Nonlinear Quantum Optics in Optomechanical Nanoscale Waveguides

TL;DR

This paper investigates how Stimulated Brillouin Scattering in nanoscale waveguides can enable significant nonlinear phase shifts among photons, facilitating deterministic quantum gates with minimized thermal phonon effects.

Contribution

It introduces a configuration for slowing photons via SBS and identifies conditions for low-loss propagation while maintaining strong nonlinear interactions.

Findings

Achieved slowing of photons by several orders of magnitude.

Established conditions for low-loss, high-nonlinearity photon propagation.

Proposed a deterministic phase gate based on nonlinear phase shifts.

Abstract

We explore the possibility of achieving a significant nonlinear phase shift among photons propagating in nanoscale waveguides exploiting interactions among photons that are mediated by vibrational modes and induced through Stimulated Brillouin Scattering (SBS). We introduce a configuration that allows slowing down the photons by several orders of magnitude via SBS involving sound waves and two pump fields. We extract the conditions for maintaining vanishing amplitude gain or loss for slowly propagating photons while keeping the influence of thermal phonons to the minimum. The nonlinear phase among two counter-propagating photons can be used to realize a deterministic phase gate.