Coherent properties of nano-electromechanical systems

Abstract

We study the properties of a nano-electromechanical system in the coherent regime, where the electronic and vibrational time scales are of the same order. Employing a master equation approach, we obtain the stationary reduced density matrix retaining the coherences between vibrational states. Depending on the system parameters, two regimes are identified, characterized by either ($i$) an {\em effective} thermal state with a temperature {\em lower} than that of the environment or ($ii$) strong coherent effects. A marked cooling of the vibrational degree of freedom is observed with a suppression of the vibron Fano factor down to sub-Poissonian values and a reduction of the position and momentum quadratures.

12 pages, 11 figures

References in corpus (58)

• Opportunities for mesoscopics in thermometry and refrigeration: Physics and applications
• Theory of ground state cooling of a mechanical oscillator using dynamical back-action
• Franck-Condon blockade and giant Fano factors in transport through single molecules
• Phonon effects in molecular transistors: Quantum and classical treatment
• Nanomechanical motion measured with precision beyond the standard quantum limit
• Microscopic derivation of rate equations for quantum transport
• Resonant tunneling through ultrasmall quantum dots: zero-bias anomalies, magnetic field dependence, and boson-assisted transport
• Electrical generation and absorption of phonons in carbon nanotubes
• Back-action evasion and squeezing of a mechanical resonator using a cavity detector
• Franck-Condon blockade in suspended carbon nanotube quantum dots
• Vibrational sidebands and dissipative tunneling in molecular transistors
• Theory of the Franck-Condon blockade regime
• Tunneling in suspended carbon nanotubes assisted by longitudinal phonons
• Back-action Evading Measurements of Nanomechanical Motion
• Dynamical Backaction of Microwave Fields on a Nanomechanical Oscillator
• Resonant inelastic tunneling in molecular junctions
• Tunneling through molecules and quantum dots: master-equation approaches
• Single electron-phonon interaction in a suspended quantum dot phonon cavity
• Classical dynamics of a nano-mechanical resonator coupled to a single-electron transistor
• Quantum Shuttle in Phase Space
• Shot Noise of a Quantum Shuttle
• Real-time renormalization group and charge fluctuations in quantum dots
• Squeezing of a nanomechanical resonator by quantum nondemolition measurement and feedback
• Quantum nano-electromechanics with electrons, quasiparticles and Cooper pairs: effective bath descriptions and strong feedback effects
• Quantum dynamics of a resonator driven by a superconducting single-electron transistor: a solid-state analogue of the micromaser
• Phonon-mediated negative differential conductance in molecular quantum dots
• A Quantum Non-demolition measurement of Fock states of mesoscopic mechanical oscillators
• Self-consistent theory of molecular switching
• Quantum limited sensitivity of SET-based displacement detectors
• Cooling of mechanical motion with a two level system: the high temperature regime
• Strong feedback and current noise in nanoelectromechanical systems
• Non-linear response of molecular junctions: The polaron model revisited
• Semi-classical dynamics of nano-electromechanical systems
• Current noise of a single-electron transistor coupled to a nano-mechanical resonator
• Cooling a mechanical resonator via coupling to a tunable double quantum dot
• Electrical transport through a single-electron transistor strongly coupled to an oscillator
• Asymmetric Franck-Condon factors in suspended carbon nanotube quantum dots
• Quantum master equation descriptions of a nanomechanical resonator coupled to a single-electron transistor
• Anomalous suppression of the shot noise in a nanoelectromechanical system
• Negative differential conductance induced by spin-charge separation
• Resonance fluorescence in driven quantum dots: electron and photon correlations
• Stochastic dynamics for a single vibrational mode in molecular junctions
• Sub-Poissonian phononic population in a nanoelectromechanical system
• Control of spin in quantum dots with non-Fermi liquid correlations
• Cooling a vibrational mode coupled to a molecular single-electron transistor
• Vibration-mediated resonant tunneling and shot noise through a molecular quantum dot
• Ground-state cooling the vibrations of suspended carbon-nanotubes with constant electron current
• Phonon-assisted tunneling in interacting suspended single wall carbon nanotubes
• Current noise of a superconducting single electron transistor coupled to a resonator
• Dynamical instabilities of a resonator driven by a superconducting single-electron transistor
• Electron-vibron coupling in suspended nanotubes
• Quantum transport through single-molecule junctions with orbital degeneracies
• Continuous quantum non-demolition measurement of Fock states of a nanoresonator using feedback-controlled circuit QED
• Phonon distributions of a single bath mode coupled to a quantum dot
• Spin effects in transport through non-Fermi liquid quantum dots
• Vibrational Coherences in Nano-Elastic Tunneling
• Spectral properties of a resonator driven by a superconducting single-electron transistor
• Mechanical feedback in the high-frequency limit

Cited by in corpus (24)

• AFM probe for the signatures of Wigner correlations in the conductance of a one-dimensional quantum dot
• Effects of electron-phonon interaction on thermal and electrical transport through molecular nano-conductors
• An electrical probe for mechanical vibrations in suspended carbon nanotubes
• Adiabaticity in semiclassical nanoelectromechanical systems
• Out of equilibrium density dynamics of a quenched fermionic system
• Vibrationally-mediated molecular transistors
• Microwave quantum optics and electron transport through a metallic dot strongly coupled to a transmission line cavity
• Temperature-induced emergence of Wigner correlations in a STM-probed one-dimensional quantum dot
• Thermoelectric transport through a quantum nanoelectromechanical system and its backaction
• Electro-Mechanical Transition in Quantum dots
• Non-linear Coulomb blockade microscopy of a correlated one-dimensional quantum dot
• Magnetic effects on nonlinear mechanical properties of a suspended carbon nanotube
• Bistability and Displacement Fluctuations in a Quantum Nano-mechanical Oscillator
• Charge-vibration interaction effects in normal-superconductor quantum dots
• Interplay between electron-electron and electron-vibration interactions on the thermoelectric properties of molecular junctions
• Non-linear dynamics of a driven nanomechanical single electron transistor
• Lasing in circuit quantum electrodynamics with strong noise
• Finite frequency current noise in the Holstein model
• Transient dynamics of an adiabatic NEMS
• Single-photon pump by Cooper-pair splitting
• Charge and heat transport of soft nanosystems in the presence of time-dependent perturbations
• Carbon nanotube sensor for vibrating molecules
• Probing Wigner correlations in a suspended carbon nanotube
• Quantum turnstile regime of nanoelectromechanical systems