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We introduce a new measure for quantum synchronization, called the degree of quantumness. This metric quantifies the quantum nature of synchronization by counting synchronizing non-commuting observables.

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Area of Science:

  • Quantum Information Science
  • Quantum Optics
  • Condensed Matter Physics

Background:

  • Quantum synchronization is a key phenomenon in quantum systems.
  • Existing measures may not fully capture the quantum nature of synchronization.
  • Understanding quantum synchronization is crucial for quantum technologies.

Purpose of the Study:

  • To introduce a novel measure for quantum synchronization: the degree of quantumness.
  • To quantify the quantum nature of synchronization in quantum systems.
  • To explore the applicability of this measure in various quantum systems.

Main Methods:

  • Utilizing quantum information techniques to define the degree of quantumness.
  • Proposing the number of synchronizing non-commuting observables as a figure of merit.
  • Illustrating the concept in a coupled cavity-qubit system.

Main Results:

  • The degree of quantumness is compatible with existing synchronization measures.
  • This new metric captures distinct physical properties of quantum synchronization.
  • Synchronization of Pauli operators and a superconducting circuit setup are studied.

Conclusions:

  • The degree of quantumness provides a valuable tool for characterizing quantum synchronization.
  • The proposed measure is applicable to diverse quantum systems, including quantum van der Pol oscillators.
  • This work paves the way for deeper investigations into quantum synchronization phenomena.