Dynamics of dissipative topological defects in coupled phase oscillators

Simon Mahler, Vishwa Pal, Chene Tradonsky, Ronen Chriki, Asher A. Friesem, Nir Davidson

Research output: Contribution to journalArticlepeer-review


The dynamics of topological defects in a system of coupled phase oscillators, arranged in one and two-dimensional arrays, was numerically investigated using the Kuramoto model. After a rapid decay of the number of topological defects, a long-time 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 rho similar to C-nu with nu = 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.

Original languageEnglish
Article number205401
Number of pages10
JournalJournal of Physics B: Atomic, Molecular and Optical Physics
Issue number20
Early online date30 Sep 2019
StatePublished - 28 Oct 2019


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