# Discontinuities in driven spin-boson systems due to coherent destruction of tunneling: breakdown of the Floquet-Gibbs distribution

## TL;DR

This paper reveals that in driven spin-boson systems, the stationary state distribution exhibits discontinuities at points of coherent destruction of tunneling, affecting observable emission spectra and explained via Floquet-Redfield theory.

## Contribution

It demonstrates the occurrence of distribution discontinuities in dissipative driven two-level systems at coherent destruction points, linking them to observable spectral jumps and providing analytical and numerical analysis.

## Key findings

- Discontinuities in stationary state distributions at tunneling destruction points
- Observable jumps in Mollow triplet emission spectra
- Analytical and numerical confirmation using Floquet-Redfield formalism

## Abstract

We show that the probability distribution of the stationary state of a dissipative ac-driven two-level system exhibits discontinuities, i.e. jumps, for parameters at which coherent destruction of tunneling takes place. These discontinuities can be observed as jumps in the emission of the Mollow triplet. The jumps are the consequence of discontinuities in the transition rates, which we calculate numerically and analytically based on the secular Floquet-Redfield formalism.