标题： 原子分子玻色凝聚体在高斯噪声存在下的弛豫动力学 显示英文标题

标题： Relaxation Dynamics in Atomic-Molecular Bose Condensates in the Presence of Gaussian Noise

摘要： 我们研究了在存在高斯白噪声的情况下，通过费什巴赫失谐弱耦合的原子和分子玻色子的动力学特性。 利用布洛赫球模型分析了两种物种之间的粒子数不平衡随时间的演化以及系统的相干性。 我们观察到系统表现出布洛赫矢量分量向稳定平衡态的弛豫。 在粒子数不平衡动力学中，由玻利乌波夫-伯恩-格林-基科德（BBGKY）层次结构预测的弛豫速率小于通过简单平均场近似计算得到的速率。 至于相干性动力学，系统中相关性和涨落的引入可能会根据初始条件增加或减少弛豫时间。 我们将弛豫时间的增加归因于结构化噪声的出现以及随后某些去相位通道的抑制。 我们还研究了相关性和涨落对时间平均量如漂移速度、条纹可见度、相位纠缠等的影响，并发现结果与弛豫动力学的特性完全一致。 显示英文摘要

摘要： We investigate the dynamics of atomic and molecular bosons weakly coupled via Feshbach detuning in the presence of Gaussian white noise. The time-evolution of the population imbalance between the two species, as well as the coherence of the system are analyzed using a Bloch sphere model. We observe that the system exhibits relaxation of the Bloch vector components towards a stable equilibrium. In the population imbalance dynamics, the relaxation rates predicted by the Bogoliubov Born Green Kirkwood Yvon (BBGKY) hierarchy are found to be smaller than those calculated with a simple the mean field approximation. As for the coherence dynamics, the inclusion of correlations and fluctuations in the system can either increase or decrease the relaxation time, depending on the initial conditions. We attribute the increase in the relaxation time to the emergence of a structured noise, and the subsequent suppression of certain dephasing channels. We also study the impact of correlations and fluctuations on time-averaged quantities like the drift speed, the fringe visibility, the phase entanglement etc., and find the results to be in perfect agreement with the properties of the relaxation dynamics.