从第一性原理到关联多费米子系统的量子流体理论
Towards a Quantum Fluid Theory of Correlated Many-Fermion Systems from First Principles
摘要：
相关的多费米子系统出现在温暖的致密物质，等离子体激元和超冷原子中的广泛现象中。量子流体力学（QHD）补充了常见的第一原理方法的多费米子系统，使模拟在更大的长度和更长的时间尺度。虽然量子玻姆势是中央QHD，我们说明了它的失败，强扰动。我们通过利用多费米子量子玻姆势将QHD推广到这一领域。这开辟了道路，以更准确的模拟在强烈扰动温暖的致密物质，不均匀的量子等离子体，并在纳米结构表面的尺度无法达到的第一原理算法。多费米子量子玻姆势也可能在发展共形不变宇宙学中有重要的天体物理应用。
英文摘要：
Correlated many-fermion systems emerge in a broad range of phenomena in warm dense matter, plasmonics, and ultracold atoms. Quantum hydrodynamics (QHD) complements common first-principles methods for many-fermion systems and enables simulations at larger length and longer time scales. While the quantum Bohm potential is central to QHD, we illustrate its failure for strong perturbations. We extend QHD to this regime by utilizing the many-fermion quantum Bohm potential. This opens up the path to more accurate simulations in strongly perturbed warm dense matter, inhomogeneous quantum plasmas, and on nano-structure surfaces at scales unattainable with first-principles algorithms. The many-fermion quantum Bohm potential might also have important astrophysical applications in developing conformal-invariant cosmologies.
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