Vorov O K, Hussein M S, Van Isacker P
Grand Accélérateur National d'Ions Lourds, BP 55027, F-14076, Caen Cedex 5, France.
Phys Rev Lett. 2003 May 23;90(20):200402. doi: 10.1103/PhysRevLett.90.200402. Epub 2003 May 21.
In a k-dimensional system of weakly interacting Bose atoms trapped by a spherically symmetric and harmonic external potential, an exact expression is obtained for the rotating ground states at a fixed angular momentum. The result is valid for arbitrary interactions obeying minimal physical requirements. Depending on the sign of a modified scattering length, it reduces to either a collective rotation or a condensed vortex state, with no alternative. The ground state can undergo a kind of quantum phase transition when the shape of the interaction potential is smoothly varied.
在一个由球对称调和外势捕获的弱相互作用玻色原子的k维系统中，得到了固定角动量下旋转基态的精确表达式。该结果对于满足最小物理要求的任意相互作用均有效。根据修正散射长度的符号，它要么简化为集体旋转，要么简化为凝聚涡旋态，别无其他可能。当相互作用势的形状平滑变化时，基态会经历一种量子相变。
