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Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Multiple frequencies of synchronization in classical and quantum networks
Skye M Platten1, M A Lohe, Peter J Moran
1Centre for Complex Systems and Structure of Matter, Department of Physics, University of Adelaide, South Australia 5005, Australia.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 21, 2011
Summary
Complex quantum systems can synchronize to multiple frequencies. Symmetry-breaking interactions in networked quantum systems enable synchronization to specific frequencies, even with zero-frequency modes present.
Area of Science:
- Quantum physics
- Complex systems theory
- Network science
Background:
- Complex systems with oscillators can synchronize, exhibiting multiple synchronization frequencies determined by distinct eigenvalues of a frequency matrix.
- In quantum networked systems, synchronization involves a linear combination of states across different energy levels.
- Network interactions can break symmetries, influencing which synchronization frequencies manifest.
Purpose of the Study:
- To investigate synchronization phenomena in complex quantum networked systems.
- To explore how symmetry-breaking interactions affect synchronization frequencies.
- To analyze a specific model of interacting quantum angular momentum states on a 2-sphere.
Main Methods:
- Analysis of complex systems with vector or matrix oscillators.
- Modeling of quantum networked systems with interacting spin-1 quantum angular momentum states.
- Investigation of synchronization in three-dimensional systems with trajectories confined to the 2-sphere.
Main Results:
- Synchronization to a common state with a frequency matrix possessing distinct eigenvalues was observed.
- In quantum systems, the synchronized state is a superposition of energy level states.
- Symmetry-breaking network interactions were shown to permit specific synchronization frequencies, excluding others.
- A model of interacting spin-1 quantum angular momentum states demonstrated synchronization to a nontrivial frequency, coexisting with zero-frequency modes.
Conclusions:
- Complex quantum systems exhibit rich synchronization dynamics.
- Symmetry-breaking interactions are crucial for controlling observable synchronization frequencies in quantum networks.
- The model of interacting spin-1 states provides a concrete example of nontrivial synchronization in a constrained quantum system.
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