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Related papers: Exploring Aperiodic Order in Photonic Time Crystal…

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Spatial aperiodicity occurs in various models and material s. Although today the most well-known examples occur in the area of quasicrystals, other applications might also be of interest. Here we discuss some issues related to the notion…

Mathematical Physics · Physics 2023-07-19 Aernout C. D. van Enter

Topological phase transitions, characterized by the closing and reopening of band gaps and a concomitant change in topological invariants, have played a central role in topological physics. However, such transitions have so far been…

Optics · Physics 2025-12-19 Zebin Zhu , Bolun Huang , Siqi Xu , Jingming Chen , Yan Meng , Zhenxiao Zhu , Xiang Xi , Zhen Gao

We show that hyperbolic electromagnetic metamaterials implemented as multilayers based on two material constituents arranged according to Thue-Morse (ThM) aperiodic sequence may exhibit strong nonlocal effects, manifested as the appearance…

Optics · Physics 2015-06-12 Silvio Savoia , Giuseppe Castaldi , Vincenzo Galdi

Quasicrystals possess long-range order but lack the translational symmetry of crystalline solids. In solid state physics, periodicity is one of the fundamental properties that prescribes the electronic band structure in crystals. In the…

Mesoscale and Nanoscale Physics · Physics 2017-07-21 Laura C. Collins , Thomas G. Witte , Rochelle Silverman , David B. Green , Kenjiro K. Gomes

Exotic forms of wave control have been emerging by engineering matter in space and time. In this framework, temporal photonic interfaces, i.e., abrupt changes in the electromagnetic properties of a material, have been shown to induce…

We report on the experimental investigation of the transmission spectra for acoustic waves through temporal phononic crystals (TPCs), which are designed structures with periodically time-varying density and bulk modulus. In our experiment,…

Materials Science · Physics 2013-05-08 Xujun Dong , Yangtao Ye , Bing Wang , Chunyin Qiu , Manzhu Ke , Zhengyou Liu

Periodicity is usually assumed to be the necessary and sufficient condition for the formation of band gaps, i.e., energy bands with a suppressed density of states. Here, we check this premise by analyzing the band gap properties of three…

Topological edge states in systems of two (or more) dimensions offer scattering-free transport, exhibiting robustness to inhomogeneities and disorder. In a different domain, time-modulated systems, such as photonic time crystals (PTCs),…

Photonic Time Crystals (PTCs) provide a completely new platform exhibiting light wave amplification owing to periodically varying electromagnetic properties. The need to control this amplification is becoming increasingly important,…

Optics · Physics 2023-04-20 Snehashis Sadhukhan , Somnath Ghosh

Crystals form regular and robust structures that under extreme conditions can melt and recrystallize into different arrangements in a process that is called crystal metamorphism. While crystals exist due to the breaking of a continuous…

Quantum Physics · Physics 2021-01-04 Victor M. Bastidas , Marta P. Estarellas , Tomo Osada , Kae Nemoto , William J. Munro

Many astrophysical phenomena are time-varying, in the sense that their brightness change over time. In the case of periodic stars, previous approaches assumed that changes in period, amplitude, and phase are well described by either…

Methodology · Statistics 2022-02-02 Giovanni Motta , Darlin Soto , Márcio Catelan

Photonic crystals (PhCs) have emerged as a popular platform for realizing various topological phases due to their flexibility and potential for device applications. In this article, we present a comprehensive classification of topological…

Mesoscale and Nanoscale Physics · Physics 2023-08-22 Sachin Vaidya , Ali Ghorashi , Thomas Christensen , Mikael C. Rechtsman , Wladimir A. Benalcazar

While a generic open quantum system decays to its steady state, continuous time crystals (CTCs) develop spontaneous oscillation and never converge to a stationary state. Just as crystals develop correlations in space, CTCs do so in time.…

Quantum Physics · Physics 2025-10-23 Parvinder Solanki , Fabrizio Minganti

We study the percolation of a quantum particle on quasicrystal lattices and compare it with the square lattice. For our study, we have considered quasicrystal lattices modelled on the pentagonally symmetric Penrose tiling and the…

Quantum Physics · Physics 2020-01-31 Prateek Chawla , C. V. Ambarish , C. M. Chandrashekar

We present the key results from a comprehensive study of the refraction and focusing properties of a two-dimensional dodecagonal photonic ``quasicrystal'' (PQC), carried out via both full-wave numerical simulations and microwave…

The temporal characterization of ultrafast laser pulses has become a cornerstone capability of ultrafast optics laboratories and is routine both for optimizing laser pulse duration and designing custom fields. Beyond pure temporal…

Optics · Physics 2020-10-28 Spencer W. Jolly , Olivier Gobert , Fabien Quéré

Photonic time-varying systems have attracted significant attention owing to their rich physics and potential opportunities for new and enhanced functionalities. In this context, the duality of space and time in wave physics has been…

Optics · Physics 2022-09-13 Zeki Hayran , Jacob B. Khurgin , Francesco Monticone

Using the Floquet Hamiltonian derived based on the time-dependent perturbation theory, we investigated the quasienergy bands of a one-dimensional time-Floquet photonic crystal. The time-Floquet photonic crystal contains two alternating…

Optics · Physics 2021-11-17 Neng Wang , Guo Ping Wang

Aperiodic crystals are the intermediates between strictly periodic crystalline matter and amorphous solids. The lack of translational symmetry combined with intrinsic long-range order endows aperiodic crystals with unique physical…

We examine the distinct discrete time crystals (DTCs) that emerge in the Lipkin-Meshkov-Glick model, subjected to spatially nonuniform periodic driving. Intriguingly, we demonstrate that by appropriately tailoring the drive protocol,…

Quantum Physics · Physics 2025-12-24 Shashank Mishra , Sayan Choudhury