title: Exponentially decaying correlations in a gas of strongly interacting spin-polarized 1D fermions with zero-range interactions.
abstract: 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.
authors.affiliation: Department of Physics, Santa Clara University, Santa Clara, California 95053, USA.
authors.forename: Scott A
authors.initials: SA
authors.lastname: Bender
authors.forename: Kevin D
authors.initials: KD
authors.lastname: Erker
authors.forename: Brian E
authors.initials: BE
authors.lastname: Granger