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Updated: Sep 10, 2025
06:42
Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
9.1K
Quantum Synchronization of Twin Limit-Cycle Oscillators.
Tobias Kehrer1, Christoph Bruder1, Parvinder Solanki2
1University of Basel, Department of Physics, Klingelbergstrasse 82, CH-4056 Basel, Switzerland.
Physical Review Letters
|August 27, 2025
Summary
We introduce a quantum Liénard system demonstrating quantum synchronization with two coexisting limit cycles. Coupling these oscillators reveals simultaneous synchronization and a novel synchronization blockade phenomenon.
Area of Science:
- Quantum physics
- Nonlinear dynamics
- Quantum optics
Background:
- Quantum synchronization is a rapidly developing research area.
- Classical Liénard systems exhibit limit cycles, guiding system behavior.
- Understanding quantum counterparts is crucial for quantum technologies.
Purpose of the Study:
- To propose and analyze a quantum Liénard system.
- To investigate the behavior of limit cycles in the quantum regime.
- To explore synchronization phenomena in coupled quantum oscillators.
Main Methods:
- Development of a quantum Liénard system model.
- Analysis of quantum states and phase localization.
- Introduction of refined measures for quantum synchronization.
Main Results:
- Demonstration of coexisting quantum limit cycles in a single steady state.
- Observation of distinct phase localization for each quantum limit cycle when driven.
- Discovery of simultaneous synchronization and synchronization blockade in coupled systems.
Conclusions:
- The quantum Liénard system offers a unique platform for studying quantum dynamics.
- The coexistence of limit cycles and distinct phase assignments challenge classical intuition.
- The observed synchronization blockade necessitates new theoretical frameworks for quantum synchronization.
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