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Quantum Effects in Nanomechanical Systems

Stefan Walter, Basel University

12.08.2014 at 15:00 

In the first part I discuss the fate of the phenomenon of synchronization in quantum systems. Synchronization in the simplest quantum-mechanical scenario possible, i.e., a quantum-mechanical self-sustained oscillator coupled to an external harmonic drive is investigated. Using the power spectrum we analyze synchronization in terms of frequency entrainment and frequency locking in close analogy to the classical case. Optomechanical systems are perfect candidate systems for realizing our proposal.

In the second part I introduce a hybrid topological-nanoelectromechanical quantum system. Specifically, we consider a one-dimensional topological superconductor which features a single fermionic zero mode that is delocalized over two Majorana bound states located at the ends of the one-dimensional topological superconductor and a pair of spatially separated nanomechanical oscillators tunnel-coupled to these Majorana modes. The combination of electron-phonon coupling and a finite charging energy on the mesoscopic topological superconductor can lead to an effective superexchange  between the oscillators via the non-local fermionic zero mode. Moreover, we show that this teleportation mechanism leads to entanglement of the two oscillators over distances that can significantly exceed the coherence length of the superconductor.

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