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.
Highlights
Nonlocality [1,2] and quantum correlations [3] are at the heart of many quantum technologies [4,5,6]
Using a master equation approach, we show that the interaction between the Cooper-pair splitters (CPSs)
The shape of these resonances differs from the first-order peaks: We show in the Appendix how the second-order
Summary
Nonlocality [1,2] and quantum correlations [3] are at the heart of many quantum technologies [4,5,6]. A mechanism which induces nonlocal photon or phonon correlations through Cooper-pair transport, implemented in a hybrid setup, bridges the gap between the study of heat flows in quantum-dot-based [34,35,36,66,67] and circuit-QED devices [68,69,70]. We consider a CPS in a double-quantum-dot setup with each dot linearly coupled to a local resonator, constituted by either a microwave cavity [49,51,54,71,72,73,74] or a mechanical oscillator [43,75,76,77,78]; see Fig. 1(a) We demonstrate that this system is a platform to obtain full control on the heat and photon exchange of two originally uncoupled cavities.
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