Detecting two-site spin-entanglement in many-body systems with local particle-number fluctuations

TL;DR

This paper presents a method to detect two-site spin-entanglement in many-body systems with local particle-number fluctuations, facilitating spatially resolved entanglement detection in optical lattices and other atomic systems.

Contribution

It introduces experimentally measurable lower bounds for two-site entanglement, enabling detection despite particle-number fluctuations, and demonstrates potential applications in various atomic platforms.

Findings

Numerical simulations of entanglement spreading during spin impurity dynamics.

The scheme simplifies entanglement detection in ion chains and Rydberg atom systems.

Proposes a method compatible with high-resolution imaging in optical lattices.

Abstract

We derive experimentally measurable lower bounds for the two-site entanglement of the spin-degrees of freedom of many-body systems with local particle-number fluctuations. Our method aims at enabling the spatially resolved detection of spin-entanglement in Hubbard systems using high-resolution imaging in optical lattices. A possible application is the observation of entanglement generation and spreading during spin impurity dynamics, for which we provide numerical simulations. More generally, the scheme can simplify the entanglement detection in ion chains, Rydberg atoms, or similar atomic systems.