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The spectral dimension is an indicator of geometry and topology of spacetime and a tool to compare the description of quantum geometry in various approaches to quantum gravity. This is possible because it can be defined not only on smooth…

High Energy Physics - Theory · Physics 2014-06-19 Gianluca Calcagni , Daniele Oriti , Johannes Thürigen

Topological photonics provides a novel platform to explore topological physics beyond traditional electronic materials and stimulates promising applications in topologically protected light transport and lasers. Classical degrees of freedom…

We build Floquet-driven capactive circuit networks to realize topological states of matter in the frequency domain. We find the Floquet circuit network equations of motion to reveal a potential barrier which effectively acts as a boundary…

Bulk-boundary correspondence is the foundational principle of topological physics, first established in the quantum Hall effect, where a $D$-dimensional topologically nontrivial bulk gives rise to $(D-1)$-dimensional boundary states. The…

Mesoscale and Nanoscale Physics · Physics 2025-09-29 Hau Tian Teo , Yang Long , Hong-yu Zou , Kailin Song , Haoran Xue , Yong Ge , Shou-qi Yuan , Hong-xiang Sun , Baile Zhang

Topological photonics aims to utilize topological photonic bands and corresponding edge modes to implement robust light manipulation, which can be readily achieved in the linear regime of light-matter interaction. Importantly, unlike solid…

Optics · Physics 2020-04-22 Zhihao Lan , Jian Wei You , Nicolae C. Panoiu

Synthetic turbulence is a relevant tool to study complex astrophysical and space plasma environments inaccessible by direct simulation. However, conventional models lack intermittent coherent structures, which are essential in realistic…

Space Physics · Physics 2024-05-08 Jeremiah Lübke , Frederic Effenberger , Mike Wilbert , Horst Fichtner , Rainer Grauer

Exploring the synergy between topological physics and nonlinear dynamics unveils profound insights into emergent states of matter. Inspired by recent experimental demonstrations of topological frequency combs in photonics, we theoretically…

Mesoscale and Nanoscale Physics · Physics 2025-09-01 Zhixiong Li , Xuejuan Liu , Zhejunyu Jin , Guanghua Guo , Xingen Zheng , Peng Yan

Several hybrid tomographic methods utilizing ultrasound modulation have been introduced lately. Success of these methods hinges on the feasibility of focusing ultrasound waves at an arbitrary point of interest. Such a focusing, however, is…

Analysis of PDEs · Mathematics 2010-10-11 Peter Kuchment , Leonid Kunyansky

In this paper, we propose a new type of bulk-boundary correspondence as a generic approach to theoretically and experimentally detect fragile topological states. When the fragile phase can be written as a difference of a trivial atomic…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Zhi-Da Song , Luis Elcoro , B. Andrei Bernevig

Frequency multiplication involves generating harmonics from an input frequency, a technique particularly useful for integrating spin-wave devices operating at different frequencies. While topological magnetic textures offer distinct…

Mesoscale and Nanoscale Physics · Physics 2024-12-19 Cheng-Jie Wang , Yuxin Li , Zhe Ding , Pengfei Wang , Fazhan Shi , Jiangfeng Du

Activating transitions between internal states of physical systems has emerged as an appealing approach to create lattices and complex networks. In such a scheme, the internal states or modes of a physical system are regarded as lattice…

Quantum Physics · Physics 2021-06-08 Konrad Tschernig , Roberto de J. León-Montiel , Armando Perez-Leija , Kurt Busch

Optical control and manipulation of cold atoms has become an important topic in condensed matter. Widely employed are optical lattice shaking experiments which allow the introduction of artificial gauge fields, the design of topological…

Harnessing the frequency dimension in integrated photonics offers key advantages in terms of scalability, noise resilience, parallelization and compatibility with telecom multiplexing techniques. Integrated ring resonators have been used to…

Atomically engineered artificial lattices are a useful tool for simulating complex quantum phenomena, but have so far been limited to the study of Hamiltonians where electron-electron interactions do not play a role -- but it's precisely…

Mesoscale and Nanoscale Physics · Physics 2022-04-25 Rasa Rejali , Laëtitia Farinacci , David Coffey , Rik Broekhoven , Jeremie Gobeil , Yaroslav M. Blanter , Sander Otte

Quasi-periodically driven quantum systems are predicted to exhibit quantized topological properties, in analogy with the quantized transport properties of topological insulators. We use a single nitrogen-vacancy center in diamond to…

Mesoscale and Nanoscale Physics · Physics 2020-10-21 Eric Boyers , Philip J. D. Crowley , Anushya Chandran , Alexander O. Sushkov

Synthetic photonic lattice with temporally controlled potentials is a versatile platform for realizing wave dynamics associated with physical areas of optics and quantum physics. Here, discrete optics in one-dimensionally synthetic photonic…

Optics · Physics 2020-10-28 Zengrun Wen , Kaile Wang , Baole Lu , Xinyuan Qi , Haowei Chen , Jintao Bai

In physics, synthetic dimensions trigger great interest to manipulate light in different ways, while in technology, lithium niobate shows important capability towards on-chip applications. Here, based on the state-of-art technology, we…

Bestriding the realms of classical and quantum mechanics, nanomechanical structures offer great promise for a huge variety of applications, from computer memory elements \cite{badzey04} and ultra-fast sensors to quantum computing.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 R. L. Badzey , G. Zolfagharkhani , S. -B. Shim , A. Gaidarzhy , P. Mohanty

Topological states of light represent counterintuitive optical modes localized at boundaries of finite-size optical structures that originate from the properties of the bulk. Being defined by bulk properties, such boundary states are…

Topological states of light represent counterintuitive optical modes localized at boundaries of finite-size optical structures that originate from the properties of the bulk. Being defined by bulk properties, such boundary states are…