Dynamics of dissipative topological defects in coupled phase oscillators
Abstract
The dynamics of topological defects in a system of coupled phase oscillators, arranged in one and twodimensional arrays, was numerically investigated using the Kuramoto model. After a rapid decay of the number of topological defects, a longtime quasi steady state with few topological defects was detected. Two competing time scales governed the dynamics corresponding to the dissipation rate and the coupling quench rate. The density of topological defects scales as a power law function of the coupling quench rate ρ ∼ C^{ν} with ν = 0.25. Reducing the number of topological defects improves the long time coherence and order parameter of the system, enhancing the probability to reach a global minimal loss state that can be mapped to the ground state of a classical XY spin Hamiltonian.
 Publication:

Journal of Physics B Atomic Molecular Physics
 Pub Date:
 October 2019
 DOI:
 10.1088/13616455/ab3d00
 arXiv:
 arXiv:1903.05473
 Bibcode:
 2019JPhB...52t5401M
 Keywords:

 coupled lasers (oscillators);
 topological defects;
 phase locking;
 phase transition;
 Physics  Optics;
 Condensed Matter  Statistical Mechanics
 EPrint:
 doi:10.1088/13616455/ab3d00