Strongly interacting fermions in 1D

Yang Li, Liming Guan, Han Pu

Ariel Sommer, Lawrence W. Cheuk, Mark Ku +3 more

Dominik Muth, Bernd G Schmidt, Michael Fleischhauer

Ya-Ting Chang, Ruwan Senaratne, Danyel Cavazos-Cavazos +1 more

Brian Granger, D. Blume

We develop a multichannel scattering theory for atom-atom collisions in quasi-1D geometries. We apply our general framework to the low energy scattering of two spin-polarized fermions and show that tightly confined fermions have infinitely strong interactions at a particular value of the 3D, free-space p-wave scattering volume. Moreover, we describe a mapping of this strongly interacting system of two quasi-1D fermions to a weakly interacting system of two 1D bosons.

Scott A. Bender, Kevin D. Erker, Brian Granger

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.