Spinor physics of magnetically trapped atomic quantum gases

原子量子气体既可以被限制在磁陷阱中，也可以被限制在光陷阱中。旋量物理的研究通常使用光学陷阱，例如，最近量子动力学在原子凝聚体中进行自旋混合的活跃努力，以及BCS与库珀成对费米子原子在不同塞曼状态下的交叉。被磁捕获的原子被限制在与绝热沿场的局部方向相同的内部状态中。它们通常不被认为是旋量物理的潜在候选者，除非当一个以上的塞曼态可以几乎相同地被捕获时。这项研究建议研究磁囚禁原子量子气体的旋量物理的一个新方面。一般而言，我们提出由于无发散和无旋度的要求而引起的陷场方向的变化，使得有必要将被磁捕获的原子视为旋量(可以在任何实验室固定的量子化轴上看到)。

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).