Bipartite correlations in quantum resonance states

TL;DR

This paper introduces a diagonal representation of reduced density matrices and a measure for bipartite correlations in quantum resonance states, demonstrated on a two-boson system with contact interaction.

Contribution

It presents a novel approach to analyze bipartite correlations in quantum resonance states using a diagonal density matrix representation and applies it to a specific bosonic system.

Findings

Correlation properties vary with interaction strength

Method effectively captures resonance state correlations

Applicable to systems including the Tonks-Girardeau regime

Abstract

We discuss a diagonal representation of a reduced density matrix determined within the framework of the complex scaling method. We also discuss a possible measure of bipartite correlations in quantum resonance states. As an example, we consider a one-dimensional system of two bosons with a contact interaction subjected to an open potential well. The correlation properties of the lowest-energy resonance state of the system are explored over a wide range of the inter-boson interaction strength, including the Tonks-Girardeau regime.