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Multipole Approach to the Dynamical Casimir Effect with Finite-Size Scatterers.

Lucas Alonso1, Guilherme C Matos2, François Impens2

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|March 28, 2024
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Summary
This summary is machine-generated.

The dynamical Casimir effect (DCE) is overestimated by assuming infinite mirrors. A new dipolar approximation offers a more realistic model for DCE radiation from macroscopic objects.

Keywords:
dynamical Casimir effecteffective hamiltoniansmultipolar expansion

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Area of Science:

  • Quantum Optics
  • Condensed Matter Physics
  • Cavity Quantum Electrodynamics

Background:

  • The dynamical Casimir effect (DCE) describes photon emission from a vibrating mirror interacting with quantum vacuum fluctuations.
  • Conventional models often approximate mirrors as infinite surfaces, potentially overestimating DCE radiation in practical scenarios.

Purpose of the Study:

  • To investigate the limitations of the infinite mirror assumption for DCE in realistic experimental conditions.
  • To develop a more accurate theoretical framework for DCE in macroscopic bodies.

Main Methods:

  • Utilizing a dipolar approximation as an alternative to the infinite mirror model.
  • Extending a microscopic DCE theory to the macroscopic realm using an effective Hamiltonian for moving anisotropic scatterers.

Main Results:

  • Demonstrated that the infinite mirror assumption significantly overestimates DCE radiation for finite-sized mirrors and realistic oscillation frequencies.
  • The dipolar approximation provides a simpler and more realistic treatment of DCE for macroscopic objects.

Conclusions:

  • Realistic mirror dimensions and oscillation frequencies necessitate a departure from the infinite surface approximation for accurate DCE predictions.
  • The developed macroscopic approach, based on the dipolar approximation, offers a more faithful description of DCE from various geometries.