2017/06/30 by Przemysław Kościk
Mathematics · Physics and Astronomy · #Classical limit #Cold Atom Physics and Bose-Einstein Condensates #Harmonic #Harmonic oscillator #Inverse #Limit (mathematics) #Molecule #Quantum #Spectral Theory in Mathematical Physics #Wigner distribution function #cond-mat.quant-gas #cond-mat.str-el #quant-ph #stochastic dynamics and bifurcation
paper · pdf · doi:10.1140/epjd/e2017-80395-y
6 pages, 2 figures Accepted by EPJ D
openalex created_date 2017/06/23 · arxiv created 2017/10/06 · openalex publication_date 2017/11/01 · arxiv updated 2017/12/06 · openalex updated_date 2026/08/05
We studied one-dimensional systems formed by N identical particles confined in a harmonic trap and subject to an inverse power-law interaction potential ~ |x|−d . The correlation properties of a Wigner molecule with the lowest energy are investigated in terms of their dependence on the number N and the power d, including the limit as d → 0. There are N-particle Wigner molecules with properties such that their correlations are mainly manifested in the N lowest natural orbitals. The values of the control parameters of the system at which such states appear are identified. The properties of Wigner molecules formed in the limit as d approaches infinity are also revealed.