晶格相移和混合角的精确测定
Precise determination of lattice phase shifts and mixing angles
摘要：
我们介绍了一个通用的和准确的方法来确定晶格相移和混合角，这是适用于任意的，非立方晶格。我们的方法结合了角动量投影，球壁边界和一个可调的辅助势。这使我们能够构建径向晶格波函数，并确定在任意能量的相移。对于耦合分波，我们使用一个复值辅助势，打破时间反演不变性。我们基准我们的方法使用一个系统的两个自旋1/2的粒子通过有限范围内的潜力与强张量分量的相互作用。我们能够提取相移和混合角的所有角动量和能量，精度大于现存的方法。我们讨论了从核晶格模拟到光晶格实验的广泛应用。
英文摘要：
We introduce a general and accurate method for determining lattice phase shifts and mixing angles, which is applicable to arbitrary, non-cubic lattices. Our method combines angular momentum projection, spherical wall boundaries and an adjustable auxiliary potential. This allows us to construct radial lattice wave functions and to determine phase shifts at arbitrary energies. For coupled partial waves, we use a complex-valued auxiliary potential that breaks time-reversal invariance. We benchmark our method using a system of two spin-1/2 particles interacting through a finite-range potential with a strong tensor component. We are able to extract phase shifts and mixing angles for all angular momenta and energies, with precision greater than that of extant methods. We discuss a wide range of applications from nuclear lattice simulations to optical lattice experiments.
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