Quantum Zeno subspace and entangled Bose-Einstein condensates

TL;DR

This paper proposes a method to generate maximally entangled atomic N-GHZ states in spinor-1 condensates using quantum Zeno subspace dynamics and Raman transitions, facilitating deterministic entanglement creation.

Contribution

It introduces a novel approach combining quantum Zeno effect and atomic collisions for efficient entanglement in spinor condensates, applicable to existing experimental setups.

Findings

Demonstrates a feasible scheme for entanglement generation in spinor-1 condensates.

Identifies the role of elastic collisions in deterministic entanglement.

Provides a practical implementation pathway for laboratories working with $^{87}$Rb atoms.

Abstract

We discuss a proposal for the efficient generation of the maximally entangled atomic N-GHZ state in a spinor-1 condensate by driving internal state atomic Raman transitions using (classical) laser fields. We illustrate the dynamics in terms of a quantum Zeno subspace, and identify the resultant atomic elastic collision in facilitating the deterministic entanglement creation. Our proposal can be readily implemented in several laboratories where ferromagnetic spinor condensates (of $^{87}$Rb atoms) are investigated.