Full counting statistics and conditional evolution in a nanoelectromechanical system
arXiv:0803.3985 · doi:10.1103/PhysRevB.78.165328
Abstract
We study theoretically the full distribution of transferred charge in a tunnel junction (or quantum point contact) coupled to a nanomechanical oscillator, as well as the conditional evolution of the oscillator. Even if the oscillator is very weakly coupled to the tunnel junction, it can strongly affect the tunneling statistics and lead to a highly non-Gaussian distribution. Conversely, given a particular measurement history of the current, the oscillator energy distribution may be localized and highly non-thermal. We also discuss non-Gaussian correlations between the oscillator motion and tunneling electrons; these show that the tunneling back-action cannot be fully described as an effective thermal bath coupled to the oscillator.
7 pages; figure added; typos corrected
References in corpus (18)
- Shot Noise in Mesoscopic Conductors
- Cooling a nanomechanical resonator with quantum back-action
- Environmental effects in the third moment of voltage fluctuations in a tunnel junction
- Electron shot noise beyond the second moment
- Feedback cooling of a nanomechanical resonator
- Measurement of Counting Statistics of Electron Transport in a Tunnel Junction
- Full counting statistics of nano-electromechanical systems
- Squeezing of a nanomechanical resonator by quantum nondemolition measurement and feedback
- Measurement induced quantum-classical transition
- Intrinsic noise properties of atomic point contact displacement detectors
- Full Counting Statistics of a charge shuttle
- An off-board quantum point contact as a sensitive detector of cantilever motion
- Strong feedback and current noise in nanoelectromechanical systems
- Current noise of a single-electron transistor coupled to a nano-mechanical resonator
- Shot Noise of a Tunnel Junction Displacement Detector
- Statistics of charge transfer in a tunnel junction coupled to an oscillator
- Intrinsic noise of a micro-mechanical displacement detector based on the radio-frequency single-electron transistor
- Measuring the Momentum of a Nanomechanical Oscillator through the Use of Two Tunnel Junctions
Cited by in corpus (8)
- Transport Statistics of Interacting Double Dot Systems: Coherent and Non-Markovian Effects
- Photon-assisted tunneling with non-classical light
- Time-dependent quantum transport in a resonant tunnel junction coupled to a nanomechanical oscillator
- Full Counting Statistics of a Non-adiabatic Electron Pump
- Transport properties of a superconducting single-electron transistor coupled to a nanomechanical oscillator
- Full counting statistics of the two-stage Kondo effect
- A nanomechanical resonator coupled linearly via its momentum to a quantum point contact
- The effect of noise fluctuation of a quantum tunneling device coupled to a substrate