Entanglement of nanoelectromechanical oscillators by Cooper-pair tunneling

Abstract

We demonstrate that entanglement of two macroscopic nanoelectromechanical resonators -- coupled to each other via a common detector, a tunnel junction -- can be generated by running a current through the device. We introduce a setup that overcomes generic limitations of proposals suggesting to entangle systems via a shared bath. At the heart of the proposal is an Andreev entangler setup, representing an experimentally feasible way of entangling two nanomechanical oscillators. Instead of relying on the coherence of a (fermionic) bath, in the Andreev entangler setup, a split Cooper-pair that coherently tunnels to each oscillator mediates their coupling and thereby induces entanglement between them. Since entanglement is in each instance generated by Markovian and non-Markovian noisy open system dynamics in an out-of-equilibrium situation, we argue that the present scheme also opens up perspectives to observe dissipation-driven entanglement in a condensed-matter system.

11 pages, 3 figures

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• Superconducting nano-mechanical diamond resonators
• Improving autonomous thermal entanglement generation using a common reservoir
• Detecting nonlocal Cooper pair entanglement by optical Bell inequality violation
• Quantum memory enhanced dissipative entanglement creation in non-equilibrium steady states
• Non local quantum state engineering with the Cooper pair splitter beyond the Coulomb blockade regime
• Engineering entanglement between resonators by hot environment
• Teleportation-induced entanglement of two nanomechanical oscillators coupled to a topological superconductor
• Entanglement of Two Jaynes-Cummings Atoms In Single Excitation Space
• Dynamics of Quantum Coherence and Non-Classical Correlations in Open Quantum System Coupled to a Squeezed Thermal Bath