https://doi.org/10.1140/epjd/e2017-80395-y
Regular Article
Quantum correlations in one-dimensional Wigner molecules
Institute of Physics, Jan Kochanowski University,
ul. Świȩtokrzyska 15,
25-406
Kielce, Poland
a e-mail: koscik@pu.kielce.pl
Received:
12
June
2017
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
© The Author(s) 2017. This article is published with open access at Springerlink.com
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
