用原子干涉仪研究超轻标量暗物质的环境依赖性
Investigating the environmental dependence of ultralight scalar dark matter with atom interferometers
摘要：
研究了超轻标量暗物质与标准模型粒子线性相互作用的环境依赖性。DM场的解是宇宙谐振荡项和局域指数涨落项之和。第一项的振幅取决于局部DM密度和DM场的质量。第二项是由物质的局部分布引起的，例如地球。它不仅取决于地球的质量，也取决于地球的密度。然后，通过求解原子的运动轨迹，计算了DM场在原子干涉仪中引起的相移。特别地，计算了由DM场引起的违反弱等效原理（WEP）的AI信号。取决于DM耦合参数的值，DM场的第一项和第二项对WEP违反的贡献可以是相当的，或者一个大于另一个。最后，我们给出了一些约束DM耦合参数从地面原子WEP测试的结果。
英文摘要：
We study the environmental dependence of ultralight scalar dark matter (DM) with linear interactions to the standard model particles. The solution to the DM field turns out to be a sum of the cosmic harmonic oscillation term and the local exponential fluctuation term. The amplitude of the first term depends on the local DM density and the mass of the DM field. The second term is induced by the local distribution of matter, such as the Earth. And it depends not only on the mass of the Earth, but also the density of the Earth. Then, we compute the phase shift induced by the DM field in atom interferometers (AIs), through solving the trajectories of atoms. Especially, the AI signal for the violation of weak equivalence principle (WEP) caused by the DM field is calculated. Depending on the values of the DM coupling parameters, contributions to the WEP violation from the first and second terms of the DM field can be either comparable or one larger than the other. Finally, we give some constraints to DM coupling parameters using results from the terrestrial atomic WEP tests.
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