2016/05/26 by A. J. Vidal, A J Vidal, G. E. Astrakharchik +3 · 6 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Atomic physics #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Deuterium #Electron #Fermi gas #Fermion #Ground state #Isotope #Luttinger liquid #Monte Carlo method #Nuclear physics #Physics #Quantum Monte Carlo #Quantum mechanics #Quantum, superfluid, helium dynamics #Wigner crystal #cond-mat.quant-gas
paper · pdf · doi:10.1088/1367-2630/18/5/055013
published in New Journal of Physics 18(5), 055013 (IOP Publishing) · 19 pages, 7 figures, contribution to special issue in NJP in memory of Marvin Girardeau
openalex publication_date 2016/05/26 · arxiv created 2016/05/27 · arxiv updated 2016/05/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
The ground-state properties of one-dimensional electron-spin-polarized hydrogen 1 H, deuterium 2 H, and tritium 3 H are obtained by means of quantum Monte Carlo methods. The equations of state of the three isotopes are calculated for a wide range of linear densities. The pair correlation function and the static structure factor are obtained and interpreted within the framework of the Luttinger liquid theory. We report the density dependence of the Luttinger parameter and use it to identify different physical regimes: Bogoliubov Bose gas, super-Tonks–Girardeau gas, and quasi-crystal regimes for bosons; repulsive, attractive Fermi gas, and quasi-crystal regimes for fermions. We find that the tritium isotope is the one with the richest behavior. Our results show unambiguously the relevant role of the isotope mass in the properties of this quantum system.