# Entanglement versus cooling in the system of a driven pair of two-level qubits longitudinally coupled with a boson mode field

## TL;DR

This paper explores how entanglement between two driven qubits affects the cooling of a boson mode, revealing that optimal cooling coincides with entanglement creation under weak pumping conditions.

## Contribution

It demonstrates a novel link between entanglement generation and quantum cooling efficiency in a driven two-qubit system coupled to a boson mode.

## Key findings

- Efficient cooling below thermal limits achieved with weak external pumping.
- Entanglement correlates with maximum cooling when dipole-dipole shift matches boson frequency.
- Optimal cooling occurs simultaneously with entanglement creation, under specific conditions.

## Abstract

The relationship among the entanglement creation within coherently pumped and closely spaced two-level emitters longitudinally coupled with a single-mode boson field, and the subsequent quantum cooling of the boson mode is investigated. Even though the two-level qubits are resonantly driven, we have demonstrated an efficient cooling mechanism well below limits imposed by the thermal background. Furthermore, the cooling effect is accompanied by entanglement of the qubit pair components when the dipole-dipole frequency shift is close to the frequency of the boson mode. The maximum boson mode cooling efficiency realizes on the expense of the entanglement creation. Importantly, this occurs for rather weak external pumping fields protecting the sample from the deteriorations. Finally, the conditions to effectively optimize these effects are described as well.