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 momentum whose width is given by the linear density.

arXiv comment4 Pages. Submitted to Physical Review Letters

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• Fermionization and bosonization of expanding 1D anyonic fluids
• Resonant Scattering of Ultracold Atoms in Low Dimensions
• Universal One-dimensional Atomic Gases Near Odd-wave Resonance
• Bosonization, Pairing, and Superconductivity of the Fermionic Tonks-Girardeau Gas
• High-momentum distribution with subleading $k^{-3}$ tail in the odd-wave interacting one-dimensional Fermi gases
• Effects of coherence on quantum speed limits and shortcuts to adiabaticity in many-particle systems
• Exact Solution for 1D Spin-Polarized Fermions with Resonant Interactions
• One-dimensional fermionic gases with attractive p-wave interaction in a hard-wall trap
• Comparative study of one-dimensional Bose and Fermi gases with contact interactions from the viewpoint of universal relations for correlation functions
• Universal duality transformations in interacting one-dimensional quantum systems
• Strongly interacting one-dimensional quantum gas mixtures with weak p-wave interactions
• Momentum distribution and contacts of one-dimensional spinless Fermi gases with an attractive p-wave interaction
• Discretized vs. continuous models of p-wave interacting fermions in 1D
• Many-body stabilization of a resonant p-wave Fermi gas in one dimension
• Effective super Tonks-Girardeau gases as ground states of strongly attractive multi-component fermions
• Emergent s-wave interactions between identical fermions in quasi-one-dimensional geometries
• Universality of internal correlations of strongly interacting p-wave fermions in one-dimensional geometry
• Variational ansatz for $p$-wave fermions confined in a one-dimensional harmonic trap
• Pairing, off-diagonal long-range order, and quantum phase transition in strongly attracting ultracold Bose gas mixtures in tight waveguides
• Optical spin transport theory of spin-1/2 topological Fermi superfluids
• Bright and dark solitary waves in a one-dimensional spin-polarized gas of fermionic atoms with p-wave interactions in a hard-wall trap
• Universal composite boson formation in strongly interacting one-dimensional fermionic systems
• Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons
• Bardeen-Cooper-Schrieffer State Representation and Pairing in the Fermionic Tonks-Girardeau Gas
• Efficient determination of eigenenergies and eigenstates of $N$ ($N=3$--$4$) identical 1D bosons and fermions under external harmonic confinement