Emergent behaviors of quantum Lohe oscillators with all-to-all coupling

DOI10.1007/s00332-015-9255-8zbMath1345.81026OpenAlexW2158587515MaRDI QIDQ897159

Seung-Yeal Ha, Sun-Ho Choi

Publication date: 17 December 2015

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-015-9255-8

zbMATH Keywords

qubitcomplete synchronizationKuramoto oscillatorsLohe quantum oscillators

Mathematics Subject Classification ID

Quantum computation (81P68) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Synchronization of solutions to ordinary differential equations (34D06) Quantum coding (general) (81P70) Synchronization error-correcting codes (94B50)

Related Items (14)

On the double sphere model of synchronization ⋮ On the emergence and orbital stability of phase-locked states for the Lohe model ⋮ Emergent dynamics of a generalized Lohe model on some class of Lie groups ⋮ Higher-dimensional generalizations of the Watanabe–Strogatz transform for vector models of synchronization ⋮ Improved numerical scheme for the generalized Kuramoto model ⋮ From the Lohe Tensor Model to the Lohe Hermitian Sphere Model and Emergent Dynamics ⋮ Emergent behaviors of Lohe tensor flocks ⋮ Stochastic Lohe matrix model on the Lie group and mean-field limit ⋮ On the relaxation dynamics of Lohe oscillators on some Riemannian manifolds ⋮ Emergent behaviors of the generalized Lohe matrix model ⋮ Systems of matrix Riccati equations, linear fractional transformations, partial integrability and synchronization ⋮ Solitons in complex systems of chiral fields with Kuramoto interactions ⋮ Exponential asymptotic stability of the Kuramoto system with periodic natural frequencies and constant inertia ⋮ Constants of motion for the finite-dimensional Lohe type models with frustration and applications to emergent dynamics

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