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Updated: Nov 1, 2025

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
Published on: September 5, 2019
Pair-correlation ansatz for the ground state of interacting bosons in an arbitrary one-dimensional potential
Przemysław Kościk1, Arkadiusz Kuroś2,3, Adam Pieprzycki1
1Department of Computer Sciences, University of Applied Sciences, ul. Mickiewicza 8, 33100, Tarnów, Poland.
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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