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

Scott A. Bender·Kevin D. Erker·Brian E. Granger
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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 momentum whose width is given by the linear density.

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Scott A. Bender, Kevin D. Erker, Brian E. Granger. 2004-08-27. Exponentially decaying correlations in a gas of strongly interacting spin-polarized 1D fermions with zero-range interactions. https://doi.org/10.1103/physrevlett.95.230404

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