论文标题
1d中稀岩气的基态能量
Ground state energy of dilute Bose gases in 1D
论文作者
论文摘要
我们研究了具有密度$ρ$的1D玻色子气体的基态能量，并通过稀释极限$ρ| a | \ ll1 $在散射长度$ a $中的一般反击2体电位相互作用。热力学能量密度扩展的第一项为$π^2ρ^3/3（1+2ρa）$，其中领先顺序是1D自由费米气体。该结果涵盖了Lieb-Liniger模型的Tonks-Girardeau限制，但考虑到$ a> 0 $的可能性，它也适用于与Delta功能显着差异的电势。我们包括对无旋转费米子和1D任何人对称性的扩展，并讨论了限制3D气体的应用。
We study the ground state energy of a gas of 1D bosons with density $ρ$, interacting through a general, repulsive 2-body potential with scattering length $a$, in the dilute limit $ρ|a|\ll1$. The first terms in the expansion of the thermodynamic energy density are $π^2ρ^3/3(1+2ρa)$, where the leading order is the 1D free Fermi gas. This result covers the Tonks-Girardeau limit of the Lieb-Liniger model as a special case, but given the possibility that $a>0$, it also applies to potentials that differ significantly from a delta function. We include extensions to spinless fermions and 1D anyonic symmetries, and discuss an application to confined 3D gases.
