Counting statistics of photon emissions detected in non-Markovian environment

TL;DR

This paper analyzes the counting statistics of photon emissions in a non-Markovian environment, revealing how detector response time influences emission statistics and can induce dynamical phase transitions.

Contribution

It introduces a large-deviation analysis for photon counting in non-Markovian settings, highlighting the impact of detector response time on emission statistics and phase transitions.

Findings

Statistics depend on detector response time

Dynamical phase transitions can occur due to non-Markovian effects

Detection-free assumption is invalid in this context

Abstract

In this work we present a large-deviation analysis for the counting statistics of atomic spontaneous emissions continuously detected in finite-bandwidth non-Markovian environment. We show that the statistics of the spontaneous emissions depends on the response time of the detector, which can result in big differences such as dynamical phase transition. This feature excludes the idea of regarding the spontaneous emissions as detection-free objective events. Possible experiment is briefly discussed in connection with the state-of-the-art optical cavity set-up.