Quantum correlations in one-dimensional Wigner molecules
Institute of Physics, Jan Kochanowski University,
ul. Świȩtokrzyska 15,
a e-mail: email@example.com
Received in final form: 3 August 2017
Published online: 14 November 2017
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.
Key words: Cold Matter and Quantum Gas
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