Results 11 to 20 of about 291,864 (276)

Topological optical parametric oscillation

Nanophotonics, 2022
Topological insulators possess protected boundary states which are robust against disorders and have immense implications in both fermionic and bosonic systems.
Roy Arkadev, Parto Midya, Nehra Rajveer, Leefmans Christian, Marandi Alireza   +4 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
doaj   +1 more source

Topological resonances in a Möbius ring resonator

Communications Physics, 2023
A Möbius strip, fascinating for its unique topological property of being a one-side nonorientable surface, has inspired mathematicians, physicists, engineers, and artists for many centuries.
Yao Chen, Jiankun Hou, Guolin Zhao, Xianfeng Chen, Wenjie Wan   +4 more
doaj   +1 more source

Tunable Dirac Fermion Dynamics in Topological Insulators [PDF]

, 2013
Three-dimensional topological insulators are characterized by insulating bulk state and metallic surface state involving Dirac fermions that behave as massless relativistic particles.
Chen, Chaoyu, Chen, Chuangtian, Dong, Xiaoli, Feng, Ya, He, Junfeng, He, Shaolong, Liang, Aiji, Liu, Guodong, Liu, Xu, Liu, Yan, Mou, Daixiang, Peng, Qinjun, Peng, Yingying, Wang, Xiaoyang, Wang, Zhimin, Xie, Zhuojin, Xu, Zuyan, Yang, Feng, Yi, Hemian, Yu, Li, Zhang, Jun, Zhang, Shenjin, Zhao, Lin, Zhou, X. J.   +23 more
core   +2 more sources

Quantum Dynamical Characterization and Simulation of Topological Phases With High-Order Band Inversion Surfaces

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, Wentao Ji, Lin Zhang, Ya Wang, Jiansheng Wu, Xiong-Jun Liu   +5 more
doaj   +1 more source

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, Cardano, Filippo, D'Errico, Alessio, Dauphin, Alexandre, Esposito, Chiara, Lewenstein, Maciej, Maffei, Maria, Marrucci, Lorenzo, Massignan, Pietro, Piccirillo, Bruno   +9 more
core   +2 more sources

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, Michael Schüler, Thomas P. Devereaux   +2 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 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
doaj   +1 more source

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, Marta Gonçalves, Deok-Ho Kim, Byung Mook Weon   +3 more
doaj   +1 more source