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This study explores spectral collapse in the anisotropic two-photon Rabi model. Light-matter interaction and spin-flipping compete, with light-matter interaction dominating at critical couplings to induce spectral collapse.

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Area of Science:

  • Quantum Optics
  • Atomic Physics
  • Condensed Matter Theory

Background:

  • The anisotropic two-photon Rabi model describes light-matter interactions.
  • Spectral collapse is a phenomenon where energy levels become continuous.

Purpose of the Study:

  • Investigate spectral collapse in the anisotropic two-photon Rabi model.
  • Analyze the competing effects of light-matter interaction and spin-flipping.

Main Methods:

  • Variational study using a squeezed-state trial wave function.
  • Analysis of competing impacts on the radiation mode frequency.

Main Results:

  • Light-matter interaction and spin-flipping act as competing forces on the radiation mode.
  • Light-matter interaction dominance leads to spectral collapse beyond critical couplings.
  • Incomplete spectral collapse occurs at critical couplings, resulting in discrete and continuous energy spectra.

Conclusions:

  • The number of discrete bound states is determined by the atomic energy level difference.
  • Each eigenenergy exhibits twofold degeneracy due to spin.
  • The study provides insights into the complex dynamics of light-matter interactions and spectral phenomena.