Two-level system with noise: Blue's function approach

TL;DR

This paper analytically solves a two-level quantum system coupled to noise using random matrix theory and Blue's function, demonstrating agreement with simulations and potential applications in condensed phase reactions.

Contribution

It introduces an analytical solution for a noisy two-level system using a novel combination of random matrix theory and Blue's function, advancing understanding of spectral properties.

Findings

Spectral properties match numerical simulations

Analytical approach using Blue's function is effective

Potential applications in condensed phase reactions

Abstract

By using the random matrix approach and generalized Blue's function representation we solve analytically the model of an effective two-level system coupled to a noise reservoir. We show that calculated spectral properties of the system are in agreement with the numerically simulated results. We outline possible applications of the model in the field of condensed phase reactions.