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Zero-point term and quantum effects in the Johnson noise of resistors: a critical appraisal
Texas A&M Univ, Dept Elect & Comp Engn, TAMUS 3128, College Stn, TX 77843 USA..
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences, Solid State Physics.
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences, Solid State Physics.
2016 (English)In: Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, E-ISSN 1742-5468, 054006Article in journal (Refereed) PublishedText
Abstract [en]

There is a longstanding debate about the zero-point term in the Johnson noise voltage of a resistor. This term originates from a quantum-theoretical treatment of the fluctuation-dissipation theorem (FDT). Is the zero-point term really there, or is it only an experimental artifact, due to the uncertainty principle, for phase-sensitive amplifiers? Could it be removed by renormalization of theories? We discuss some historical measurement schemes that do not lead to the effect predicted by the FDT, and we analyse new features that emerge when the consequences of the zero-point term are measured via the mean energy and force in a capacitor shunting the resistor. If these measurements verify the existence of a zero-point term in the noise, then two types of perpetual motion machines can be constructed. Further investigation with the same approach shows that, in the quantum limit, the Johnson-Nyquist formula is also invalid under general conditions even though it is valid for a resistor-antenna system. Therefore we conclude that in a satisfactory quantum theory of the Johnson noise, the FDT must, as a minimum, include also the measurement system used to evaluate the observed quantities. Issues concerning the zero-point term may also have implications for phenomena in advanced nanotechnology.

Place, publisher, year, edition, pages
2016. 054006
Keyword [en]
fluctuations (theory), fluctuations (experiments), transport properties (theory), transport properties (experiments)
National Category
Physical Sciences Engineering and Technology
Identifiers
URN: urn:nbn:se:uu:diva-298689DOI: 10.1088/1742-5468/2016/05/054006ISI: 000376529600034OAI: oai:DiVA.org:uu-298689DiVA: diva2:947162
Available from: 2016-07-07 Created: 2016-07-06 Last updated: 2016-07-11Bibliographically approved

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Niklasson, Gunnar A.Granqvist, Claes-Göran
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