# Frequency-resolved Monte Carlo

## TL;DR

This paper introduces a frequency-resolved Monte Carlo method adapted for quantum optics, enabling detailed simulation of photon emissions and correlations, including complex phenomena like the Mollow triplet and leapfrog processes.

## Contribution

It extends quantum Monte Carlo simulations to frequency-resolved photon correlations, allowing for accurate modeling of photon emissions with known energies in quantum optical systems.

## Key findings

- Simulation results agree with theoretical frequency-resolved photon correlation predictions.
- Demonstrates leapfrog processes increase two-photon emission rates in the Mollow triplet regime.
- Applicable to photon-counting experiments and quantum optics applications.

## Abstract

We adapt the Quantum Monte Carlo method to the cascaded formalism of quantum optics, allowing us to simulate the emission of photons of known energy. Statistical processing of the photon clicks thus collected agrees with the theory of frequency-resolved photon correlations, extending the range of applications based on correlations of photons of prescribed energy, in particular those of a photon-counting character. We apply the technique to autocorrelations of photon streams from a two-level system under coherent and incoherent pumping, including the Mollow triplet regime where we demonstrate the direct manifestation of leapfrog processes in producing an increased rate of two-photon emission events.