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Wenlin Li1, Wenzhao Zhang2, Chong Li1

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This study introduces a new method to quantify quantum synchronization, focusing on nonlocal correlations. The developed measure helps distinguish classical from quantum synchronization and is applied to quantum optomechanical systems.

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Area of Science:

  • Quantum physics
  • Quantum information science

Background:

  • Quantum synchronization is a widely studied phenomenon.
  • Distinguishing classical from quantum synchronization requires understanding nonlocal correlations.

Purpose of the Study:

  • To present basic postulates for quantifying quantum synchronization.
  • To develop a general formula for a quantum synchronization measure.
  • To characterize the influence of nonlocal correlations on synchronization.

Main Methods:

  • Building upon Mari's theory.
  • Introducing Pearson's parameter.
  • Applying the measure to quantum optomechanical systems under a Markovian bath.

Main Results:

  • A general formula for a quantum synchronization measure with clear physical interpretations.
  • Demonstration of the measure's relativity and monotonicity.
  • Successful application to quantum optomechanical systems.

Conclusions:

  • The proposed measure effectively quantifies quantum synchronization.
  • The measure can differentiate classical and quantum synchronization based on nonlocal correlations.
  • The framework is applicable to generalized and discrete variable synchronization.