Dynamics of Bose-Einstein Condensates

该建议是对非线性结构和气体原子玻色-爱因斯坦凝聚体（BECs）中高度纠缠数态的相位工程工作的延续，以及由此产生的对这种纠缠态的检测和量子宏观叠加态相对相位测量的工作建议。此外，PI正在开发一种组合计算理论，该理论包括“全”平均场效应，通过求解耦合GP （Gross-Piteavskii）方程，同时对相关进行全（或近似两个以上井阱）处理，从而适当地维持分裂凝聚体之间的相关系，并且可以描述海森堡有限测量所需的相干态和纠缠态。正确处理相关效应和平均场效应需要大量的计算和智力，但对于当前实验的建模以及对凝析油行为进行现实的预测是必要的。

The proposal is a continuation of work on phase engineering of non-linear structures, and highly entangled number states in gaseous atomic Bose-Einstein condensates, or BECs, and proposals for work, growing out of this, in the actualities of detection of such entangled states, and the masurement of the relative phase of quantum macroscopic superposition states. In addition, the PI is developing a combined computational theory which includes "full" mean field effects, through solution of coupled GP (Gross-Piteavskii) equations, and simultaneously full (or approximate for more than two well traps) treatment of correlations, so that phase relations between split" condensates are properly maintained, and the coherent and entangled states needed for Heisenberg limited measurements can be described. Correct treatment of both correlation and mean-field effects is computationally and intellectually intensive, but necessary for modeling current experiments, as well as making realistic predictions of condensate behavior.