Quantum entanglement of two harmonically trapped dipolar particles

TL;DR

This paper investigates the quantum entanglement properties of two dipolar particles in harmonic traps, providing numerical and analytical insights into how entanglement varies with interaction strength and comparing different particle types.

Contribution

It offers the first detailed analysis of entanglement in two dipolar particles confined in quasi-1D traps, including closed-form expressions in strong interaction regimes.

Findings

Entanglement depends on interaction strength and particle statistics.

Analytical formulas for ground state occupancies and entropies in strong interactions.

Comparison of entanglement between dipolar bosons and charged particles.

Abstract

We study systems of two identical dipolar particles confined in quasi one-dimensional harmonic traps. Numerical results for the dependencies of the entanglement on the control parameters of the systems are provided and discussed in detail. In the limit of a strong interaction between the particles, the occupancies and the von Neumann entropies of the bosonic and fermionic ground states are derived in closed analytic forms by applying the harmonic approximation. The strong correlation regimes of the system with the dipolar bosons and the system with the charged ones are compared with each other in regard to aspects of their entanglement.