Entanglement generation between two spinor Bose-Einstein condensates with cavity QED

TL;DR

This paper proposes and analyzes a scheme to generate entanglement between two spinor Bose-Einstein condensates using cavity QED, demonstrating its effectiveness through numerical simulations and scaling analysis under realistic conditions.

Contribution

The paper introduces a novel method for entangling two spinor BECs via off-resonant cavity coupling and provides numerical and scaling analysis of its performance.

Findings

Numerical simulations show successful entanglement generation in small systems.

The scheme can scale to larger systems under realistic experimental conditions.

Entanglement of the order of maximal entanglement can be achieved.

Abstract

We analyze a scheme for generating entanglement between two spinor Bose-Einstein condensates (BECs). The BECs are off-resonantly coupled to a common photon mode and are controlled by external lasers to induce a $ S^z S^z $ interaction, where $ S^z $ is the total spin of the BEC. We directly simulate the scheme numerically for small systems and show the performance of the scheme. The scaling of the entanglement to large scale systems under realistic conditions of spontaneous emission and cavity photon loss is analyzed. It is shown that both entanglement in the beyond-continuous variables regime can be generated, where the entanglement is of the order of the maximal entanglement between the systems.