Phonon Squeezing in a Superconducting Molecular Transistor

Abstract

Josephson transport through a single molecule or carbon nanotube is considered in the presence of a local vibrational mode coupled to the electronic charge. The ground-state solution is obtained exactly in the limit of a large superconducting gap, and is extended to the general case by variational analysis. Coherent charge fluctuations are entangled with non-classical phonon states. The Josephson current induces squeezing of the phonon mode, which is controlled by the superconducting phase difference and by the junction asymmetry. Optical probes of non-classical phonon states are briefly discussed.

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Cited by in corpus (18)

• Self-consistent description of Andreev bound states in Josephson quantum dot devices
• Vibration-induced correction to the current through a single molecule
• Variational study of a two-level system coupled to a harmonic oscillator in a ultrastrong coupling regime
• Spectrum of Andreev Bound States in a Molecule Embedded Inside a Microwave-Excited Superconducting Junction
• Sub-Poissonian phononic population in a nanoelectromechanical system
• Non-equilibrium supercurrent through a quantum dot: current harmonics and proximity effect due to a normal metal lead
• Transport through a molecular quantum dot in the polaron crossover regime
• Josephson-current induced conformational switching of a molecular quantum dot
• Bistability and Displacement Fluctuations in a Quantum Nano-mechanical Oscillator
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• Adiabatic polaron dynamics and Josephson effect in a superconducting molecular quantum dot
• Nanomechanical effects in an Andreev quantum dot
• Andreev quantum dot with several conducting channels
• Critical Josephson current through a bistable single-molecule junction
• Nano-mechanics driven by Andreev tunneling
• Temperature effect in the conductance of hydrogen molecule
• Polaronic effects induced by non-equilibrium vibrons in a single-molecule transistor
• Pumping and cooling of nanomechanical vibrations generated by Cooper pair exchange