标题： 非平衡状态下弱无序升高的玻色-爱因斯坦凝聚体的动力学特性 显示英文标题

标题： Out-of-equilibrium dynamical properties of Bose-Einstein condensates in a ramped up weak disorder

摘要： 我们理论研究了弱相互作用的超冷玻色气体的超流和凝聚体形变在外部弱无序势梯度上升过程中的演化。 这两种产生的形变显然由两个不同的贡献组成，即可逆的平衡贡献，早在1992年Huang和Meng就已预测到，以及非平衡的动力学贡献，其大小取决于梯度协议的细节。 对于指数梯度上升协议的特殊情况，我们能够推导出上述量的解析时间依赖表达式。 经过足够长的时间后，会形成一个通常处于非平衡状态的稳态。 我们通过研究其弛豫动力学，迈出了研究其性质的第一步。 此外，我们分析了两时间关联函数，并阐明了它与凝聚体形变的平衡部分和动力学部分之间的关系。 显示英文摘要

摘要： We theoretically study how the superfluid and condensate deformation of a weakly interacting ultracold Bose gas evolve during the ramp-up of an external weak disorder potential. Both resulting deformations turn out to consist of two distinct contributions, namely a reversible equilibrium one, already predicted by Huang and Meng in 1992, and a nonequilibrium dynamical one, whose magnitude depends on the details of the ramping protocol. For the specific case of the exponential ramp-up protocol, we are able to derive analytical time-dependent expressions for the above quantities. After a sufficiently long time, a steady state emerges that is generically out of equilibrium. We take the first step in investigating its properties by studying its relaxation dynamics. In addition, we analyze the two-time correlation function and elucidate its relation to the equilibrium and the dynamical part of the condensate deformation.