Two-body correlations and natural orbital tomography in ultracold bosonic systems of definite parity

TL;DR

This paper investigates the relationship between natural orbitals, one-body coherences, and two-body correlations in ultracold bosonic systems with definite parity, providing methods for experimental reconstruction and insights into quantum fluctuations affecting dark solitons.

Contribution

It introduces a novel analysis of two-body correlations and natural orbital tomography in parity-symmetric bosonic systems, including a practical recipe for experimental reconstruction.

Findings

Local two-body correlations at the parity center characterize number state distribution

The structure of non-local correlations is controlled by local correlation strength

Quantum-fluctuation-induced decay of dark solitons is explained

Abstract

The relationship between natural orbitals, one-body coherences and two-body correlations is explored for bosonic many-body systems of definite parity with two occupied single-particle states. We show that the strength of local two-body correlations at the parity-symmetry center characterizes the number state distribution and controls the structure of non-local two-body correlations. A recipe for the experimental reconstruction of the natural orbital densities and quantum depletion is derived. These insights into the structure of the many-body wave-function are applied to the predicted quantum-fluctuations induced decay of dark solitons.