Exponentially decaying correlations in a gas of strongly interacting spin-polarized 1D fermions with zero-range interactions

Details Exponentially decaying correlations in a gas of strongly interacting spin-polarized 1D fermions with zero-range interactions Exponentially decaying correlations in a gas of strongly interacting spin-polarized 1D fermions with zero-range interactions

2004-08-27

arxiv.org/abs/cond-mat/0408623v1

Physics

Condensed Matter

Other Condensed Matter

4 Pages. Submitted to Physical Review Letters

Scientific paper

10.1103/PhysRevLett.95.230404

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 momentum whose width is given by the linear density.

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