Quantum features of macroscopic fields: entropy and dynamics

Robert Alicki


Macroscopic fields such as electromagnetic, magnetohydrodynamic, acoustic or gravitational waves are usually described by classical wave equations with possible additional damping terms and coherent sources. The aim of this paper is to develop a complete macroscopic formalism including random/thermal sources, dissipation and random scattering of waves by environment. The proposed reduced state of the field combines averaged field with the two-point correlation function called single-particle density matrix. The evolution equation for the reduced state of the field is obtained by reduction of the generalized quasi-free dynamical semigroups describing irreversible evolution of bosonic quantum field and the definition of entropy for the reduced state of the field follows from the von Neumann entropy of quantum field states. The presented formalism can be applied, for example, to superradiance phenomena and allows unifying the Mueller and Jones calculi in polarization optics.
Author Robert Alicki (ICTQT)
Robert Alicki,,
- International Centre for Theory of Quantum Technologies
Journal seriesEntropy, ISSN 1099-4300, (N/A 100 pkt)
Issue year2019
Publication size in sheets0.6
Article number705
Keywords in Englishclassical field theory, quantum open systems, von Neumann entropy, Mueller Jones calculi
ASJC Classification3100 General Physics and Astronomy
URL https://doi.org/10.3390/e21070705
Languageen angielski
LicenseJournal (articles only); published final; Uznanie Autorstwa (CC-BY); with publication
Score (nominal)100
Score sourcejournalList
ScoreMinisterial score = 100.0, 28-01-2020, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2018 = 1.206; WoS Impact Factor: 2018 = 2.419 (2) - 2018=2.505 (5)
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