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Macroscopic quantum electrodynamics and duality.

Stefan Yoshi Buhmann1, Stefan Scheel

  • 1Quantum Optics and Laser Science, Blackett Laboratory, Imperial College London, Prince Consort Road, London SW7 2AZ, United Kingdom.

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Summary
This summary is machine-generated.

The duality symmetry between electric and magnetic fields holds for macroscopic quantum electrodynamics under specific conditions. This symmetry applies to derived quantities like Casimir forces, enabling new physics predictions from existing ones.

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Area of Science:

  • Quantum Electrodynamics
  • Electromagnetism
  • Symmetry Principles

Background:

  • Macroscopic quantum electrodynamics involves complex interactions between fields and matter.
  • The conditions under which fundamental symmetries like duality hold are crucial for theoretical development.
  • Previous studies have explored duality in various contexts, but its operator-level validity in macroscopic QED requires clarification.

Purpose of the Study:

  • To investigate the conditions for duality symmetry in macroscopic quantum electrodynamics.
  • To determine the operator-level validity of duality for Maxwell's equations and related physical phenomena.
  • To explore the implications of duality invariance for derived quantities and theoretical predictions.

Main Methods:

  • Analysis of Maxwell's equations in the absence of free charges.
  • Examination of operator-level validity for Lorentz forces and atom-field couplings.
  • Proof of invariance for derived quantities under global electric-magnetic exchange.

Main Results:

  • Maxwell's equations without free charges exhibit duality invariance at the operator level.
  • Lorentz forces and general atom-field couplings do not universally satisfy duality.
  • Casimir forces, decay rates, and van der Waals potentials are shown to be invariant under electric-magnetic duality.

Conclusions:

  • Duality symmetry is a valid principle in macroscopic quantum electrodynamics under specific conditions.
  • The identified invariance of derived quantities provides a powerful tool for predicting new physical phenomena.
  • This work establishes a framework for leveraging duality to simplify complex problems in quantum optics and condensed matter physics.