2008/06/10 by Michele Casula, D. M. Ceperley, David M. Ceperley +1 · 6 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Diffusion Monte Carlo #Fermi Gamma-ray Space Telescope #Fermion #Momentum (technical analysis) #Monte Carlo method #Monte Carlo molecular modeling #Physics #Physics of Superconductivity and Magnetism #Quantum Monte Carlo #Quantum mechanics #Quantum, superfluid, helium dynamics #Range (aeronautics) #Spin (aerodynamics) #Statistical physics #cond-mat.other #cond-mat.supr-con
paper · pdf · doi:10.1103/physreva.78.033607
11 pages, 10 figures
arxiv created 2008/06/10 · openalex publication_date 2008/09/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Using exact continuous quantum Monte Carlo techniques, we study the zero- and finite-temperature properties of a system of harmonically trapped one-dimensional spin-(1)/(2) fermions with short-range interactions. Motivated by experimental searches for modulated Fulde-Ferrel-Larkin-Ovchinikov states, we systematically examine the impact of a spin imbalance on the density profiles. We quantify the accuracy of the Thomas-Fermi approximation, finding that for sufficiently large particle numbers (N\ensuremath\gtrsim100) it quantitatively reproduces most features of the exact density profile. The Thomas-Fermi approximation fails to capture small Friedel-like spin and density oscillations and overestimates the size of the fully paired region in the outer shell of the trap. Based on our results, we suggest a range of experimentally tunable parameters to maximize the visibility of the double-shell structure of the system and the Fulde-Ferrel-Larkin-Ovchinikov state in the one-dimensional harmonic trap. Furthermore, we analyze the fingerprints of the attractive contact interactions in the features of the momentum and pair momentum distributions.