Phonon Josephson Junction with Nanomechanical Resonators

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.

Realization of Josephson junction at nano/optomechanical resonators. Comments are welcome!

References in corpus (21)

• Sideband Cooling Micromechanical Motion to the Quantum Ground State
• Optomechanical entanglement between a movable mirror and a cavity field
• Squeezing and entanglement in a Bose-Einstein condensate
• Quantum Illumination at the Microwave Wavelengths
• Microwave Quantum Illumination
• Nanomechanical Resonators and Their Applications in Biological/Chemical Detection: Nanomechanics Principles
• State Transfer Between a Mechanical Oscillator and Microwave Fields in the Quantum Regime
• Coherent Signal Amplification in Bistable Nanomechanical Oscillators by Stochastic Resonance
• Phonon counting and intensity interferometry of a nanomechanical resonator
• Spontaneous mirror-symmetry breaking in a photonic molecule
• Dynamics of a tunable superfluid junction
• Nanomechanical squeezing with detection via a microwave cavity
• High-contrast dispersive readout of a superconducting flux qubit using a nonlinear resonator
• Classical to Quantum Transition of a Driven Nonlinear Nanomechanical Resonator
• Stress-Induced Variations in the Stiffness of Micro- and Nanocantilever Beams
• Beyond mean-field dynamics of small Bose-Hubbard systems based on the number-conserving phase space approach
• Number squeezing, quantum fluctuations and oscillations in mesoscopic Bose Josephson junctions
• The stochastic dynamics of micron and nanoscale elastic cantilevers in fluid: fluctuations from dissipation
• A Passive Phase Noise Cancellation Element
• Nonlinear phononics using atomically thin membranes
• Tunneling dynamics of bosonic Josephson junctions assisted by a cavity field

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