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By analogy with the formation of space crystals, crystalline structures can also appear in the time domain. While in the case of space crystals we often ask about periodic arrangements of atoms in space at a moment of a detection, in time…

Quantum Gases · Physics 2019-05-31 K. Giergiel , A. Dauphin , M. Lewenstein , J. Zakrzewski , K. Sacha

Phonons are ubiquitous quasiparticles in solid state systems describing the quantized vibrations of a crystal lattice. Phonons play a central role in a wide range of physical phenomena, from transport to symmetry-breaking orders, such as…

Materials Science · Physics 2025-12-04 Tiantian Zhang , Yizhou Liu , Hu Miao , Shuichi Murakami

Topological insulators, first observed in electronic systems, have inspired many analogues in photonic and phononic crystals in which remarkable one-way propagation edge states are supported by topologically nontrivial bandgaps. Such…

Mesoscale and Nanoscale Physics · Physics 2016-06-01 Ze-Guo Chen , Ying Wu

Recent developments in photonic topological phases have revealed that protected edge modes can emerge not only from global topological invariants, but also from symmetry-enforced polarization mismatches between distinct bulk phases. In this…

Optics · Physics 2025-07-14 Ondřej Novák , Martin Veis , Gervasi Herranz

A time interface (a rapid change of the constitutive parameters of a material in time), applied within an unbounded medium where a wave travels, can enable frequency conversion, and is considered the temporal analogue of a spatial interface…

Optics · Physics 2025-09-24 Victor Pacheco-Peña , Mathias Fink , Nader Engheta

Photonic structures with topologically nontrivial bands are usually designed by arranging simple meta-atoms, ideally, single-mode ones, in a carefully designed photonic lattice with symmetry that guarantees the emergence of topological…

Optics · Physics 2020-10-21 Roman S. Savelev , Maxim A. Gorlach

Photonic time crystals are artificial materials whose electromagnetic properties are uniform in space but periodically vary in time. The synthesis of such materials and experimental observation of their physics remain very challenging due…

The terms of topological and quantum stabilities of low-dimensional crystalline carbon lattices with multiple non-equivalent sublattices are coined using theoretical analysis, multilevel simulations, and available experimental structural…

Mesoscale and Nanoscale Physics · Physics 2022-12-08 Pavel V. Avramov , Artem V. Kuklin

Topological interface states are currently attracting rapidly growing attention in classical wave systems. However, little work has been done on topological interface states in one-dimensional (1D) elastic wave systems, especially in the…

Applied Physics · Physics 2024-09-20 Pan Li , Wenping Hu , Pai Peng , Xuefeng Zhu , Degang Zhao

Crystal phase engineering gives access to new types of superlattices where, rather than different materials, different crystal phases of the same material are juxtaposed. Here, by means of atomistic nonequilibrium molecular dynamics…

Mesoscale and Nanoscale Physics · Physics 2022-01-14 Kim López-Güell , Nicolas Forrer , Xavier Cartoixà , Ilaria Zardo , Riccardo Rurali

Time-variant systems have recently garnered considerable attention due to their unique potentials in manipulating electromagnetic waves. Here, a novel class of topological spacetime crystals is introduced, with a traveling-wave modulation…

Optics · Physics 2025-09-24 João C. Serra , Mário G. Silveirinha

While energy band topology in spatial photonic crystals (PCs) and momentum-band topology in temporal crystals have each served as powerful probes of topological phases in their respective domains, their unification in a static platform…

Optics · Physics 2026-02-06 Zimeng Zeng , Zhuoyang Li , Jiayao Liu , Zelong He , Zhaona Wang

We experimentally demonstrate the formation and stable propagation of various types of discrete temporal solitons in an optical fiber system. Pulses interacting with a time-periodic potential and defocusing nonlinearity are shown to form…

Pattern Formation and Solitons · Physics 2012-08-31 Christoph Bersch , Georgy Onishchukov , Ulf Peschel

We study linear transmission and nonlinear soliton transport through quasi-periodic structures, which profiles are described by multiple modulation frequencies. We show that resonant scattering at mixed-frequency resonances limits…

Pattern Formation and Solitons · Physics 2007-05-23 Andrey A. Sukhorukov

Topological boundary and interface modes are generated in an acoustic waveguide by simple quasi-periodic patternings of the walls. The procedure opens many topological gaps in the resonant spectrum and qualitative as well as quantitative…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 David J. Apigo , Wenting Cheng , Kyle F. Dobiszewski , Emil Prodan , Camelia Prodan

Time reversal (T) invariant topological insulator is widely recognized as one of the fundamental discoveries in condensed matter physics, for which the most fascinating hallmark is perhaps a spin based topological protection, the total…

Mesoscale and Nanoscale Physics · Physics 2017-01-17 Xue-Feng Zhu , Yu-Gui Peng , Xiang-Yuan Yu , Han Jia , Ming Bao , Ya-Xi Shen , De-Gang Zhao

This study investigates the occurrence of acoustic topological edge states in a 2D phononic elastic waveguide due to a phenomenon that is the acoustic analogue of the quantum valley Hall effect. We show that a topological transition takes…

Mesoscale and Nanoscale Physics · Physics 2018-01-10 Ting-Wei Liu , Fabio Semperlotti

Galvanised by the emergent fields of metamaterials and topological wave physics, there is currently much interest in controlling wave propagation along structured arrays, and interfacial waves between geometrically different crystal…

Classical Physics · Physics 2018-12-19 G. J. Chaplain , M. P. Makwana , R. V. Craster

We report the observation of a symmetry-protected topological time crystal, which is implemented with an array of programmable superconducting qubits. Unlike the time crystals reported in previous experiments, where spontaneous breaking of…

Topological magnon modes are expected to be useful for novel applications such as robust information propagation, since they are immune to backscattering and robust against disorder. Although there are several of theoretical proposals for…

Mesoscale and Nanoscale Physics · Physics 2021-12-23 Hong Huang , Toshikaze Kariyado , Xiao Hu