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Alex Greilich1, Nataliia E Kopteva2, Vladimir L Korenev3

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Modulating laser excitation in an InGaAs semiconductor reveals complex nonlinear dynamics. The electron-nuclear spin system exhibits phenomena like Arnold tongues and devil's staircases, offering insights into time matter phases.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Optics
  • Nonlinear Dynamics

Background:

  • Electron-nuclear spin systems in semiconductors like InGaAs serve as testbeds for nonlinear dynamics.
  • Continuous laser excitation can induce auto-oscillations, mimicking time-crystalline behavior.

Purpose of the Study:

  • To investigate the nonlinear dynamics of a coupled electron-nuclear spin system under periodic modulation of circularly polarized laser excitation.
  • To explore phenomena arising from deviations from continuous driving and their dependence on modulation parameters.

Main Methods:

  • Periodic modulation of excitation polarization applied to the InGaAs electron-nuclear spin system.
  • Analysis of system responses, including auto-oscillations, entrainment, and bifurcations.
  • Modeling of the periodically pumped electron-nuclear spin system.

Main Results:

  • Observed frequency entrainment ranges forming Arnold tongues, with width dependent on polarization modulation depth.
  • Discovered fractional subharmonic responses and devil's staircase structures outside entrainment ranges.
  • Identified chaotic behavior emerging near entrainment ranges through increasing bifurcations.

Conclusions:

  • The study reveals rich nonlinear phenomena in modulated electron-nuclear spin systems.
  • Findings provide a model for understanding complex dynamics and their relation to time matter phases.
  • Periodic modulation offers a route to explore novel quantum and dynamical behaviors.