期刊
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS
卷 52, 期 20, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1361-6455/ab3d00
关键词
coupled lasers (oscillators); topological defects; phase locking; phase transition
资金
- Israel Science Foundation
- Israel-US Binational Science foundation
- ISIRD grant by IIT Ropar
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.
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