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Quantum synchronization in an optomechanical system based on Lyapunov control.

Wenlin Li1, Chong Li1, Heshan Song1

  • 1School of Physics and Optoelectronic Engineering, Dalian University of Technology, 116024, China.

Physical Review. E
|July 15, 2016
PubMed
Summary

Researchers introduce quantum generalized synchronization, a flexible extension of complete synchronization. This new framework, demonstrated in an optomechanical system, utilizes Lyapunov control for adaptable synchronization and explores quantum entanglement.

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Area of Science:

  • Quantum Optics
  • Quantum Control
  • Synchronization Theory

Background:

  • Introduced quantum complete synchronization and phase synchronization.
  • Generalized synchronization as a flexible derivative of complete synchronization.

Purpose of the Study:

  • Extend synchronization concepts to quantum generalized synchronization.
  • Propose and analyze criteria and measures for generalized synchronization.
  • Investigate quantum entanglement in generalized synchronization.

Main Methods:

  • Designed an optomechanical system for studying generalized synchronization.
  • Employed Lyapunov control theory to design extra control fields.
  • Utilized time-variant voltage for achieving control fields.

Main Results:

  • Developed a criterion and measure for quantum generalized synchronization.
  • Demonstrated adaptable control objectives using Lyapunov functions.
  • Confirmed the feasibility of control fields with time-variant voltage.

Conclusions:

  • Quantum generalized synchronization offers a more flexible approach than complete synchronization.
  • Lyapunov control theory is effective for generalized synchronization in designed systems.
  • Quantum entanglement can exist within different generalized synchronization schemes.