p -wave contacts of quantum gases in quasi-one-dimensional and quasi-two-dimensional traps
p -wave contacts of quantum gases in quasi-one-dimensional and quasi-two-dimensional traps
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DOI：
10.1103/physreva.104.043303
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发表时间：
2021-06
影响因子：
2.9
通讯作者：
M. He;Qi Zhou
中科院分区：
文献类型：
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作者：
M. He;Qi Zhou
准一维或准二维陷阱中稀薄量子气体的长度尺度分离在空间上将系统划分为两个不同的区域。虽然在严格的一维或二维中定义的宇宙关系适用于比横向约束的特征长度大得多的尺度，但在较短距离内的物理观测不可避免地受到三维接触的支配。在这里，我们证明了定义在不同长度尺度上的p波接触本质上是由一种普适关系联系在一起的，该普适关系取决于横向约束的一个简单的几何因子。虽然这个普适关系是针对其中一种p波接触导出的，但它建立了一个具体的例子，说明了空间交叉如何与任意部分波散射的接触和普适关系相互作用。
The length scale separation in dilute quantum gases in quasi-one-dimensional or quasi-two-dimensional traps has spatially divided the system into two distinct regimes. Whereas universal relations defined in strict one or two dimensions apply in a scale that is much larger than the characteristic length of the transverse confinements, physical observables in the short distances are inevitably governed by three-dimensional contacts. Here, we show that p-wave contacts defined in different length scales are intrinsically connected by a universal relation, which depends on a simple geometric factor of the transverse confinements. While this universal relation is derived for one of the p-wave contacts, it establishes a concrete example of how dimensional crossover interplays with contacts and universal relations for arbitrary partial wave scatterings.