Structural and dynamic correlations in the ground state of the one-dimensional Fermi one-component plasma are studied using quantum Monte Carlo simulations. Results are presented for the pair correlation function, the static structure factor, the one-particle density matrix, and the momentum distribution for the cases of full, partial, and no polarization. Within the precision of the calculation, the results conform to the fundamental scaling prediction of the Tomonaga-Luttinger liquid theory. Evidence of density correlations slowly decaying with distance is reported, with the concurrent emergence of quasicrystalline order even in the weakly correlated regime. Effects of quantum statistics in the momentum distribution are discussed.

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• 1-dimensional systems
• Uniform electron gas
• Wigner crystal
• Fermi liquid theory
• Path-integral Monte Carlo
• Quantum Monte Carlo