Photon-photon gates in Bose-Einstein condensates

TL;DR

This paper proposes a method to implement a controlled phase gate between two photons stored in a Bose-Einstein condensate, utilizing enhanced interactions via trap manipulation and Feshbach resonance, achieving a π phase shift in one second.

Contribution

It introduces a novel approach for photon-photon gates in BECs by combining trap frequency tuning and Feshbach resonance to induce strong interactions.

Findings

Controlled phase shift of π achieved in one second.

Enhanced photon-photon interaction via trap frequency increase.

Utilization of Feshbach resonance to strengthen interactions.

Abstract

It has recently been shown that light can be stored in Bose-Einstein condensates for over a second. Here we propose a method for realizing a controlled phase gate between two stored photons. The photons are both stored in the ground state of the effective trapping potential inside the condensate. The collision-induced interaction is enhanced by adiabatically increasing the trapping frequency and by using a Feshbach resonance. A controlled phase shift of $\pi$ can be achieved in one second.