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Driven generalized quantum Rayleigh-van der Pol oscillators: Phase localization and spectral response.

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This study analyzes driven quantum oscillators, revealing conditions where phase localization occurs without synchronization. The research explores symmetry breaking and its impact on oscillator dynamics, finding asymmetric Arnold tongues.

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Area of Science:

  • Quantum Optics
  • Nonlinear Dynamics
  • Condensed Matter Physics

Background:

  • Driven classical self-sustained oscillators are well-studied for synchronization.
  • Quantum oscillators present unique dynamics influenced by dissipation and nonlinearity.

Purpose of the Study:

  • Analyze the driven generalized quantum Rayleigh-van der Pol oscillator.
  • Investigate the impact of symmetry-breaking nonlinear terms on synchronization.

Main Methods:

  • Utilized the master equation for quantum analysis.
  • Examined dynamics across deep quantum to near-classical regimes.
  • Varied drive strength and detuning parameters.

Main Results:

  • Identified parameter spaces with phase localization but lacking frequency entrainment, indicating failed synchronization.
  • Observed analogs of classical Arnold tongues in quantum system observables.
  • Found asymmetry in Arnold tongues concerning detuning.

Conclusions:

  • Symmetry-breaking dissipators significantly affect quantum oscillator synchronization.
  • Distinction between phase localization and true synchronization is crucial.
  • Quantum effects lead to novel phenomena like asymmetric Arnold tongues.