Trap-induced resonances in controlled collisions of cesium atoms
Trap-induced resonances in controlled collisions of cesium atoms
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铯原子受控碰撞中的陷阱诱导共振
DOI：
10.1103/physreva.73.032701
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发表时间：
2005
影响因子：
2.9
通讯作者：
I. Deutsch
中科院分区：
文献类型：
--
作者：
R. Stock;I. Deutsch
我们考虑观察陷阱诱导共振的可行性[Stock等人，物理修订信函91，183201（2003）]的情况下，两个^{133}\mathrm{Cs}$原子，被困在分离的威尔斯的偏振梯度光学晶格，并通过多通道散射过程相互作用。由于铯二聚体的散射长度非常大，阱的振动态和弱束缚分子态之间可以发生强耦合，弱束缚分子态通过晶格的交流斯塔克位移共振。通过将短程分子势的Schr“odinger方程解与长程阱的Schr“odinger方程解自洽地联系起来，计算了双原子系统的能谱随两个势威尔斯之间距离的变化.短程势处理通过一个多通道赝势，参数化的$K$矩阵，在一个紧密耦合近似的自由空间中的原子数值计算。这捕获了束缚分子光谱以及所有分波的能量依赖散射。我们建立了现实的操作条件下，陷阱诱导的共振可以观察到，并表明，这种强大的和相干的相互作用可以作为高保真度的双量子比特量子逻辑操作的基础。
We consider the feasibility of observing a trap-induced resonance [Stock et al., Phys. Rev. Lett. 91, 183201 (2003)] for the case of two $^{133}\mathrm{Cs}$ atoms, trapped in separated wells of a polarization-gradient optical lattice, and interacting through a multichannel scattering process. Due to the anomalously large scattering length of cesium dimers, a strong coupling can occur between vibrational states of the trap and a weakly bound molecular state that is made resonant by the ac Stark shift of the lattice. We calculate the energy spectrum of the two-atom system as a function of the distance between two potential wells by connecting the solutions of the Schr\"odinger equation for the short-range molecular potential to that of the long-range trap in a self-consistent manner. The short-range potential is treated through a multichannel pseudopotential, parametrized by the $K$ matrix, calculated numerically for atoms in free space in a close-coupling approximation. This captures both the bound molecular spectrum as well as the energy-dependent scattering for all partial waves. We establish realistic operating conditions under which the trap-induced resonance could be observed and show that this strong and coherent interaction could be used as a basis for high-fidelity two-qubit quantum logic operations.