论文标题
可积极的活性原子干涉法
Integrable active atom interferometry
论文作者
论文摘要
主动干涉仪旨在通过在干涉仪内部产生纠缠超出标准量子限制的相位灵敏度。该设备的原子版本可以通过旋转玻色 - 因斯坦冷凝物的构建，其$ f = 1 $地面层流中，旋转变化的碰撞会产生$ m = \ pm1 $原子的纠缠对。我们使用Bethe ANSATZ技术来找到哈密顿量的精确本征和特征值，以建模这种旋转变化的碰撞。使用这些结果，我们以伯特速度表达了干涉仪的相位灵敏度，Fisher信息和Hellinger距离。通过评估这些表达式，我们研究了缩放特性和干涉仪的表现，在整个哈密顿量下的表现，该表达式模拟了旋转变化的碰撞，即，没有迫使该模型进入SU（1,1）干涉框架的早期作品的理想化近似值。
Active interferometers are designed to enhance phase sensitivity beyond the standard quantum limit by generating entanglement inside the interferometer. An atomic version of such a device can be constructed by means of a spinor Bose-Einstein condensate with an $F=1$ groundstate manifold in which spin-changing collisions create entangled pairs of $m=\pm1$ atoms. We use Bethe Ansatz techniques to find exact eigenstates and eigenvalues of the Hamiltonian that models such spin-changing collisions. Using these results, we express the interferometer's phase sensitivity, Fisher information, and Hellinger distance in terms of the Bethe rapidities. By evaluating these expressions we study scaling properties and the interferometer's performance under the full Hamiltonian that models the spin-changing collisions, i.e., without the idealising approximations of earlier works that force the model into the framework of SU(1,1) interferometry.
