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Light-Matter Hybrid-Orbital-Based First-Principles Methods: The Influence of Polariton Statistics.

Florian Buchholz1, Iris Theophilou1, Klaas J H Giesbertz2

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Understanding strong matter-photon interactions requires accurate quantum electrodynamics methods. This study introduces polaritonic Hartree-Fock theory, ensuring correct hybrid Fermi-Bose statistics for photon-dressed particles, crucial for accurate simulations.

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Area of Science:

  • Quantum electrodynamics
  • Condensed matter physics
  • Computational chemistry

Background:

  • Accurate simulation of strong matter-photon interactions is essential.
  • The fundamental Pauli-Fierz Hamiltonian in nonrelativistic quantum electrodynamics is computationally challenging.
  • Extending electronic-structure methods to quantum electrodynamics requires novel approaches.

Purpose of the Study:

  • To develop efficient first-principle methods for strong matter-photon interactions.
  • To investigate the hybrid Fermi-Bose statistics of polaritons in cavities.
  • To introduce a general prescription for extending first-principles approaches to polaritons.

Main Methods:

  • Embedding the Pauli-Fierz Hamiltonian in a hybrid light-matter auxiliary configuration space.
  • Enforcing representability conditions on the dressed one-body reduced density matrix to ensure correct statistics.
  • Developing polaritonic Hartree-Fock theory as an extension of first-principles methods.

Main Results:

  • Violations of hybrid Fermi-Bose statistics for polaritons can lead to unphysical results.
  • Polaritonic Hartree-Fock theory correctly describes electronic correlations by acting as a multireference method in electronic space.
  • Lattice model applications show that delocalized wave functions react more strongly to photons, modifying ground-state properties.

Conclusions:

  • The proposed methods ensure accurate simulations of quantum electrodynamics phenomena.
  • Hybrid Fermi-Bose statistics are critical for describing photon-dressed particles in cavities.
  • Coupling to the quantum vacuum can significantly alter ground-state properties of materials.