率谱。尽管如此，最近开发的算法称为时间不断发展的矩阵产品运营商（TEMPO），其扩展程序为此任务提供了有效且数值确切的方法。使用节奏，我们研究了两个级别系统中量子随机共振中的非马克维亚效应。计算周期信号和时间平均渐近相关函数以及功率谱。从功率谱中评估了信噪比。结果表明，非马克维亚效应提高了信号强度和信噪比，这表明非马克维亚效应在量子随机共振中的重要性。此外，我们表明非马克维亚效应可以改变背景噪声功率谱的峰位置。
Stochastic resonance is a phenomenon where the response signal to external driving is enhanced by environment noise. In quantum regime, the effect of environment is often intrinsically non-Markovian. Due to the combination of such non-Markovian quantum noise and external driving force, it is difficult to evaluate the correlation function and hence the power spectrum. Nevertheless, a recently developed algorithm, which is called time-evolving matrix product operators (TEMPO), and its extensions provide an efficient and numerically exact approach for this task. Using TEMPO we investigate non-Markovian effects in quantum stochastic resonance in a two level system. The periodic signal and the time-averaged asymptotic correlation function, along with the power spectrum, are calculated. From the power spectrum the signal-to-noise ratio is evaluated. It is shown that both signal strength and signal-to-noise ratio are enhanced by non-Markovian effects, which indicates the importance of non-Markovian effects in quantum stochastic resonance. In addition, we show that the non-Markovian effects can shift the peak position of the background noise power spectrum.
