Gravity induced entanglement of multiple massive particles with large spin

TL;DR

This paper explores how gravitational interactions can generate quantum entanglement among multiple massive particles with large spins, analyzing the effects of particle number, spin size, and configuration on entanglement rates.

Contribution

It introduces a method to compute entanglement generation rates in multi-particle systems with large spins under gravitational influence, optimizing configurations for maximum entanglement.

Findings

Entanglement increases with the number of particles and their spin size.

Optimal spin orientations depend on the system configuration.

Center-prism configuration yields the highest entanglement rate.

Abstract

We investigate the generation rate of the quantum entanglement in a system composed of multiple massive particles with large spin, where the mass of a single particle can be split into multiple trajectories by a generalized Stern-Gerlach interferometer. Taking the coherent spin states (CSS) as the initial state and considering the gravitational interaction due to Newtonian potential, we compute the generation rate of the entanglement for different configurations of the setup. Explicitly, the optimal polar angles of the spin are found numerically for systems with three and four particles, respectively. We conclude that the amount of the entanglement increases with the number of particles as well as the spin, and the configuration of the prism with a particle at the center generates the best rate of the entanglement.