A model of synchronization over quantum networks

DOI10.1088/1751-8121/aa79c9zbMath1371.81129arXiv1702.00041OpenAlexW2587273980WikidataQ58619703 ScholiaQ58619703MaRDI QIDQ5357465

Paolo Antonelli, Pierangelo Marcati

Publication date: 8 September 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.00041

zbMATH Keywords

emergencequantum networkquantum synchronizationSchrödinger-Lohe model

Mathematics Subject Classification ID

Quantum chaos (81Q50) Many-body theory; quantum Hall effect (81V70) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Synchronization of solutions to ordinary differential equations (34D06) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (14)

Stochastic Schrödinger-Lohe model ⋮ Global well-posedness for the non-linear Maxwell-Schrödinger system ⋮ Asymptotic behavior and stability for the Schrödinger-Lohe model ⋮ Emergent behaviors of the Schrödinger-Lohe model on cooperative-competitive networks ⋮ The Wigner-Lohe model for quantum synchronization and its emergent dynamics ⋮ Two-point correlation function and its applications to the Schrödinger-Lohe type models ⋮ Schrödinger-Lohe type models of quantum synchronization with nonidentical oscillators ⋮ Collective synchronization of the multi-component Gross-Pitaevskii-Lohe system ⋮ Complete aggregation of the Lohe tensor model with the same free flow ⋮ Low-dimensional dynamics in non-Abelian Kuramoto model on the 3-sphere ⋮ Remarks on the Schrödinger-Lohe model ⋮ Systems of matrix Riccati equations, linear fractional transformations, partial integrability and synchronization ⋮ Emergence of synchronous behaviors for the Schrödinger–Lohe model with frustration ⋮ Solitons in complex systems of chiral fields with Kuramoto interactions

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• Some results on systems for quantum fluids
• Non-Abelian Kuramoto models and synchronization

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