Classicality of the Bogoliubov Transformations and the Dynamical Casimir Effect Through the Reduced State of the Field

T. Linowskia, L. Rudnickia, b aInternational Centre for Theory of Quantum Technologies, University of Gdańsk, Jana Bażyńskiego 1A, 80-309 Gdańsk, Poland bCenter for Theoretical Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warszawa, Poland

Full Text PDF

We use the reduced state of the field formalism Entropy 21, 705 (2019)) to derive conditions under which a Bogoliubov transformation can be considered semi-classical. We apply this result to the dynamical Casimir effect in a moving medium (Phys. Rev. A 78, 042109 (2008)), discussing its classical and quantum features.

DOI:10.12693/APhysPolA.143.95 topics: Bogoliubov transformations, dynamical Casimir effect, quantum-to-classical transitions, mesoscopic degrees of freedom