Petter D, Natale G, van Bijnen R M W, Patscheider A, Mark M J, Chomaz L, Ferlaino F
Institut für Experimentalphysik, Universität Innsbruck, Technikerstraße 25, 6020 Innsbruck, Austria.
Institut für Quantenoptik und Quanteninformation, Österreichische Akademie der Wissenschaften, Technikerstraße 21a, 6020 Innsbruck, Austria.
Phys Rev Lett. 2019 May 10;122(18):183401. doi: 10.1103/PhysRevLett.122.183401.
We measure the excitation spectrum of a stable dipolar Bose-Einstein condensate over a wide momentum range via Bragg spectroscopy. We precisely control the relative strength ε_{dd} of the dipolar to the contact interactions and observe that the spectrum increasingly deviates from the linear phononic behavior for increasing ε_{dd}. Reaching the dipolar-dominated regime ε_{dd}>1, we observe the emergence of a roton minimum in the spectrum and its softening towards instability. We characterize how the excitation energy and the strength of the density-density correlations at the roton momentum vary with ε_{dd}. Our findings are in excellent agreement with numerical calculations based on mean-field Bogoliubov theory. When including beyond-mean-field corrections, in the form of a Lee-Huang-Yang potential, we observe a quantitative deviation from the experiment, questioning the validity of such a description in the roton regime.
我们通过布拉格光谱法在很宽的动量范围内测量了稳定偶极玻色-爱因斯坦凝聚体的激发光谱。我们精确控制偶极相互作用与接触相互作用的相对强度ε_{dd},并观察到随着ε_{dd}的增加,光谱越来越偏离线性声子行为。当达到偶极主导区域ε_{dd}>1时,我们观察到光谱中出现了一个罗顿极小值,并且它朝着不稳定性软化。我们表征了激发能量以及在罗顿动量处密度-密度关联强度如何随ε_{dd}变化。我们的发现与基于平均场博戈留波夫理论的数值计算结果非常吻合。当以李-黄-杨势的形式包含超越平均场修正时,我们观察到与实验存在定量偏差,这对在罗顿区域这种描述的有效性提出了质疑。