Generating multiparticle entangled states by self-organization of driven ultracold atoms

TL;DR

This paper proposes a method to generate multiparticle entangled states of ultracold atoms through nonlinear self-organization driven by external fields, with potential applications in quantum technology.

Contribution

It introduces two models for self-organization of ultracold atoms into entangled states using external drives, expanding the understanding of entanglement generation in many-body systems.

Findings

Demonstrated generation of multiparticle entangled states via numerical simulations.

Showed significant momentum entanglement can occur even in bad cavity regimes.

Proposed feasible experimental setups for realizing the models.

Abstract

We describe a mechanism for guiding the dynamical evolution of ultracold atomic motional degrees of freedom toward multiparticle entangled Dicke-squeezed states, via nonlinear self-organization under external driving. Two examples of many-body models are investigated. In the first model, the external drive is a temporally oscillating magnetic field leading to self-organization by interatomic scattering. In the second model, the drive is a pump laser leading to transverse self organization by photon-atom scattering in a ring cavity. We numerically demonstrate the generation of multiparticle entangled states of atomic motion and discuss prospective experimental realizations of the models. For the cavity case, the calculations with adiabatically eliminated photonic sidebands show significant momentum entanglement generation can occur even in the "bad cavity" regime. The results highlight the potential for using self-organization of atomic motion in quantum technological applications.