Quantum Shuttle in Phase Space

Abstract

We present a quantum theory of the shuttle instability in electronic transport through a nanostructure with a mechanical degree of freedom. A phase space formulation in terms of the Wigner function allows us to identify a cross-over from the tunnelling to the shuttling regime, thus extending the previously found classical results to the quantum domain. Further, a new dynamical regime is discovered, where the shuttling is driven exclusively by the quantum noise.

4 pages, 2 figures; minor changes; final version published in Phys. Rev. Lett

References in corpus (11)

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• Influence of nano-mechanical properties on single electron tunneling: A vibrating Single-Electron Transistor
• Incoherent dynamics of vibrating single-molecule transistors
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• Shuttle Instability in Self-Assembled Coulomb Blockade Nanostructures
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• Full Counting Statistics of a charge shuttle
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• Green function techniques in the treatment of quantum transport at the molecular scale
• Dynamical symmetry breaking in transport through molecules
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• Electromechanical instability in suspended carbon nanotubes
• Spintronics of a Nanoelectromechanical Shuttle
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• Sub-Poissonian phononic population in a nanoelectromechanical system
• Quantum Description of Shuttle Instability in Nanoelectromechanical Single Electron Transistor
• Vibrational effects in charge transport through a molecular double quantum dot
• Stochastic thermodynamics of self-oscillations: the electron shuttle
• Quantum Noise in the Electromechanical Shuttle
• Low frequency current noise of the single-electron shuttle
• Simple models suffice for the single dot quantum shuttle
• Autonomous implementation of thermodynamic cycles at the nanoscale
• Motor effect in electron transport through a molecular junction with torsional vibrations
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• Real-time diagrammatic approach to current-induced forces: Application to quantum-dot based nanomotors
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• Spin-detection in a quantum electromechanical shuttle system
• Temperature dependence of electron transport through a quantum shuttle
• Dynamics and Current Fluctuations in AC driven Charge Shuttle
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• Time-dependent quantum transport in a resonant tunnel junction coupled to a nanomechanical oscillator
• Limit-Cycles and Chaos in the Current Through a Quantum Dot
• Extractable work in quantum electromechanics
• Vibrational Coherences in Nano-Elastic Tunneling
• Charge-vibration interaction effects in normal-superconductor quantum dots
• Non-Equilibrium and Quantum Coherent Phenomena in the Electromechanics of Suspended Nanowires
• Tunnel spectroscopy in ac-driven quantum dot nanoresonators
• Enhancing the conductance of a two-electron nanomechanical oscillator
• Proposal of a realistic stochastic rotor engine based on electron shuttling
• Current and current fluctuations in quantum shuttles
• Impact of van der Waals forces on the classical shuttle instability
• Spin-mediated photomechanical coupling of a nanoelectromechanical shuttle
• Current-oscillator correlation and Fano factor spectrum of quantum shuttle with finite bias voltage and temperature
• Physics at the FQMT'04 conference
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• Dynamics of Shuttle Devices
• Dephasing of electrons in the Aharonov-Bohm interferometer with a single-molecular vibrational junction
• Quantum theory of shuttling instability in a movable quantum dot array
• Electron shuttle as an autonomous single-electron source
• Temperature independent current deficit due to induced quantum nanowire vibrations
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Mechanical modulation of single-electron tunneling through molecular-assembled metallic nanoparticles
• Hidden vibrational bistability revealed by intrinsic fluctuations of a carbon nanotube
• Current without bias and diode effect in shuttling transport of nanoshafts
• Nano-mechanics driven by Andreev tunneling
• Shuttle instabilities: semiclassical phase analysis
• Powering an autonomous clock with quantum electromechanics
• Coulomb blockade for an oscillating tunnel junction
• Interference and shot noise in a degenerate Anderson-Holstein model
• Nanoelectromechanical rotary current rectifier
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• Manipulation of a single magnetic atom using polarized single electron transport in a double quantum dot
• Spin-Polaronic Effects in Electric Shuttling in a Single Molecule Transistor with Magnetic Leads
• Coupled Nanomechanical Electron Shuttles: Full Stochastic Modeling and Device-Level Simulation
• Conductance of a SET with a retarded dielectric layer in the gate capacitor
• Pumping and cooling of nanomechanical vibrations generated by Cooper pair exchange