Journal
EPL
Volume 123, Issue 3, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1209/0295-5075/123/36001
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Funding
- (Polish) National Science Center [2016/22/E/ST2/00555]
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Standard analytical construction of the many-body wave function of interacting particles in one dimension, beyond mean-field theory, is based on the Jastrow approach. The many-body interacting ground state is build up from the ground state of the non-interacting system and the product of solutions of the corresponding interacting two-body problem. However, this is possible only if the center-of-mass motion is decoupled from the mutual interactions. In our work, based on the general constraints given by contact nature of the atom-atom interactions, we present an alternative approach to the standard construction of the pair-correlation wave function. Within the proposed ansatz, we study the many-body properties of trapped bosons as well as fermionic mixtures and we compare these predictions with the exact diagonalization approach in a wide range of particle numbers, interaction strengths, and different trapping potentials. Copyright (C) EPLA, 2018
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