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Genuine Quantum Signatures in Synchronization of Anharmonic Self-Oscillators.
Niels Lörch1, Ehud Amitai1, Andreas Nunnenkamp2
1Department of Physics, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland.
Physical Review Letters
|August 27, 2016
Summary
We explore quantum oscillator synchronization, revealing unique multiple resonances due to discrete energy levels. These quantum effects, unlike classical ones, lead to nonclassical states observable with current technology.
Area of Science:
- Quantum physics
- Nonlinear dynamics
- Quantum optics
Background:
- The Van der Pol oscillator is a fundamental model for self-sustained oscillations.
- Kerr nonlinearity introduces anharmonicity, altering oscillator behavior.
- Synchronization phenomena are crucial in understanding coupled dynamical systems.
Purpose of the Study:
- To investigate the synchronization of a quantum Van der Pol oscillator with Kerr anharmonicity.
- To identify and characterize quantum effects in oscillator synchronization.
- To explore the potential for experimental realization of these quantum phenomena.
Main Methods:
- Theoretical modeling of a quantum Van der Pol oscillator with Kerr anharmonicity.
- Analysis of phase locking and frequency entrainment under external driving.
- Characterization of steady-state Wigner distributions.
Main Results:
- The quantum oscillator exhibits multiple resonances in phase locking and frequency entrainment, absent in classical systems.
- Strong driving near these resonances induces nonclassical steady-state Wigner distributions.
- The discrete energy spectrum of the quantum oscillator is responsible for these unique resonant behaviors.
Conclusions:
- Anharmonic quantum oscillators display distinct synchronization properties compared to their classical counterparts.
- Nonclassical steady-state Wigner distributions are a signature of quantum synchronization effects.
- These quantum phenomena are experimentally accessible with current technological capabilities.
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