Linear dynamics subject to thermal fluctuations and non-Gaussian noise: From classical to quantum
arXiv:1301.1234 · doi:10.1088/1367-2630/15/4/043013
Abstract
The dynamics of a linear system embedded in a heat bath environment and subject to non- Gaussian noise is studied. Higher order cumulants in coordinate space are derived and their impact on the dynamics and on asymptotic steady state distributions is analyzed. In the quantum regime non-Gaussian properties are present in the reduced density in coordinate representation which in energy representation exist on a transient time scale only due to symmetry. Within an exactly solvable model our results provide insight into mechanisms of linear detectors as sensors for non- Gaussian noise at high and low temperatures.
7 pages, 2 figures
References in corpus (12)
- Shot Noise in Mesoscopic Conductors
- Counting statistics of single-electron transport in a quantum dot
- Environmental effects in the third moment of voltage fluctuations in a tunnel junction
- Measurement of Counting Statistics of Electron Transport in a Tunnel Junction
- Measurement of finite-frequency current statistics in a single-electron transistor
- Wide-band detection of the third moment of shot noise by a hysteretic Josephson junction
- Stochastic dynamics of a Josephson junction threshold detector
- Detecting charge noise with a Josephson junction: A problem of thermal escape in presence of non-Gaussian fluctuations
- Asymmetric noise probed with a Josephson junction
- Josephson junctions as detectors for non-Gaussian noise
- Josephson junction detector of non-Gaussian noise
- Qubits as devices to detect the third moment of current fluctuations
Cited by in corpus (3)
- Phase dynamics in graphene-based Josephson junctions in the presence of thermal and correlated fluctuations
- Switching times in long-overlap Josephson junctions subject to thermal fluctuations and non-Gaussian noise sources
- Effects of Lévy noise on the dynamics of sine-Gordon solitons in long Josephson junctions