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Corpus ID: 246276089

Topological Molecules and Topological Localization of a Rydberg Electron on a Classical Orbit

@inproceedings{Kopaei2022TopologicalMA,
title={Topological Molecules and Topological Localization of a Rydberg Electron on a Classical Orbit},
author={Ali Emami Kopaei and Xuedong Tian and Krzysztof Giergiel and Krzysztof Sacha},
year={2022}
}

It is common knowledge that atoms can form molecules if they attract each other. Here, we show that it is possible to create molecules where bound states of the atoms are not the result of attractive interactions but have the topological origin. That is, the bound states of the atoms correspond to the topologically protected edge states of a topological model. Such topological molecules can be realized if the interaction strength between ultra-cold atoms is properly modulated in time. A similar… Expand

This book treats nonlinear dynamics in both Hamiltonian and dissipative systems. The emphasis is on the mechanics for generating chaotic motion, methods of calculating the transitions from regular to… Expand

It is still unknown whether there are families of tight knots whose lengths grow faster than linearly with crossing numbers, but the largest power has been reduced to 3/z, and some other physical models of knots as flattened ropes or strips which exhibit similar length versus complexity power laws are surveyed.Expand

Two experiments conducted to replicate the reported findings that infants demonstrate a right ear advantage in the perception of dichotically presented syllables were described, with no significant differences in the recovery scores between ears.Expand

The purpose of this text is to survey recent advances in the development of software tools for scientific computing. It emphasizes the design of large software codes, computational efficiency,… Expand