Bender Scott A, Erker Kevin D, Granger Brian E
Department of Physics, Santa Clara University, Santa Clara, California 95053, USA.
Phys Rev Lett. 2005 Dec 2;95(23):230404. doi: 10.1103/PhysRevLett.95.230404. Epub 2005 Nov 29.
We consider the single-particle correlations and momentum distributions in a gas of strongly interacting, spinless 1D fermions with zero-range interactions. This system represents a fermionic version of the Tonks-Girardeau gas of impenetrable bosons as it can be mapped to a system of noninteracting 1D bosons. We use this duality to show that the T = 0, single-particle correlations exhibit an exponential decay with distance. This strongly interacting system is experimentally accessible using ultracold atoms and has a Lorentzian momentum distribution at large momenta whose width is given by the linear density.
我们考虑具有零程相互作用的强相互作用、无自旋一维费米子气体中的单粒子关联和动量分布。这个系统代表了不可穿透玻色子的汤克斯 - 吉拉尔代奥气体的费米子版本，因为它可以映射到一个无相互作用的一维玻色子系统。我们利用这种对偶性表明，在T = 0时，单粒子关联随距离呈指数衰减。这个强相互作用系统可以通过超冷原子在实验中实现，并且在大动量下具有洛伦兹动量分布，其宽度由线密度给出。
