Commutation-relation-preserving ladder operators for propagating optical fields in nonuniform lossy media

Mikko Partanen, Teppo Häyrynen, Jukka Tulkki, Jani Oksanen

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Abstract

We have recently developed a quantized fluctuational electrodynamics (QFED) formalism to describe the quantum aspects of local thermal balance formation and to formulate the electromagnetic field ladder operators so that they no longer exhibit the anomalies reported for resonant structures. Here we show how the QFED can be used to resolve between the left and right propagating fields to bridge the QFED and the quantum optical input-output relations commonly used to describe selected quantum aspects of resonators. The generalized model introduces a density of states concept describing interference effects, which is instrumental in allowing an unambiguous separation of the fields and related quantum operators into left and right propagating parts. In addition to providing insight on the quantum treatment of interference, our results also provide the conclusive resolution of the long-standing enigma of the anomalous commutation relations of partially confined propagating fields.
Original languageEnglish
Article number033839
JournalPhysical Review A
Volume92
Issue number3
Number of pages6
ISSN2469-9926
DOIs
Publication statusPublished - 2015

Keywords

  • Atomic and Molecular Physics, and Optics
  • Electrodynamics
  • Electromagnetic fields
  • Ladders
  • Commutation relation
  • Fluctuational electrodynamics
  • Generalized models
  • Input-output relations
  • Interference effects
  • Propagating field
  • Quantum treatment
  • Resonant structures
  • Quantum theory
  • quant-ph
  • OPTICS
  • PHYSICS,
  • ELECTROMAGNETIC-FIELD
  • ABSORBING DIELECTRICS
  • QUANTUM OPTICS
  • QUANTIZATION
  • INTERFACE

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