# Enhancing violations of Leggett-Garg inequalities in nonequilibrium correlated many-body systems by interactions and decoherence

## TL;DR

This paper explores how interactions and decoherence can be used to enhance violations of Leggett-Garg inequalities in nonequilibrium many-body quantum systems, revealing new ways to observe quantum effects in complex environments.

## Contribution

It demonstrates that particle interactions and bulk dephasing can be strategically used to amplify quantum violations in open many-body systems, supported by analytical and numerical analysis.

## Key findings

- Interactions control the violation amplitude and direction.
- Bulk dephasing enhances violation in certain regimes.
- The effect is general across various systems.

## Abstract

We identify different schemes to enhance the violation of Leggett-Garg inequalities in open many-body systems. Considering a nonequilibrium archetypical setup of quantum transport, we show that particle interactions control the direction and amplitude of maximal violation and that in the strongly-interacting and strongly-driven regime bulk dephasing enhances the violation. Through an analytical study of a minimal model, we unravel the basic ingredients to explain this decoherence-enhanced quantumness, illustrating that such an effect emerges in a wide variety of systems.