Controlling synchronization in large laser networks using number theory
arXiv:1112.4158 · doi:10.1103/PhysRevLett.108.214101
Abstract
Synchronization in networks with delayed coupling are ubiquitous in nature and play a key role in almost all fields of science including physics, biology, ecology, climatology and sociology. In general, the published works on network synchronization are based on data analysis and simulations, with little experimental verification. Here we develop and experimentally demonstrate various multi-cluster phase synchronization scenarios within coupled laser networks. Synchronization is controlled by the network connectivity in accordance to number theory, whereby the number of synchronized clusters equals the greatest common divisor of network loops. This dependence enables remote switching mechanisms to control the optical phase coherence among distant lasers by local network connectivity adjustments. Our results serve as a benchmark for a broad range of coupled oscillators in science and technology, and offer feasible routes to achieve multi-user secure protocols in communication networks and parallel distribution of versatile complex combinatorial tasks in optical computers.
13 pages, 4 figure and supplementary information
References in corpus (4)
Cited by in corpus (28)
- Synchronization of coupled optical microresonators
- Control of synchronization patterns in neural-like Boolean networks
- Dissipative Topological Defects in Coupled Laser Networks
- Topological Control of Synchronization Patterns: Trading Symmetry for Stability
- Rapid Phase Retrieval by Lasing
- Mitigation of dynamical instabilities in laser arrays via non-Hermitian coupling
- Synchronization of non-solitonic Kerr combs
- Observation of Arnold Tongues in Coupled Soliton Kerr Frequency Combs
- Experiments on autonomous Boolean networks
- Stochastic switching in delay-coupled oscillators
- Reduction of Interaction Delays in Networks
- Multi-clustered chimeras in large semiconductor laser arrays with nonlocal interactions
- Sensitive Dependence of Optimal Network Dynamics on Network Structure
- Synchronization with mismatched synaptic delays: A unique role of elastic neuronal latency
- Effective low-dimensional dynamics of a mean-field coupled network of slow-fast spiking lasers
- Chimera states in systems of nonlocal nonidentical phase-coupled oscillators
- Injection locking and coupling the emitters of large VCSEL arrays via diffraction in an external cavity
- Synchronization of fluctuating delay-coupled chaotic networks
- Chaos synchronization by resonance of multiple delay times
- The optical control of phase locking of polariton condensates
- Time delayed laser networks: phase versus chaos synchronization
- Sudden synchrony leaps accompanied by frequency multiplications in neuronal activity
- Conflict-free joint decision by lag and zero-lag synchronization in laser network
- Coherent chirped pulse laser network in Mickelson phase conjugating configuration
- Switching Synchronization in One-Dimensional Memristive Networks
- Ultrafast photonic reinforcement learning based on laser chaos
- Understanding the enhanced synchronization of delay-coupled networks with fluctuating topology
- Transient to Zero-Lag Synchronization in Excitable Networks