Interaction between two modes of field mediated by two quantum dots in a photonic crystal cavity

TL;DR

This paper explores a novel two-photon resonance mechanism in a photonic crystal cavity involving quantum dots, proposing a method to generate entangled two-qutrit states and analyzing phonon effects on entanglement.

Contribution

It introduces a new two-photon two-mode interaction mechanism in photonic crystal cavities with quantum dots, enabling entanglement of two qutrits and examining phonon coupling effects.

Findings

Unusual cooperative two-photon resonance identified.

Proposed entanglement generation of two qutrits.

Analyzed phonon coupling impact on entanglement negativity.

Abstract

We show unusual cooperative two-photon resonance between two-modes of field inside a photonic crystal cavity. The two-photon resonance occurs when two off resonant quantum dots emit one photon in each cavity mode and de-excite simultaneously. In the presence of phonon coupling the conditions for two-photon resonance change significantly. Using such two-photon two-mode interaction we propose to generate entangled state of two qutrits. The basis of a qutrit are formed by the state of the cavity mode containing $0$, $1$ and $2$ photons. We also discuss effect of phonon coupling on negativity of the generated entangled state.