Thermal fluctuations and electromagnetic noise spectra in quantum statistical mechanics
- We derive the thermal noise spectrum of the longitudinal and transverse electric field operator of a given wave vector starting from the quantum-statistical definitions and relate it to the frequency and wave vector dependent complex conductivity in a homogeneous, isotropic system of electromagnetic interacting charged particles in the frame of the non-relativistic QED. No additional assumptions except the validity of linear response are used in the proof. The Nyquist formula for vanishing frequency, as well as the noise spectral density of Callen-Welton follow as byproduct. Furthermore we discuss also the noise of the photon occupation numbers.
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| Author: | Ladislaus Alexander BányaiORCiDGND, Mircea Bundaru, Paul GartnerORCiD |
|---|---|
| URN: | urn:nbn:de:hebis:30:3-694903 |
| DOI: | https://doi.org/10.1007/s10773-022-05124-8 |
| ISSN: | 1572-9575 |
| Parent Title (English): | International journal of theoretical physics |
| Publisher: | Springer Science + Business Media B.V. |
| Place of publication: | New York, NY |
| Document Type: | Article |
| Language: | English |
| Date of Publication (online): | 2022/06/09 |
| Date of first Publication: | 2022/06/09 |
| Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
| Release Date: | 2023/05/11 |
| Tag: | Fluctuations; Linear response; Longitudinal and transverse electric fields; Noise spectra; Nyquist noise; Photon number noise; QED |
| Volume: | 61 |
| Issue: | 6, art. 164 |
| Article Number: | 164 |
| Page Number: | 14 |
| First Page: | 1 |
| Last Page: | 14 |
| Note: | Open Access funding enabled and organized by Projekt DEAL. |
| Institutes: | Physik |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Sammlungen: | Universitätspublikationen |
| Licence (German): |  Creative Commons - CC BY - Namensnennung 4.0 International |
