Absence of Long-Range Coherence in the Parametric Emission from Photonic Wires

TL;DR

This paper analytically demonstrates that quantum fluctuations prevent long-range phase coherence in one-dimensional optical parametric oscillators, leading to exponential decay of coherence even above threshold, with implications for semiconductor photonic wires.

Contribution

It provides a theoretical analysis of spatial coherence in 1D optical parametric oscillators, highlighting the absence of long-range order due to quantum fluctuations.

Findings

Quantum fluctuations destroy long-range coherence in 1D systems.

Coherence decay is exponential with distance.

Predicted coherence decay length is experimentally accessible.

Abstract

We analytically investigate the spatial coherence properties of the signal emission from one-dimensional optical parametric oscillators. Because of the reduced dimensionality, quantum fluctuations are able to destroy the long-range phase coherence even far above threshold. The spatial decay of coherence is exponential and, for realistic parameters of semiconductor photonic wires in the strong exciton-photon coupling regime, it is predicted to occur on an experimentally accessible length scale.