2020/09/07 by Mathieu Beau, M. Beau, S. M. Pittman +3
Mathematics · Physics and Astronomy · #Attraction #Boson #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Coulomb #Friedel oscillations #Ground state #Monte Carlo method #Nonlinear system #Physics #Quantum #Quantum Monte Carlo #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Range (aeronautics) #Soliton #Strong Light-Matter Interactions #Wave function #Wigner crystal #cond-mat.quant-gas #cond-mat.stat-mech #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1103/physrevlett.125.220602
published as Phys. Rev. Lett. 125, 220602 (2020) · 1 figure, 7 pages
arxiv created 2020/09/07 · openalex publication_date 2020/11/25 · arxiv updated 2020/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We introduce a model of trapped bosons with contact interactions as well as Coulomb repulsion or gravitational attraction in one spatial dimension. We find the exact ground-state energy and many-body wave function. The density profile and the pair-correlation function are sampled using Monte Carlo method and show a rich variety of regimes with crossovers between them. Strong attraction leads to a trapped McGuire quantum soliton. Weak repulsion results in an incompressible Laughlin-like fluid with flat density, well reproduced by a Gross-Pitaevskii equation with long-range interactions. Stronger repulsion induces Friedel oscillations and the eventual formation of a Wigner crystal.