The Influence of Thermal Fluctuations on Bosonic Correlations and the AC Stark Effect in Two-Level Atoms: A Superstatistical Perspective

TL;DR

This paper investigates how thermal fluctuations modeled by superstatistics affect bosonic correlations and the AC Stark effect in two-level atoms, revealing temperature-dependent modifications in quantum dynamics and energy level interactions.

Contribution

It introduces a superstatistical approach to analyze thermal fluctuations' effects on bosonic correlations and the AC Stark effect in two-level atoms, linking superstatistics with Tsallis thermodynamics.

Findings

Correlation functions show diverse behaviors depending on temperature and fluctuation strength.

Fluctuations modify the coupling constants in the quantum master equation.

The AC Stark effect is significantly altered by thermal fluctuations.

Abstract

We study the influence of thermal fluctuations on the two-time correlation functions of bosonic baths within a superstatistics framework by assuming that fluctuations follow the gamma distribution. We further establish a connection between superstatistics and Tsallis non-additive thermodynamics by introducing a temperature-renormalizing parameter. Our results show that, for an Ohmic model, the system's correlation functions exhibit diverse time-dependent behaviors, with the real and imaginary parts displaying enhancement or suppression depending on temperature and fluctuation strength. Additionally, we analyze the impact of these fluctuations on the quantum master equation of a damped two-level atom coupled to an out-of-equilibrium radiation bath. We demonstrate that while the equation's algebraic structure remains intact, the coupling constants are modified by the fluctuation parameters and cavity volume. Specifically, we observe that the AC Stark effect undergoes significant modifications, with fluctuations influencing the transition between repulsive and attractive energy levels.