标题： 噪声驱动环境中退相干的动力学 显示英文标题

标题： Dynamics of decoherence in a noisy driven environment

摘要： 我们分析了中心自旋与具有时变噪声磁场的自旋链耦合下的退相干动力学，重点关注噪声如何影响系统的退相干。 我们的结果显示，在非平衡临界动力学环境下由于噪声引起的退相干被放大，无论是不相关噪声还是相关高斯噪声。 我们证明退相干因子始终标志着临界点，并且随着系统大小、噪声强度的平方以及临界点处的噪声关联时间呈指数增长。 我们发现，量子比特与环境之间的强耦合会导致退相干的部分回复，这种回复随着噪声强度的增加或噪声关联时间的减少而减弱。 相反，弱耦合导致单调增强的退相干。 数值结果表明，这些回复随噪声强度呈指数衰减。 此外，回复增加并且与噪声关联时间呈线性或幂律关系，这取决于关联噪声的速度快慢。 另外，我们探讨了动力学的非马尔可夫特性，发现噪声存在时该特性会衰减，但随着噪声关联时间的增长而增加。 显示英文摘要

摘要： We analyze the decoherence dynamics of a central spin coupled to a spin chain with a time-dependent noisy magnetic field, focusing on how noise influences the system's decoherence. Our results show that decoherence due to the nonequilibrium critical dynamics of the environment is amplified in the presence of uncorrelated and correlated Gaussian noise. We demonstrate that decoherence factor consistently signals the critical points, and exhibits exponential scaling with the system size, the square of noise intensity, and the noise correlation time at the critical points. We find that strong coupling between the qubit and the environment leads to partial revivals of decoherence, which diminish with increasing noise intensity or decreasing noise correlation time. In contrast, weak coupling leads to monotonic enhanced decoherence. The numerical results illustrate that, the revivals decay and scale exponentially with noise intensity. Moreover, the revivals increase and indicate linear or power law scaling with noise correlation time depends on how the correlated noise is fast or slow. Additionally, we explore the non-Markovianity of the dynamics, finding that it decays in the presence of noise but increases as the noise correlation time grows.