Spinor physics of magnetically trapped atomic quantum gases

原子量子气体可以被限制在磁阱或光阱中。旋量物理学的研究通常使用光学陷阱，例如最近在原子凝聚体内部自旋混合的量子动力学的积极努力，以及在不同塞曼态的库珀配对费米子原子的BCS到BEC交叉。 被磁捕获的原子被限制在相同的内部状态，该内部状态遵循场的局部方向。它们通常不被认为是旋量物理学的潜在候选者，除非有一个以上的塞曼态可以几乎相同地被捕获。本研究旨在探讨磁囚禁原子量子气体旋量物理的一个新的方面。一般来说，我们认为，由于发散自由和旋度自由的要求，陷阱场的方向变化使得有必要考虑磁囚禁原子作为旋量（在任何实验室固定的量子化轴上）。

Atomic quantum gases can be confined in either magnetic or optical traps. The study of spinor physics usually employs optical traps, for example as in active recent efforts of the quantum dynamics for spin mixing inside atomic condensates, and of the BCS to BEC crossover with cooper paired fermionic atoms in distinct Zeeman states. Magnetically trapped atoms are confined in the same internal state that adiabatically follows the local direction of the field. They are not usually considered potential candidates for spinor physics except when more than one Zeeman state can be nearly identically trapped. This study proposes to investigate a new aspect of spinor physics of magnetically trapped atomic quantum gases. Quite generally, we propose that the changing directions of the trap field due to both the requirements of divergence free and curl free make it necessary to consider magnetically trapped atoms as spinors (viewedin any laboratory fixed quantization axis).