1/f noise and quantum indeterminacy
- URL: http://arxiv.org/abs/2006.12412v1
- Date: Mon, 22 Jun 2020 16:42:25 GMT
- Title: 1/f noise and quantum indeterminacy
- Authors: Kirill A. Kazakov
- Abstract summary: It is shown that a lower bound on the power spectrum exists, related to the antisymmetric part of the voltage correlation function.
A comparison with the 1/f-noise measurements in InGaAs quantum wells is made which shows that the observed noise levels are only a few times higher than the bound established.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: An approach to the problem of 1/f voltage noise in conductors is developed
based on an uncertainty relation for the Fourier-transformed signal. The
quantum indeterminacy caused by non-commutativity of the observables at
different times makes the voltage autocovariance ambiguous, but the power
spectrum of fluctuations remains well-defined. It is shown that a lower bound
on the power spectrum exists, which is related to the antisymmetric part of the
voltage correlation function. Using the Schwinger-Keldysh method, this bound is
calculated explicitly in the case of unpolarized charge carriers with a
parabolic dispersion, and is found to have a 1/f low-frequency asymptotic. A
comparison with the 1/f-noise measurements in InGaAs quantum wells is made
which shows that the observed noise levels are only a few times higher than the
bound established.
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