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Quantum synchronization of a driven self-sustained oscillator.

Stefan Walter1, Andreas Nunnenkamp1, Christoph Bruder1

  • 1Department of Physics, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland.

Physical Review Letters
|March 25, 2014
PubMed
Summary
This summary is machine-generated.

We studied quantum synchronization in a simple oscillator. Unlike classical systems, quantum synchronization requires a minimum driving strength and is affected by quantum noise.

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Area of Science:

  • Quantum mechanics
  • Nonlinear dynamics
  • Synchronization phenomena

Background:

  • Synchronization is a widespread phenomenon observed in both fundamental science and technological applications.
  • Understanding synchronization in quantum systems is crucial for advancing quantum technologies.

Purpose of the Study:

  • To investigate quantum synchronization in the simplest possible quantum-mechanical system.
  • To analyze frequency entrainment and locking in a quantum-mechanical self-sustained oscillator driven by an external harmonic force.

Main Methods:

  • Analysis of a quantum-mechanical self-sustained oscillator coupled to an external harmonic drive.
  • Utilizing power spectrum analysis to study frequency entrainment and locking.
  • Comparison with classical synchronization phenomena.

Main Results:

  • Observed a steplike crossover to a synchronized state dependent on driving strength.
  • Identified a finite threshold value for driving, distinct from classical systems.
  • Demonstrated that quantum noise reduces the synchronization region and causes deviations from strict frequency locking.

Conclusions:

  • The simplest quantum oscillator exhibits synchronization analogous to classical systems but with unique quantum features.
  • A finite driving threshold is necessary for quantum synchronization.
  • Quantum noise plays a significant role in limiting the extent and precision of quantum synchronization.