Phonon Josephson junction with nanomechanical resonators Journal Article

Author(s): Barzanjeh, Shabir; Vitali, David
Article Title: Phonon Josephson junction with nanomechanical resonators
Affiliation IST Austria
Abstract: We study coherent phonon oscillations and tunneling between two coupled nonlinear nanomechanical resonators. We show that the coupling between two nanomechanical resonators creates an effective phonon Josephson junction, which exhibits two different dynamical behaviors: Josephson oscillation (phonon-Rabi oscillation) and macroscopic self-trapping (phonon blockade). Self-trapping originates from mechanical nonlinearities, meaning that when the nonlinearity exceeds its critical value, the energy exchange between the two resonators is suppressed, and phonon Josephson oscillations between them are completely blocked. An effective classical Hamiltonian for the phonon Josephson junction is derived and its mean-field dynamics is studied in phase space. Finally, we study the phonon-phonon coherence quantified by the mean fringe visibility, and show that the interaction between the two resonators may lead to the loss of coherence in the phononic junction.
Keywords: Quantum optics; Phase space methods; Resonators; Rabi oscillations; Engineering controlled terms: Hamiltonians; Josephson junction devices; Superconducting films; Visibility; Dynamical behaviors; Fringe visibilities; Josephson oscillations; Josephson-junction; Mean field dynamics; Mechanical nonlinearities; Nanomechanical resonators; Phonons
Journal Title: Physical Review A - Atomic, Molecular, and Optical Physics
Volume: 93
Issue 3
ISSN: 1094-1622
Publisher: American Physical Society  
Date Published: 2016-03-28
Start Page: 033846
DOI: 10.1103/PhysRevA.93.033846
Notes: The authors would like to thank E. Weig, J. Fink, P. Rabl, D. P. DiVincenzo, M. Goldsche, T. Khodkov, G. Verbiest, and C. Stampfer, for valuable discussions. The work of S.B. has been supported by the European Commission (Belgium) via the SCALEQIT program and by the Alexander von Humboldt Foundation. The work of D.V. has been supported by the European Commission (Belgium) via the ITN-Marie Curie project cQOM and the FET-Open Project iQUOEMS.
Open access: yes (repository)