论文标题
通用几个原子系统中N体可调相互作用的出现
Emergence of N-body tunable interactions in universal few-atom system
论文作者
论文摘要
通过考虑接近Feshbach共振的耦合通道，研究了由两个相同的玻色子A和一个不同的B形成的三个分子AAB。假定子系统AB和AA分别具有一个和两个通道，在这种情况下，AA的开放和封闭通道被能量隙分开。单个通道描述中出现的诱导的三体相互作用是使用开放和封闭通道的Feshbach投影算子得出的。在将陷阱设置调节为消失的散射长度的极限中显示出有效的三体相互作用。相应的均匀耦合FADDEEV积分方程是在单位性极限中得出的。除了能量差距外，还通过引入两个有限参数的减法重新归化方案，通过减法重新归化方案获得了AA子系统的S波过渡矩阵。耦合方程中的通道之间的耦合的效果用能隙确定，该能量间隙实质上提供了与范德华段半径竞争的紫外线尺度 - 这设置了开放通道中系统的短距离物理。短距离发生的竞争体现了狭窄的feshbach共振在冷原子设置中的侵犯``van der waals普遍性''。从这个意义上讲，能量差距的积极作用驱动了短距离三体物理物理。
A three-atom molecule AAB, formed by two identical bosons A and a distinct one B, is studied by considering coupled channels close to a Feshbach resonance. It is assumed that the subsystems AB and AA have, respectively, one and two channels, where, in this case, AA has open and closed channels separated by an energy gap. The induced three-body interaction appearing in the single channel description is derived using the Feshbach projection operators for the open and closed channels. An effective three-body interaction is revealed in the limit where the trap setup is tuned to vanishing scattering lengths . The corresponding homogeneous coupled Faddeev integral equations are derived in the unitarity limit. The s-wave transition matrix for the AA subsystem is obtained with a zero-range potential by a subtractive renormalization scheme with the introduction of two finite parameters, besides the energy gap. The effect of the coupling between the channels in the coupled equations is identified with the energy gap, which essentially provides an ultraviolet scale that competes with the van der Waals radius - this sets the short-range physics of the system in the open channel. The competition occurring at short distances exemplifies the violation of the ``van der Waals universality" for narrow Feshbach resonances in cold atomic setups. In this sense, the active role of the energy gap drives the short-range three-body physics.
