Eigenvalue decomposition method for photon statistics of frequency filtered fields and its applications to quantum dot emitters

TL;DR

This paper introduces an eigenvalue decomposition method to analyze photon statistics of frequency-filtered quantum fields, enabling the study of various filter effects on quantum dot single-photon emitters under different excitation conditions.

Contribution

The paper presents a novel eigenvalue-based calculation approach for photon statistics, allowing analysis of spectral filter effects not possible with traditional methods.

Findings

Efficient filter choices for pure single-photon emission depend on excitation conditions.

The method can handle different filter types like Gaussian, rectangular, and Lorentzian.

Application to quantum dot emitters demonstrates practical utility.

Abstract

A simple calculation method for photon statistics of frequency-filtered fields is proposed. This method, based on eigenvalue decompositions of superoperators, allows us to study effects on the photon statistics of spectral filtering by various types of filters, such as Gaussian and rectangular filters as well as Lorentzian filters, which is not possible by conventional approaches. As an example, this method is applied to a simulation of quantum dot single-photon emitters, where we found the efficient choice of the filter types to have pure single photons depends on the excitation conditions i.e. incoherent or coherent (and resonant) excitations.