2016/08/27 by M. Motta, Mário Motta, Ettore Vitali +5 · 29 citations
Mathematics · Physics and Astronomy · #Ansatz #Bethe ansatz #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Electron #Fermi gas #Luttinger liquid #Mathematical physics #Mathematics #Monte Carlo method #Omega #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Monte Carlo #Quantum mechanics #Quantum, superfluid, helium dynamics #RADIUS #Structure factor #cond-mat.other
paper · pdf · doi:10.1103/physreva.94.043627
published in Physical Review A 94(4) (American Physical Society) · 13 pages, 9 figures
arxiv created 2016/08/27 · openalex publication_date 2016/10/13 · arxiv updated 2016/10/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
The zero-temperature dynamical structure factor S(q,\ensuremathω) of one-dimensional hard rods is computed using state-of-the-art quantum Monte Carlo and analytic continuation techniques, complemented by a Bethe ansatz analysis. As the density increases, S(q,\ensuremathω) reveals a crossover from the Tonks-Girardeau gas to a quasisolid regime, along which the low-energy properties are found in agreement with the nonlinear Luttinger liquid theory. Our quantitative estimate of S(q,\ensuremathω) extends beyond the low-energy limit and confirms a theoretical prediction regarding the behavior of S(q,\ensuremathω) at specific wave vectors Qn=n2\ensuremathπ/a, where a is the core radius, resulting from the interplay of the particle-hole boundaries of suitably rescaled ideal Fermi gases. We observe significant similarities between hard rods and one-dimensional 4He at high density, suggesting that the hard-rods model may provide an accurate description of dense one-dimensional liquids of quantum particles interacting through a strongly repulsive, finite-range potential.