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Title: Floquet Dynamics of Classical and Quantum Cavity Fields.

Abstract

We show that the time-dependence of electromagnetic field in a periodically modulated cavity can be effectively analyzed using a Floguet map. The map relates the field states separated by one period of the drive; iterative application of the map allows to determine field configuration after arbitrary number of drive periods. For resonant and near-resonant drives, the map has stable and unstable fixed points, which are the loci of infinite energy concentration in the long time limit. The Floquet map method can be applied both to classical and quantum massless field problems, including the dynamical Casimir effect. The stroboscopic time evolution implemented by the map can be interpreted in terms of the wave propagation in a curved space, with the fixed points of the map corresponding to the black hole and white hole horizons. More practically, the map can be used to design protocols for signal compression/decompression, cooling, and sensing.

Authors:
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science - Office of Basic Energy Sciences - Materials Sciences and Engineering Division; National Science Foundation (NSF)
OSTI Identifier:
1530181
DOE Contract Number:  
AC02-06CH11357
Resource Type:
Journal Article
Journal Name:
Annals of Physics
Additional Journal Information:
Journal Volume: 405
Country of Publication:
United States
Language:
English
Subject:
Casimir effect; Floquet dynamics; Laser; Mode locking; Unruh effect

Citation Formats

Martin, Ivar. Floquet Dynamics of Classical and Quantum Cavity Fields.. United States: N. p., 2019. Web. doi:10.1016/j.aop.2019.03.017.
Martin, Ivar. Floquet Dynamics of Classical and Quantum Cavity Fields.. United States. doi:10.1016/j.aop.2019.03.017.
Martin, Ivar. Sat . "Floquet Dynamics of Classical and Quantum Cavity Fields.". United States. doi:10.1016/j.aop.2019.03.017.
@article{osti_1530181,
title = {Floquet Dynamics of Classical and Quantum Cavity Fields.},
author = {Martin, Ivar},
abstractNote = {We show that the time-dependence of electromagnetic field in a periodically modulated cavity can be effectively analyzed using a Floguet map. The map relates the field states separated by one period of the drive; iterative application of the map allows to determine field configuration after arbitrary number of drive periods. For resonant and near-resonant drives, the map has stable and unstable fixed points, which are the loci of infinite energy concentration in the long time limit. The Floquet map method can be applied both to classical and quantum massless field problems, including the dynamical Casimir effect. The stroboscopic time evolution implemented by the map can be interpreted in terms of the wave propagation in a curved space, with the fixed points of the map corresponding to the black hole and white hole horizons. More practically, the map can be used to design protocols for signal compression/decompression, cooling, and sensing.},
doi = {10.1016/j.aop.2019.03.017},
journal = {Annals of Physics},
number = ,
volume = 405,
place = {United States},
year = {2019},
month = {6}
}