Three strongly correlated charged bosons in a one-dimensional harmonic trap: natural orbital occupancies

TL;DR

This paper analyzes the ground-state correlations of three charged bosons in a one-dimensional harmonic trap, focusing on the strong-interaction limit and the degeneracies in the reduced density matrix spectrum.

Contribution

It provides the first detailed explanation of degeneracies in the reduced density matrix spectrum and explicit asymptotic natural orbitals for strongly interacting charged bosons.

Findings

Degeneracies in the reduced density matrix spectrum are characterized.

Explicit asymptotic natural orbitals and occupancies are derived.

Insights into strong-interaction limit behavior of charged bosons in 1D.

Abstract

We study a one-dimensional system composed of three charged bosons confined in an external harmonic potential. More precisely, we investigate the ground-state correlation properties of the system, paying particular attention to the strong-interaction limit. We explain for the first time the nature of the degeneracies appearing in this limit in the spectrum of the reduced density matrix. An explicit representation of the asymptotic natural orbitals and their occupancies is given in terms of some integral equations.