# Violation of Leggett-Garg type inequalities in a driven two level atom interacting with a squeezed thermal reservoir

## TL;DR

This paper investigates how a driven two-level atom interacting with a squeezed thermal reservoir can violate Leggett-Garg inequalities, revealing quantum coherence effects influenced by thermal, squeezing, and driving parameters.

## Contribution

It demonstrates the conditions under which Leggett-Garg inequalities are violated in a driven two-level atom with a squeezed thermal reservoir, highlighting the effects of thermal noise, squeezing, and measurement strength.

## Key findings

- Violations occur in the underdamped regime with low spontaneous transition rates.
- Increasing thermal effects reduces the extent and duration of violations.
- Higher squeezing parameters decrease the violation of LGtIs.

## Abstract

The violation of Leggett-Garg type inequalities (LGtIs) is studied on a two level atom, driven by an external field in the presence of a squeezed thermal reservoir. The violations are observed in the underdamped regime where the spontaneous transition rate is much smaller compared to the Rabi frequency. Increase in thermal effects is found to decrease the extent of violation as well as the time over which the violation lasts. With increase in the value squeezing parameter the extent of violation of LGtIs is seen to reduce. The violation of LGtIs is favored by increase in the driving frequency. Further, the interplay of the degree of violation and strength of the measurements is studied. It is found that the maximum violation occurs for ideal projective measurements.