Linear dynamics subject to thermal fluctuations and non-Gaussian noise: from classical to quantum

The dynamics of a linear system embedded in a heat bath environment and subject to white non-Gaussian noise is studied. Classical higher-order cumulants in coordinate space are derived for Poissonian noise and their impact on the dynamics and on asymptotic steady-state distributions is analyzed. In...

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Published inNew journal of physics Vol. 15; no. 4; pp. 43013 - 13
Main Authors Köpke, M, Ankerhold, J
Format Journal Article
LanguageEnglish
Published IOP Publishing 10.04.2013
Subjects
Asymptotic properties
Density
Dynamic tests
Dynamics
Mathematical models
Noise
Non-Gaussian
Representations
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ISSN1367-2630
1367-2630
DOI10.1088/1367-2630/15/4/043013

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Summary:The dynamics of a linear system embedded in a heat bath environment and subject to white non-Gaussian noise is studied. Classical higher-order cumulants in coordinate space are derived for Poissonian noise and their impact on the dynamics and on asymptotic steady-state distributions is analyzed. In the quantum regime, non-Gaussian properties are present in reduced density in coordinate representation, but in energy representation they 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.
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ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/15/4/043013