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早在20世纪50年代, 杨振宁先生和他的合作者们就意识到, 稀薄中性量子气体中最主要的相互作用效应可以被s-波散射长度来描述, 从而可以得到不依赖于粒子间相互作用的细节的普适描述. 这一洞见奠定了量子气体的理论基础. 他们还由此给出了玻色气体基态能量的表达式, 后来被称为“Lee-Huang-Yang修正”. 实验物理学家克服种种困难, 在近40年后的1995年, 才将冷原子气体冷却到量子简并. 此后, 冷原子物理展示出来种种优势, 包括相互作用和维度的可调控性以及测量的精密性, 这使之成为研究量子多体物理的理想平台之一. 多个冷原子实验观测到“Lee-Huang-Yang修正”的效应. 通过有效地降低系统维度, 冷原子实验对一维体系的研究, 还证实了杨先生在20世纪60年代提出的Yang-Yang thermodynamics. 2010年左右, 年逾八旬的杨先生再次研究一维可解模型, 他发现的一维多分量费米子系统的极限行为, 又很快被冷原子实验证实. 通过内态调控产生等效的人工维度, 冷原子体系还可以模拟高维体系的物理, 其中包括实验模拟了杨先生于20世纪70年代提出的 SU(2)非阿贝尔规范场中的Yang monopole这一拓扑解. 这些冷原子物理的进展, 展示了杨先生的这些工作不仅具有理论的深度, 还对实际实验的发展具有长远的影响力.
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关键词:
- 冷原子物理
As early as the 1950s, Prof. Yang and his collaborators realized that the most important interaction effects in a dilute quantum gas can be described by the s-wave scattering length between particles. This insight leads to universal descriptions of the interaction effects without the detailed knowledge of the interaction potential. They derived a formula expanding the energy density in terms of the gas parameter. This formula is later known as the Lee-Huang-Yang correction. However, it took forty years for the experimentalists to overcome several challenges and finally achieve degenerate quantum gases of atoms in 1995. The developments after 1995 have led to an exciting field known as “quantum gases” or “ultracold atomic gases”. The ultracold atom system has flexible tunability, allowing both the scattering length and the dimensionality to vary. The Lee-Huang-Yang corrections were observed from several experiments on ultracold atoms by increasing the scattering length. In addition, by reducing the dimensionality to one-dimension, several experiments on ultracold atoms have confirmed the Yang-Yang thermodynamics for one-dimensional bosons that Prof. Yang obtained in the 1960s and the large- Nlimit of one-dimensional fermions that Prof. Yang obtained around 2010. By increasing the dimensionality through using the idea of synthetic dimension, the experiment on ultracold atoms has also demonstrated the Yang monopole in the SU(2) non-abelian gauge field proposed by Prof. Yang in the 1970s. All of these experiments show the long-lasting impact of Prof. Yang’s theoretical work over several decades.-
Keywords:
- ultracold atomic physics
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