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Topological dynamics of vortex-line networks in hexagonal manganites

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0 Published in 2018 at "Physical Review B"

DOI: 10.1103/physrevb.97.020101

Abstract: The two-dimensional $XY$ model is the first well-studied system with topological point defects. On the other hand, although topological line defects are common in three-dimensional systems, the evolution mechanism of line defects is not fully… read more here.

Keywords: line networks; line; hexagonal manganites; topological dynamics ... See more keywords

Topological dynamics of gyroscopic and Floquet lattices from Newton's laws

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0 Published in 2017 at "Physical Review B"

DOI: 10.1103/physrevb.97.085110

Abstract: Despite intense interest in realizing topological phases across a variety of electronic, photonic and mechanical platforms, the detailed microscopic origin of topological behavior often remains elusive. To bridge this conceptual gap, we show how hallmarks… read more here.

Keywords: newton laws; dynamics gyroscopic; gyroscopic floquet; topological dynamics ... See more keywords

Simulation of Interaction-Induced Chiral Topological Dynamics on a Digital Quantum Computer.

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1 Published in 2022 at "Physical review letters"

DOI: 10.1103/physrevlett.129.140502

Abstract: Chiral edge states are highly sought after as paradigmatic topological states relevant to both quantum information processing and dissipationless electron transport. Using superconducting transmon-based quantum computers, we demonstrate chiral topological propagation that is induced by… read more here.

Keywords: topological dynamics; quantum; simulation interaction; interaction induced ... See more keywords

On the Topological Dynamics of Dynamical Manifolds and Their Fundamental Group

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0 Published in 2021 at "Journal of Mathematics"

DOI: 10.1155/2021/5697831

Abstract: The paper aims to deduce the relation between the category of topology and algebra from viewpoint of geometry and dynamical system. We introduce and define a dynamical manifold as a manifold associated with a time… read more here.

Keywords: fundamental group; dynamical manifolds; dynamics dynamical; manifolds fundamental ... See more keywords

What is topological about topological dynamics

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0 Published in 2018 at "Discrete and Continuous Dynamical Systems"

DOI: 10.3934/dcds.2018043

Abstract: We consider various notions from the theory of dynamical systems from a topological point of view. Many of these notions can be sensibly defined either in terms of (finite) open covers or uniformities. These Hausdorff… read more here.

Keywords: chain; topological dynamics; transitivity; topological topological ... See more keywords