Mechanical Cooper pair transportation as a source of long distance superconducting phase coherence

Abstract

Transportation of Cooper-pairs by a movable single Cooper-pair-box placed between two remote superconductors is shown to establish coherent coupling between them. This coupling is due to entanglement of the movable box with the leads and is manifested in the supression of quantum fluctuations of the relative phase of the order parameters of the leads. It can be probed by attaching a high resistance Josephson junction between the leads and measuring the current through this junction. The current is suppressed with increasing temperature.

4 pages, 4 figures, RevTeX; Updated version, typos corrected

References in corpus (4)

• Influence of nano-mechanical properties on single electron tunneling: A vibrating Single-Electron Transistor
• A nanomechanical resonator shuttling single electrons at radio frequencies
• Coherent transfer of Cooper pairs by a movable grain
• Dynamics of a three terminal mechanically flexible tunneling contact

Cited by in corpus (11)

• Full Counting Statistics of a charge shuttle
• Nanoampere pumping of Cooper pairs
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• Ehrenfest time in the weak dynamical localization
• Decoherence in a Cooper pair shuttle
• Impact of van der Waals forces on the classical shuttle instability
• Entanglement between charge qubit states and coherent states of nanomechanical resonator generated by AC Josephson effect
• Temperature independent current deficit due to induced quantum nanowire vibrations
• Nano-mechanics driven by Andreev tunneling
• Zero-phase-difference Josephson current based on spontaneous symmetry-breaking via parametric excitation of a movable superconducting dot
• Transport properties of a periodically driven superconducting single electron transistor