Results 11 to 20 of about 289,272 (278)
Two-dimensional topological quantum walks in the momentum space of structured light [PDF]
, 2020 Quantum walks are powerful tools for quantum applications and for designing topological systems. Although they are simulated in a variety of platforms, genuine two-dimensional realizations are still challenging.
Barboza, Raouf +9 more
core +2 more sources
PRX Quantum, 2021 How to characterize topological quantum phases is a fundamental issue in the broad field of topological matter. From a dimension reduction approach, we propose the concept of high-order band inversion surfaces (BISs), which enable the optimal schemes to ...
Xiang-Long Yu +5 more
doaj +1 more source
Category Theory for Autonomous and Networked Dynamical Systems
Entropy, 2019 In this discussion paper we argue that category theory may play a useful role in formulating, and perhaps proving, results in ergodic theory, topogical dynamics and open systems theory (control theory). As examples, we show how to characterize Kolmogorov&
Jean-Charles Delvenne
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Dynamical signatures of symmetry protected topology following symmetry breaking
Physical Review Research, 2021 We investigate topological signatures in the short-time nonequilibrium dynamics of symmetry protected topological (SPT) systems starting from initial states which break a protecting symmetry.
Jacob A. Marks +2 more
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Topological heterogeneity and evaporation dynamics of irregular water droplets
Scientific Reports, 2021 Water droplets sitting between wires are ubiquitous in nature and industry, often showing irregular (non-spherical) droplet shapes. To understand their topological singularity and evaporation mechanism, measuring volume changes of irregular water ...
Yeseul Kim +3 more
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DEFINABLE TOPOLOGICAL DYNAMICS [PDF]
The Journal of Symbolic Logic, 2017 AbstractFor a groupGdefinable in a first order structureMwe develop basic topological dynamics in the category of definableG-flows. In particular, we give a description of the universal definableG-ambit and of the semigroup operation on it. We find a natural epimorphism from the Ellis group of this flow to the definable Bohr compactification ofG, that ...
openaire +3 more sources
Topological Blocking in Quantum Quench Dynamics [PDF]
, 2014 We study the non-equilibrium dynamics of quenching through a quantum critical point in topological systems, focusing on one of their defining features: ground state degeneracies and associated topological sectors.
Kells, G. +3 more
core +3 more sources
Topological dynamics on hyperspaces
Applied General Topology, 2010 In this paper we wish to relate the dynamics of the base map to the dynamics of the induced map. In the process, we obtain conditions on the endowed hyperspace topology under which the chaotic behaviour of the map on the base space is inherited by the ...
Puneet Sharma, Anima Nagar
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Topological origin of quantized transport in non-Hermitian Floquet chains
Physical Review Research, 2020 We show that non-Hermiticity enables topological phases with unidirectional transport in one-dimensional Floquet chains. The topological signatures of these phases are noncontractible loops in the spectrum of the Floquet propagator that are separated by ...
Bastian Höckendorf +2 more
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Unified characterization for higher-order topological phase transitions
Physical Review Research, 2023 Higher-order topological phase transitions (HOTPTs) are associated with closing either the bulk energy gap (type-I) or boundary energy gap (type-II) without changing symmetry, and conventionally, both transitions are captured in real space and ...
Wei Jia +4 more
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