Coherent Scattering-mediated correlations between levitated nanospheres

TL;DR

This paper investigates how entanglement can be generated and maintained among multiple levitated nanospheres in an optical cavity, revealing non-Markovian dynamics and room-temperature entanglement survival.

Contribution

It derives a comprehensive Hamiltonian for multi-particle coherent scattering interactions and introduces a numerical toolbox for simulating Gaussian optomechanical states.

Findings

Entanglement exhibits birth, death, and revival dynamics.

Entanglement persists at room temperature under realistic conditions.

The system's entanglement depends on nanoparticle number, temperature, and coupling strength.

Abstract

We explore entanglement generation between multiple optically levitated nanospheres interacting with a common optical cavity via the Coherent Scattering optomechanical interaction. We derive the many-particle Hamiltonian governing the unitary evolution of the system and show that it gives rise to quantum correlations among the various partitions of the setup, following a non-Markovian dynamics of entanglement birth, death and revivals. We also consider the effects of coupling the system to external environments and show that under reasonable experimental conditions entanglement between the mechanical modes can survive even at room temperature. Its dependence upon the number of nanoparticles, their initial temperature and coupling strength is studied. A numerical toolbox to simulate the closed and open dynamics of Gaussian optomechanical states and their informational measures is developed.