论文标题
Efimov效应在外部场引起的非全能维度
Efimov effect in non-integer dimensions induced by an external field
论文作者
论文摘要
EFIMOV效应可以通过外部变形的一体场诱导，从而有效地将允许的空间尺寸降低至小于三。为了理解这种新机制，从概念上和实践上讲，我们使用非全能维度采用公式，这等同于外部振荡器场的强度。当至关重要的两体系统在三个中未结束，但以两个维度结合时，最清楚地出现了效果。我们讨论能量变化，发生的条件和Efimov状态的数量作为维度的功能。我们使用$^{133} $ CS的冷原子物理学的实例 - $^{133} $ cs-$^{133} $ cs，$^{87} $ rb- $^{87} $ rb- $ rb- $^{87}美元可以使用两个独立的参数进行实验室测试，即外部一体场和Feshbach的两体调整。这些Efimov状态的缩放和（dis）外观正如已经在三个维度中发现的那样出现。
The Efimov effect can be induced by means of an external deformed one-body field that effectively reduces the allowed spatial dimensions to less than three. To understand this new mechanism, conceptually and practically, we employ a formulation using non-integer dimension, which is equivalent to the strength of an external oscillator field. The effect most clearly appears when the crucial two-body systems are unbound in three, but bound in two, dimensions. We discuss energy variation, conditions for occurrence, and number of Efimov states, as functions of the dimension. We use practical examples from cold atom physics of $^{133}$Cs-$^{133}$Cs-$^{133}$Cs, $^{87}$Rb-$^{87}$Rb-$^{87}$Rb, $^{133}$Cs-$^{133}$Cs-$^{6}$Li, and $^{87}$Rb-$^{87}$Rb-$^{39}$K. Laboratory tests of the effect can be performed with two independent parameters, i.e. the external one-body field and the Feshbach two-body tuning. The scaling and (dis)appearance of these Efimov states occur precisely as already found in three dimensions.
