Dynamics of ultracold dipolar particles in a confined geometry and tilted fields
Dynamics of ultracold dipolar particles in a confined geometry and tilted fields
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受限几何结构和倾斜场中超冷偶极粒子的动力学
DOI：
10.1103/physreva.92.042706
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发表时间：
2015
影响因子：
2.9
通讯作者：
O. Dulieu
中科院分区：
文献类型：
--
作者：
G. Qu'em'ener;M. Lepers;O. Dulieu
我们开发了一个碰撞形式主义，适用于超冷偶极粒子在受限的几何形状和相对于限制轴倾斜的领域的动力学。用田谐函数代替通常的球谐函数展开散射波函数，我们恢复了一个很好的量子数$\xi = \pm 1$，它在碰撞过程中是守恒的。我们推导出偶极-偶极相互作用的一般表达式，在这个方便的基组作为一个功能的极角和方位角的领域。我们应用的形式主义的费米和玻色子的极性KRb分子在倾斜的电场和一维光晶格中的碰撞。倾斜场的存在大大改变了反应速率和非弹性速率的大小，以及在碰撞能量消失时的非弹性阈值特性。设置一个适当的强度的限制的费米子系统，我们表明，超冷粒子甚至可以进一步减少其动能的非弹性激发更高的限制陷阱的状态。
We develop a collisional formalism adapted for the dynamics of ultracold dipolar particles in a confined geometry and in fields tilted relative to the confinement axis. Using tesseral harmonics instead of the usual spherical harmonics to expand the scattering wavefunction, we recover a good quantum number $\xi = \pm 1$ which is conserved during the collision. We derive the general expression of the dipole-dipole interaction in this convenient basis set as a function of the polar and azimuthal angles of the fields. We apply the formalism to the collision of fermionic and bosonic polar KRb molecules in a tilted electric field and in a one-dimensional optical lattice. The presence of a tilted field drastically changes the magnitude of the reactive and inelastic rates as well as the inelastic threshold properties at vanishing collision energies. Setting an appropriate strength of the confinement for the fermionic system, we show that the ultracold particles can even further reduce their kinetic energy by inelastic excitation to higher states of the confinement trap.