论文标题
关于碎片的玻色网凝结的表征及其新兴的有效进化
On the characterisation of fragmented Bose-Einstein condensation and its emergent effective evolution
论文作者
论文摘要
碎片的玻色网凝结物在适当的意义上是一个相同的相同玻色子系统的大型玻色子系统。寻求对颗粒数量的领先顺序的碎片冷凝物的有效动态，类似于更受控的情景，以在一个状态下完全凝结，这两者都具有欺骗性，因为仅根据降低的密度矩阵而表征碎片，这是不令人满意的和脉络的，并且很快就可以通过限制的时间来限制，因为很快就会逐渐限制级别的范围，而逐渐限制了降低的级别，而逐渐限制了。在无限多个单身状态下转移职业的签名。 在这项工作中，我们审查了这些困难，我们在边际方面完善了碎片冷凝水的先前特征，并在无限的许多颗粒和无限能量差距的双重限制下为领先的有效动力学提供了定量的收敛速率。
Fragmented Bose-Einstein condensates are large systems of identical bosons displaying \emph{multiple} macroscopic occupations of one-body states, in a suitable sense. The quest for an effective dynamics of the fragmented condensate at the leading order in the number of particles, in analogy to the much more controlled scenario for complete condensation in one single state, is deceptive both because characterising fragmentation solely in terms of reduced density matrices is unsatisfactory and ambiguous, and because as soon as the time evolution starts the rank of the reduced marginals generically passes from finite to infinite, which is a signature of a transfer of occupations on infinitely many more one-body states. In this work we review these difficulties, we refine previous characterisations of fragmented condensates in terms of marginals, and we provide a quantitative rate of convergence to the leading effective dynamics in the double limit of infinitely many particles and infinite energy gap.
