# Single-photon pump by Cooper-pair splitting

## TL;DR

This paper proposes a novel scheme using a Cooper-pair splitter with two quantum dots coupled to local resonators, demonstrating efficient cooling and heat transfer control, with potential applications in quantum heat management.

## Contribution

It introduces a new method for cooling and heat transfer control in quantum resonators using Cooper-pair splitting in a hybrid quantum dot setup.

## Key findings

- Cross-Andreev reflection cools both resonators to ground state
- Nonlocal heat transfer occurs under resonance conditions
- The scheme functions as a heat-pump device for quantum resonators

## Abstract

Hybrid quantum dot-oscillator systems have become attractive platforms to inspect quantum coherence effects at the nanoscale. Here, we investigate a Cooper-pair splitter setup consisting of two quantum dots, each linearly coupled to a local resonator. The latter can be realized either by a microwave cavity or a nanomechanical resonator. Focusing on the subgap regime, we demonstrate that cross-Andreev reflection, through which Cooper pairs are split into both dots, can efficiently cool down simultaneously both resonators into their ground state. Moreover, we show that a nonlocal heat transfer between the two resonators is activated when opportune resonance conditions are matched. The proposed scheme can act as a heat-pump device with potential applications in heat control and cooling of mesoscopic quantum resonators.