Related papers: Pair-correlation ansatz for the ground state of interacting bosons in an arbitrary one-dimensional potential

Pair-correlation ansatz for the ground state of interacting bosons in an arbitrary one-dimensional potential

URL: http://arxiv.org/abs/2104.07953v2
Date: Mon, 14 Jun 2021 16:55:13 GMT
Title: Pair-correlation ansatz for the ground state of interacting bosons in an arbitrary one-dimensional potential
Authors: Przemys{\l}aw Ko\'scik, Arkadiusz Kuro\'s, Adam Pieprzycki, Tomasz Sowi\'nski
Abstract summary: We derive and describe a very accurate variational scheme for the ground state of the system of a few ultra-cold bosons confined in one-dimensional traps of arbitrary shapes. By construction, the proposed ansatz is exact in the noninteracting limit, exactly encodes boundary conditions forced by contact interactions, and gives full control on accuracy in the limit of infinite repulsions.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We derive and describe a very accurate variational scheme for the ground state of the system of a few ultra-cold bosons confined in one-dimensional traps of arbitrary shapes. It is based on assumption that all inter-particle correlations have two-body nature. By construction, the proposed ansatz is exact in the noninteracting limit, exactly encodes boundary conditions forced by contact interactions, and gives full control on accuracy in the limit of infinite repulsions. We show its efficiency in a whole range of intermediate interactions for different external potentials. Our results manifest that for generic non-parabolic potentials mutual correlations forced by interactions cannot be captured by distance-dependent functions.

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