Los Alamos National Laboratory, Theoretical Division T-4 and T-CNLS, Los Alamos, NM 87545, USA.
Sci Rep. 2012;2:648. doi: 10.1038/srep00648. Epub 2012 Sep 11.
A method is proposed to drive an ultrafast non-adiabatic dynamics of an ultracold gas trapped in a time-dependent box potential. The resulting state is free from spurious excitations associated with the breakdown of adiabaticity, and preserves the quantum correlations of the initial state up to a scaling factor. The process relies on the existence of an adiabatic invariant and the inversion of the dynamical self-similar scaling law dictated by it. Its physical implementation generally requires the use of an auxiliary expulsive potential. The method is extended to a broad family of interacting many-body systems. As illustrative examples we consider the ultrafast expansion of a Tonks-Girardeau gas and of Bose-Einstein condensates in different dimensions, where the method exhibits an excellent robustness against different regimes of interactions and the features of an experimentally realizable box potential.
提出了一种方法来驱动被囚禁在时变盒势中的超冷气体的超快非绝热动力学。所得到的状态不会产生与绝热性破坏相关的虚假激发，并保留初始状态的量子相关性，直到一个比例因子。该过程依赖于绝热不变量的存在以及由其决定的动力学自相似标度律的反转。它的物理实现通常需要使用辅助排斥势。该方法扩展到了一大类相互作用的多体系统。作为说明性示例，我们考虑了 Tonks-Girardeau 气体和不同维度的玻色-爱因斯坦凝聚体的超快膨胀，其中该方法在不同相互作用区域和实验可实现盒势的特征下表现出出色的鲁棒性。
