Nishida Yusuke, Tan Shina
Institute for Nuclear Theory, University of Washington, Seattle, WA 98195-1550, USA.
Phys Rev Lett. 2008 Oct 24;101(17):170401. doi: 10.1103/PhysRevLett.101.170401. Epub 2008 Oct 22.
We investigate a two-species Fermi gas in which one species is confined in a two-dimensional plane (2D) or one-dimensional line (1D) while the other is free in the three-dimensional space (3D). We discuss the realization of such a system with the interspecies interaction tuned to resonance. When the mass ratio is in the range 0.0351<m_(2D)/m_(3D)<6.35 for the 2D-3D mixture or 0.006 46<m_(1D)/m_(3D)<2.06 for the 1D-3D mixture, the resulting system is stable against the Efimov effect and has universal properties. We calculate key quantities in the many-body phase diagram. Other possible scale-invariant systems with short-range few-body interactions are also elucidated.
我们研究了一种双组分费米气体,其中一组分被限制在二维平面(2D)或一维直线(1D)中,而另一组分在三维空间(3D)中是自由的。我们讨论了通过将种间相互作用调节到共振来实现这样一个系统。当二维 - 三维混合物的质量比在0.0351 < m_(2D)/m_(3D) < 6.35范围内,或者一维 - 三维混合物的质量比在0.006 46 < m_(1D)/m_(3D) < 2.06范围内时,所得系统对埃菲莫夫效应是稳定的,并且具有普适性质。我们计算了多体相图中的关键量。还阐明了其他具有短程少体相互作用的可能的尺度不变系统。