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.

References in corpus (7)

• Quantum supercurrent transistors in carbon nanotubes
• Electrical generation and absorption of phonons in carbon nanotubes
• Vibrational sidebands and dissipative tunneling in molecular transistors
• Tunneling in suspended carbon nanotubes assisted by longitudinal phonons
• Current-induced nonequilibrium vibrations in single-molecule devices
• Squeezing of a nanomechanical resonator by quantum nondemolition measurement and feedback
• Josephson current through a molecular transistor in a dissipative environment

Cited by in corpus (6)

• Vibration-induced correction to the current through a single molecule
• Spectrum of Andreev Bound States in a Molecule Embedded Inside a Microwave-Excited Superconducting Junction
• Sub-Poissonian phononic population in a nanoelectromechanical system
• Transport through a molecular quantum dot in the polaron crossover regime
• Josephson-current induced conformational switching of a molecular quantum dot
• Temperature effect in the conductance of hydrogen molecule