Quantum nano-electromechanics with electrons, quasiparticles and Cooper pairs: effective bath descriptions and strong feedback effects
arXiv:cond-mat/0507646 · doi:10.1088/1367-2630/7/1/238
Abstract
Using a quantum noise approach, we discuss the physics of both normal metal and superconducting single electron transistors (SET) coupled to mechanical resonators. Particular attention is paid to the regime where transport occurs via incoherent Cooper-pair tunneling (either via the Josephson quasiparticle (JQP) or double Josephson quasiparticle (DJQP) process). We show that, surprisingly, the back-action of tunneling Cooper pairs (or superconducting quasiparticles) can be used to significantly cool the oscillator. We also discuss the physical origin of negative damping effects in this system, and how they can lead to a regime of strong electro-mechanical feedback, where despite a weak SET - oscillator coupling, the motion of the oscillator strongly effects the tunneling of the Cooper pairs. We show that in this regime, the oscillator is characterized by an energy-dependent effective temperature. Finally, we discuss the strong analogy between back-action effects of incoherent Cooper-pair tunneling and ponderomotive effects in an optical cavity with a moveable mirror; in our case, tunneling Cooper pairs play the role of the cavity photons.
27 pages, 7 figures; submitted to the New Journal of Physics focus issue on Nano-electromechanical Systems; error in references corrected
References in corpus (17)
- Classical dynamics of a nano-mechanical resonator coupled to a single-electron transistor
- Quantum-Limited Position Detection and Amplification: A Linear Response Perspective
- Squeezing of a nanomechanical resonator by quantum nondemolition measurement and feedback
- Measurement induced quantum-classical transition
- Resonant Cooper Pair Tunneling: Quantum Noise and Measurement Characteristics
- Single-electron Tunneling with Strong Mechanical Feedback
- Sensitivity of a micromechanical displacement detector based on the radio-frequency single-electron transistor
- Dynamics of a nanomechanical resonator coupled to a superconducting single-electron transistor
- Quantum limited sensitivity of SET-based displacement detectors
- Full Frequency Back-Action Spectrum of a Single Electron Transistor during Qubit read-out
- Charge transport through a SET with a mechanically oscillating island
- Shot Noise of a Tunnel Junction Displacement Detector
- Charge and current fluctuations in a superconducting single electron transistor near a Cooper pair resonance
- Shot noise for resonant Cooper pair tunneling
- Nonequilibrium Fluctuations and Decoherence in Nanomechanical Devices Coupled to the Tunnel Junction
- Intrinsic noise of a micro-mechanical displacement detector based on the radio-frequency single-electron transistor
- Quantum-efficient charge detection using a single-electron transistor
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- Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
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- Damping of a nanomechanical oscillator strongly coupled to a quantum dot
- Dynamics of a nanomechanical resonator coupled to a superconducting single-electron transistor
- Ultrasensitive Displacement Noise Measurement of Carbon Nanotube Mechanical Resonators
- Qantum theory of optomechanical cooling
- Cooling and Self-Oscillation in a Nanotube Electro-Mechanical Resonator
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- Quantum Theory of Transmission Line Resonator-Assisted Cooling of a Micromechanical Resonator
- Scattering theory of adiabatic reaction forces due to out-of-equilibrium quantum environments
- Damping and decoherence of a nanomechanical resonator due to a few two level systems
- Quantum analysis of a linear DC SQUID mechanical displacement detector
- Semi-classical dynamics of nano-electromechanical systems
- Ground state cooling of a nanomechanical resonator via a Cooper pair box qubit
- Dissipation in circuit quantum electrodynamics: lasing and cooling of a low-frequency oscillator
- Proposal for a nanomechanical qubit
- Distortion blockade in classical nano-electromechanical resonator
- Giving electrons a ride: nanomechanical electron shuttles
- Quantum master equation descriptions of a nanomechanical resonator coupled to a single-electron transistor
- Ground state cooling of nanomechanical resonator via parametric linear coupling
- Ground-State Cooling of a Mechanical Oscillator by Interference in Andreev Reflection
- Signatures of the Current Blockade Instability in Suspended Carbon Nanotubes
- Laser-like Instabilities in Quantum Nano-electromechanical Systems
- Quantum state readout of individual quantum dots by electrostatic force detection
- Coherent properties of nano-electromechanical systems
- Cooling of a Micro-mechanical Resonator by the Back-action of Lorentz Force
- Effects of electron-phonon interaction on thermal and electrical transport through molecular nano-conductors
- Photon-Number Squeezing in Circuit Quantum Electrodynamics
- Cooling a vibrational mode coupled to a molecular single-electron transistor
- Ground-state cooling the vibrations of suspended carbon-nanotubes with constant electron current
- Phase Transitions in Trajectories of a Superconducting Single-Electron Transistor Coupled to a Resonator
- Current noise of a superconducting single electron transistor coupled to a resonator
- Quantum Brownian Motion of a Macroscopic Object in a General Environment
- Scattering approach to backaction in coherent nanoelectromechanical systems
- Dynamical instabilities of a resonator driven by a superconducting single-electron transistor
- Probing nonlinear mechanical effects through electronic currents: the case of a nanomechanical resonator acting as electronic transistor
- Thermoelectric transport through a quantum nanoelectromechanical system and its backaction
- Fano-like Anti-resonances in Nanomechanical and Optomechanical Systems
- Electro-Mechanical Transition in Quantum dots
- Quantum transport of double quantum dots coupled to an oscillator in arbitrary strong coupling regime
- Delayed-response quantum back-action in nanoelectromechanical systems
- Narrow band microwave radiation from a biased single-Cooper-pair transistor
- Extractable work in quantum electromechanics
- Charge-vibration interaction effects in normal-superconductor quantum dots
- Noise spectrum of a tunnel junction coupled to a nanomechanical oscillator
- Nanomechanical read-out of a single spin
- Cooling a magnetic resonance force microscope via the dynamical back-action of nuclear spins
- Transport properties of a superconducting single-electron transistor coupled to a nanomechanical oscillator
- Mechanically probing coherent tunnelling in a double quantum dot
- Measuring carbon nanotube vibrations using a single-electron transistor as a fast linear amplifier
- Non-linear dynamics of a driven nanomechanical single electron transistor
- Lasing in circuit quantum electrodynamics with strong noise
- Quantum current noise from a Born-Markov master equation
- High Q electromechanics with InAs nanowire quantum dots
- Quantum Nondemolition Photon Counting With a Hybrid Electromechanical Probe
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- Charge and heat transport of soft nanosystems in the presence of time-dependent perturbations
- Spectral properties of a resonator driven by a superconducting single-electron transistor
- Mechanical feedback in the high-frequency limit
- Noise in an SSET-resonator driven by an external field
- Decoherence Suppression by Cavity Optomechanical Cooling
- Powering an autonomous clock with quantum electromechanics
- Coulomb blockade for an oscillating tunnel junction
- Charge noise at Cooper-pair resonances
- Nanomechanical vibrational response from electrical mixing measurements
- Pumping and cooling of nanomechanical vibrations generated by Cooper pair exchange