Next Article in Journal
International System of Units (SI) Traceable Noise-Equivalent Power and Responsivity Characterization of Continuous Wave ErAs:InGaAs Photoconductive Terahertz Detectors
Previous Article in Journal
Recent Trends and Advances of Silicon-Based Integrated Microwave Photonics
Previous Article in Special Issue
Holography Using Curved Metasurfaces
Article Menu

Article Versions

Export Article

Open AccessArticle
Photonics 2019, 6(1), 14; https://doi.org/10.3390/photonics6010014

Grating Lobes in Higher-Order Correlation Functions of Arrays of Quantum Emitters: Directional Photon Bunching Versus Correlated Directions

1
Electrical and Electronic Engineering Department, Universidad Pública de Navarra, Campus Arrosadía, 31006 Pamplona, Spain
2
Institute of Smart Cities, Universidad Pública de Navarra, Campus Arrosadía, 31006 Pamplona, Spain;
3
Global Big Data Technologies Centre,University of Technology Sydney, Ultimo, NSW 2007, Australia
*
Author to whom correspondence should be addressed.
Received: 14 January 2019 / Revised: 6 February 2019 / Accepted: 7 February 2019 / Published: 12 February 2019
PDF [860 KB, uploaded 12 February 2019]

Abstract

Recent advances in nanofabrication and optical manipulation techniques are making it possible to build arrays of quantum emitters with accurate control over the locations of their individual elements. In analogy with classical antenna arrays, this poses new opportunities for tailoring quantum interference effects by designing the geometry of the array. Here, we investigate the N th -order directional correlation function of the photons emitted by an array of N initially-excited identical quantum emitters, addressing the impact of the appearance of grating lobes. Our analysis reveals that the absence of directivity in the first-order correlation function is contrasted by an enhanced directivity in the N th -order one. This suggests that the emitted light consists of a superposition of directionally entangled photon bunches. Moreover, the photon correlation landscape changes radically with the appearance of grating lobes. In fact, the photons no longer tend to be bunched along the same direction; rather, they are distributed in a set of correlated directions with equal probability. These results clarify basic aspects of light emission from ensembles of quantum emitters. Furthermore, they may find applications in the design of nonclassical light sources.
Keywords: arrays, collective emissions, photon statistics, quantum emitters arrays, collective emissions, photon statistics, quantum emitters
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Liberal, I.; Ederra, I.; Ziolkowski, R.W. Grating Lobes in Higher-Order Correlation Functions of Arrays of Quantum Emitters: Directional Photon Bunching Versus Correlated Directions. Photonics 2019, 6, 14.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Photonics EISSN 2304-6732 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top