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Quantum Rabi Model with Two-Photon Relaxation.

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Even-photon relaxation in cavity-quantum electrodynamics (QED) preserves Z2 symmetry. This study explores distinct system dynamics based on initial state parity, even at weak coupling.

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Area of Science:

  • Quantum Optics
  • Cavity Quantum Electrodynamics (QED)
  • Open Quantum Systems

Background:

  • The Rabi model describes light-matter interaction in quantum systems.
  • Two-photon relaxation is a key dissipation channel in cavity-QED.
  • Understanding open quantum system dynamics is crucial for quantum technologies.

Purpose of the Study:

  • To investigate the impact of two-photon relaxation on a two-level system coupled to a cavity mode.
  • To analyze the role of Z2 symmetry in the non-Hermitian dynamics of the Rabi model.
  • To explore parity-dependent transient and steady-state behaviors.

Main Methods:

  • Modeling system dynamics using a Lindblad master equation.
  • Incorporating the Rabi Hamiltonian and a two-photon dissipator.
  • Analyzing dynamics in the number-parity basis.

Main Results:

  • Even-photon relaxation maintains the Z2 symmetry of the Rabi model.
  • Distinct transient and steady-state behaviors observed for even and odd initial parity states.
  • Parity-sensitive dynamics are present across weak and ultrastrong coupling regimes.

Conclusions:

  • Z2 symmetry plays a critical role in the excitation-relaxation dynamics of open cavity-QED systems.
  • Initial state parity significantly influences system behavior, unlike in Hermitian dynamics.
  • The findings extend the understanding of the open Rabi spectrum and its symmetry properties.