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Measures of quantum synchronization in continuous variable systems.

A Mari1, A Farace1, N Didier2

  • 1NEST, Scuola Normale Superiore and Istituto Nanoscienze-CNR, I-56127 Pisa, Italy.

Physical Review Letters
|August 29, 2014
PubMed
Summary
This summary is machine-generated.

We developed new ways to measure quantum synchronization in continuous variable systems. These measures reveal universal bounds on complete synchronization and explore connections to entanglement.

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Area of Science:

  • Quantum physics
  • Quantum information science
  • Synchronization phenomena

Background:

  • Coupled continuous variable quantum systems exhibit complex dynamics.
  • Quantifying synchronization in the quantum realm presents unique challenges.
  • Existing synchronization measures are primarily classical.

Purpose of the Study:

  • To introduce and characterize novel measures for quantum synchronization.
  • To extend classical concepts of complete and phase synchronization to quantum systems.
  • To investigate the interplay between quantum entanglement and synchronization.

Main Methods:

  • Development of two distinct quantitative measures for synchronization.
  • Analysis of synchronization bounds imposed by the Heisenberg principle.
  • Exploration of synchronization in the context of quantum resources like squeezing.
  • Theoretical investigation of the relationship between entanglement and synchronization.

Main Results:

  • Introduction of two measures quantifying synchronization in continuous variable quantum systems.
  • Demonstration that the Heisenberg principle imposes a universal bound on complete synchronization.
  • Characterization of phase synchronization, noting its potential unboundedness but limitations without quantum resources.
  • Elucidation of connections between entanglement and synchronization phenomena.

Conclusions:

  • The proposed measures provide a robust framework for quantifying quantum synchronization.
  • Quantum mechanics, specifically the Heisenberg principle, fundamentally limits complete synchronization.
  • Synchronization in quantum systems is intrinsically linked to entanglement and quantum resources.
  • Potential applications exist in quantum optomechanical systems.