无分波分析的量子散射问题

高阶分波散射的准厄米赝势

A quasi-Hermitian pseudopotential for higher partial wave scattering

我们制定了一个新的准厄米三角壳赝势较高的分波散射，并表明，任何这样的潜力必须有一个能量依赖的正则化。准厄米性的哈密顿量导致一个完整的双正交波函数，可以用来作为基础，以扩大和对角化其他两体哈密顿量。我们证明了这一过程的情况下，超冷原子的偏振梯度光晶格，相互作用时，两个原子被运输到一起从单独的晶格网站。在这里，赝势明确地取决于俘获势。此外，我们计算的陷阱诱导的共振较高的分波，发生时，分子本征态转移到陷阱本征态共振的位置。我们验证的赝势的方法使用一个玩具模型，其中一个方井作为真正的相互作用势的准确性，并看到很好的协议。

Adiabatic asymmetric scattering of atoms in the field of a standing wave

A model of the asymmetric coherent scattering process (caused by initial atomic wave-packet splitting in the momentum space) taking place at the large detuning and adiabatic course of interaction for an effective two-state system interacting with a standing wave of laser radiation is discussed. We show that the same form of initial wave-packet splitting may lead to different, in general, diffraction patterns for opposite, adiabatic and resonant, regimes of the standing-wave scattering. We show that the scattering of the Gaussian wave packet in the adiabatic case presents refraction (a limiting…

Born approximation for scattering of wave packets on atoms. I. Theoretical background for scattering of a wave packet on a potential field

Laser photons carrying non-zero orbital angular momentum are known and exploited during the last twenty years. Recently it has been demonstrated experimentally that such (twisted) electrons can be produced and even focused to a subnanometer scale. Thus, twisted electrons emerge as a new tool in atomic physics. The state of a twisted electron can be considered as a specific wave packet of plane waves. In the present paper-I we consider elastic scattering of the wave packets of fast non-relativistic particles on a potential field. We obtain simple and convenient formulae for a number of events i…

Experimental Determination of p-wave Scattering Parameters in ultracold 6Li atoms

We report the experimental determination of the scattering parameters for a p-wave Feshbach resonance in a single component Fermi gas of 6Li atoms in the lowest spin state. The time scale of the cross-dimensional relaxation reflects the elastic scattering rate of the atoms, and scattering parameters are determined from the scattering rate as a function of magnetic field by taking into account the momentum distribution and inhomogeneous density profile of the atoms in a trap. Precise determination of the scattering parameters for a p-wave Feshbach resonance is an important step toward the reali…

Analytical treatment of bosonic d-wave scattering in isotropic harmonic waveguides

We analyze d-wave resonances in atom-atom scattering in the presence of harmonic confinement by employing a higher partial wave pseudopotential. Analytical results for the scattering amplitude and transmission are obtained and compared to corresponding numerical ones, which employ the Lennard-Jones potential. Qualitative agreement is observed for weak confinement. For strong confinement the pseudopotential does not capture the s- and d-wave interference phenomena yielding an asymmetric Fano profile for the transmission resonance.

Resonant d-wave scattering in harmonic waveguides

We observe and analyze d-wave resonant scattering of bosons in tightly confining harmonic waveguides. It is shown that the d-wave resonance emerges in the quasi-1D regime as an imprint of a 3D d-wave shape resonance. A scaling relation for the position of the d-wave resonance is provided. By changing the trap frequency, ultracold scattering can be continuously tuned from s-wave to d-wave resonant behavior. The effect can be utilized for the realization of ultracold atomic gases interacting via higher partial waves and opens a novel possibility for studying strongly correlated atomic systems be…