弱无序玻色混合物中的量子液滴

近日，阿尔及利亚哈西巴·本布阿里大学的Abdelaali Boudjemaa课题组研究了弱无序玻色混合物中的量子液滴。相关成果已于2023年3月7日在国际学术期刊《物理评论A》上发表。

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该课题组研究了在零和有限温度下，带有高斯相关函数的弱随机势场中三维玻色混合物自束缚液滴的性质。利用Bogoliubov理论，研究人员推导出了液滴的基态能量、平衡密度、耗散和异常密度的有用公式。他们还系统地计算了由无序导致的量子涨落，即所谓的玻璃相分数。在有限温度下，他们根据无序参数计算了液滴的自由能、热平衡密度和临界温度。研究结果表明，当无序势场的强度和相关长度超过某一临界值时，液滴会蒸发并最终完全破坏。

此外，研究人员通过相应的广义无序Gross-Pitaevskii方程的数值模拟计算了这种奇异态的密度分布。他们的预测表明，随着无序强度的增大，原子密度在平台区域内会迅速变化。他们还指出无序和排斥的Lee-Huang-Yang修正的特殊相互作用在自束缚液滴的集体模式中起着关键作用。

附：英文原文

Title: Quantum liquid droplets in Bose mixtures with weak disorder

Author: Karima Abbas, Abdelaali Boudjemaa

Issue&Volume: 2023/03/07

Abstract: We study the properties of self-bound liquid droplets of three-dimensional Bose mixtures in a weak random potential with Gaussian correlation function at both zero and finite temperatures. Using the Bogoliubov theory, we derive useful formulas for the ground-state energy, the equilibrium density, the depletion, and the anomalous density of the droplet. The quantum fluctuation induced by the disorder known as the glassy fraction is also systematically computed. At finite temperature, we calculate the free energy, the thermal equilibrium density, and the critical temperature in terms of the disorder parameters. We show that when the strength and the correlation length of the disorder potential exceed a certain critical value, the droplet evaporates and is eventually entirely destroyed. We calculate the density profiles of this exotic state by means of numerical simulations of the corresponding generalized disorder Gross-Pitaevskii equation. Our predictions reveal that as the strength of the disorder gets larger, the atomic density varies rapidly in the plateau region. We point out in addition that the peculiar interplay of the disorder and the repulsive Lee-Huang-Yang corrections play a pivotal role in the collective modes of the self-bound droplet.

DOI: 10.1103/PhysRevA.107.033306

Source: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.107.033306

来源：科学网小柯机器人