极化费米子从无碰撞到碰撞自旋动力学的交叉
Crossover from collisionless to collisional spin dynamics of polarized fermions
摘要：
研究了高温极限下囚禁极化费米气体的横自旋动力学。在非相互作用的无碰撞机制中，磁场梯度诱导集体自旋波振荡。在强相互作用碰撞区，动力学由自旋扩散控制。这两个极限已经在实验和理论上得到了广泛的研究，但它们之间的交叉却很少受到关注。本文利用量子玻尔兹曼方程研究了横向自旋动力学，并展示了在高温极限下，激发是如何从色散演化到扩散的。我们提供的解析解在两个限制制度，这与我们的数值结果吻合得很好。
英文摘要：
We study the transverse spin dynamics of trapped polarized Fermi gases in the high temperature limit. In the non-interacting collisionless regime, a magnetic field gradient induces collective spin wave oscillations. In the strongly interacting collisional regime, the dynamics are governed by spin diffusion. These two limits have been extensively studied both experimentally and theoretically, but the crossover between them has received less attention. In this paper, we use a quantum Boltzmann equation to study transverse spin dynamics and show how the excitations evolve from dispersive to diffusive in the high temperature limit. We provide analytical solutions in the two limiting regimes, which agree well with our numerical results.
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