Quantum correlations in one-dimensional Wigner molecules

Abstract

We studied one-dimensional systems formed by $N$ identical particles confined in a harmonic trap and subject to an inverse power law interaction potential $\sim |x{|}^{-d}$. 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 $d\to 0$. 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.

6 pages, 2 figures Accepted by EPJ D

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Cited by in corpus (1)

• Fermionic versus bosonic behavior of confined Wigner molecules