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Fröhlich-coupled qubits interacting with fermionic baths.

Erik Aurell1, Jan Tuziemski2

  • 1KTH Royal Institute of Technology, AlbaNova University Center, SE-106 91 Stockholm, Sweden and Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, 30-348 Kraków, Poland.

Physical Review. E
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Summary
This summary is machine-generated.

We studied a qubit interacting with fermions using Feynman-Vernon theory. The quartic term in the influence action vanishes, showing distinct temperature dependence compared to bosonic models.

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Area of Science:

  • Quantum mechanics
  • Condensed matter physics

Background:

  • The Fröhlich polaron model describes a quantum system interacting with a bosonic bath.
  • Feynman-Vernon theory is a powerful tool for analyzing quantum system-bath interactions.

Purpose of the Study:

  • To analyze the influence action for a qubit interacting with a fermionic bath.
  • To extend Feynman-Vernon theory to non-harmonic baths.

Main Methods:

  • Utilizing an extension of Feynman-Vernon theory for non-harmonic baths.
  • Evaluating quadratic and quartic terms in the influence action for a qubit-fermion system.

Main Results:

  • The quartic term in the influence action vanishes due to symmetry.
  • The system-bath interaction exhibits similarities to bosonic harmonic oscillator models up to sixth order.
  • The temperature dependence differs significantly from bosonic models.

Conclusions:

  • The vanishing quartic term simplifies the analysis of qubit-fermion interactions.
  • Fermionic baths introduce unique temperature dependencies not present in standard polaron models.
  • This research highlights the importance of bath composition in quantum system dynamics.