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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Quantum information science

Background:

  • Central spin decoherence is crucial for quantum technologies.
  • Understanding decoherence in magnetic fluctuation baths is challenging.
  • Existing models like spin-boson and spin-bath have limitations.

Purpose of the Study:

  • To compute the decoherence rate of a central spin in a bosonic bath of magnetic fluctuations.
  • To develop a quantum mechanical treatment of magnetic fluctuations using macroscopic quantum electrodynamics.
  • To unify different models of central spin decoherence.

Main Methods:

  • Utilized the spin-boson model for decoherence rate computation.
  • Employed macroscopic quantum electrodynamics formalism for magnetic fluctuations.
  • Applied real-cavity, local-field corrections for regularization.

Main Results:

  • Derived a frequency-independent cutoff function naturally from the formalism.
  • The cutoff function depends on the magnetic permeability of the background material.
  • Demonstrated the connection between spin-boson and spin-bath models.

Conclusions:

  • The developed formalism provides a robust method for calculating central spin decoherence.
  • The natural emergence of the cutoff function eliminates the need for ad-hoc assumptions.
  • This work bridges different theoretical approaches to central spin decoherence, enhancing understanding of quantum systems in magnetic environments.