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Area of Science:

  • Quantum optics
  • Condensed matter physics
  • Quantum information science

Background:

  • Emitter-waveguide systems offer controllable quantum emission channels.
  • Feedback mechanisms are crucial for controlling quantum dynamics and correlations.
  • Emergent collective behavior and quantum correlations are key areas in quantum science.

Purpose of the Study:

  • To investigate the creation and control of emergent collective behavior and quantum correlations.
  • To explore the use of feedback in emitter-waveguide systems.
  • To analyze the emergence of a time-crystal phase and its control via feedback strength.

Main Methods:

  • Utilizing a minimal model of an emitter-waveguide system.
  • Employing homodyne detection of photons from a laser-driven emitter ensemble.
  • Developing a theory for the dynamics of fluctuation operators.

Main Results:

  • Demonstrated the emergence of a time-crystal phase controlled by feedback strength.
  • Showed that feedback controls many-body quantum correlations, specifically spin squeezing.
  • Quantified spin squeezing and fluctuations, revealing critical scaling near the time-crystal transition.

Conclusions:

  • Integrated emitter-waveguide systems are promising for exploring collective quantum phenomena.
  • Feedback is a powerful tool for generating quantum resources like squeezed states.
  • The findings support applications in quantum-enhanced metrology.