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Manipulating the spectral collapse in two-photon Rabi model.

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  • 1Department of Physics, Institute of Theoretical Physics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong. cflo@phy.cuhk.edu.hk.

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We investigated the two-photon Rabi model with full quadratic coupling, finding spectral collapse occurs at lower critical coupling strengths. This incomplete collapse allows monitoring bound states by adjusting atomic energy differences.

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Area of Science:

  • Quantum optics
  • Atomic physics
  • Condensed matter theory

Background:

  • The Rabi model describes light-matter interactions.
  • Spectral collapse is a phenomenon where discrete energy levels merge into a continuum.
  • Previous studies focused on simpler forms of coupling.

Purpose of the Study:

  • To investigate the eigenenergy spectrum of the two-photon Rabi model with full quadratic coupling.
  • To analyze the phenomenon of spectral collapse under these conditions.
  • To explore methods for manipulating the critical coupling strength.

Main Methods:

  • Analysis of the eigenenergy spectrum.
  • Comparison with a particle in a finite potential well model.
  • Theoretical investigation of coupling strength modifications.

Main Results:

  • The critical coupling strength for spectral collapse is reduced by half compared to the standard two-photon Rabi model.
  • An incomplete spectral collapse is observed, with discrete energy levels surviving below the continuum.
  • A one-to-one mapping exists between surviving discrete eigenenergies and bound states of a variable effective mass particle in a finite potential well.
  • The extent of spectral collapse can be monitored by the energy difference between atomic levels.
  • The full quadratic coupling allows for manipulation of the critical coupling strength via an adjustable proportionality constant.

Conclusions:

  • Full quadratic coupling in the two-photon Rabi model leads to spectral collapse at more accessible critical coupling values.
  • The observed incomplete spectral collapse provides a tunable mechanism for studying quantum phenomena.
  • The findings offer new avenues for controlling light-matter interactions in quantum systems.