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Time-periodic driving fields could endow a system with peculiar topological and transport features. In this work, we find dynamically controlled localization transitions and mobility edges in non-Hermitian quasicrystals via shaking the…

Quantum Physics · Physics 2021-08-25 Longwen Zhou

Recent years have seen a strong interest in topological effects within periodically driven systems. In this work, we explore topological effects in two closely related 2-dimensional driven systems described by Floquet operators possessing…

Mesoscale and Nanoscale Physics · Physics 2014-11-19 Derek Y. H. Ho , Jiangbin Gong

We show that one-dimensional Floquet trimer arrays with periodically oscillating waveguides support two different and co-existing types of topological Floquet edge states in two different topological gaps in Floquet spectrum. In these…

Optics · Physics 2023-09-15 Shuang Shen , Yaroslav V. Kartashov , Yongdong Li , Yiqi Zhang

Periodically-tapered-waveguides technique is an emerging potential route to establish quasi-phase-matching schemes for efficient on-demand parametric interactions in third-order nonlinear materials. In this paper, I investigate this method…

Quantum Physics · Physics 2019-04-17 Mohammed F. Saleh

Topological properties of physical systems can lead to robust behaviors that are insensitive to microscopic details. Such topologically robust phenomena are not limited to static systems but can also appear in driven quantum systems. In…

Mesoscale and Nanoscale Physics · Physics 2010-12-14 Takuya Kitagawa , Erez Berg , Mark Rudner , Eugene Demler

The discovery of the quantised Hall effect, and its subsequent topological explanation, demonstrated the important role topology can play in determining the properties of quantum systems. This realisation led to the development of…

Experimental realizations of topological quantum systems and detections of topological invariants in ultracold atomic systems have been a greatly attractive topic. In this work, we propose a scheme to realize topologically different phases…

Quantum Gases · Physics 2017-07-19 Zhihao Xu , Yunbo Zhang , Shu Chen

Recently, several authors have investigated topological phenomena in periodically-driven systems of non-interacting particles. These phenomena are identified through analogies between the Floquet spectra of driven systems and the band…

Mesoscale and Nanoscale Physics · Physics 2013-07-26 Mark S. Rudner , Netanel H. Lindner , Erez Berg , Michael Levin

We study the dynamics of a localized spin-1/2 driven by a time-periodic magnetic field that undergoes a topological transition. Despite the strongly non-adiabatic effects dominating the spin dynamics, we find that the field's topology…

Mesoscale and Nanoscale Physics · Physics 2017-06-08 A. A. Reynoso , J. P. Baltanás , H. Saarikoski , J. E. Vázquez-Lozano , J. Nitta , D. Frustaglia

In this manuscript, we introduce an exact expression for the response of a semi-classical two-level quantum system subject to arbitrary periodic driving. Determining the transition probabilities of a two-level system driven by an arbitrary…

Quantum Physics · Physics 2025-11-07 Michael Warnock , David A. Hague , Vesna F. Mitrovic

The engineering of synthetic materials characterised by more than one class of topological invariants is one of the current challenges of solid-state based and synthetic materials. Using a synthetic photonic lattice implemented in a…

We investigate a quasi-periodically driven four-level system that serves as a temporal analog of topological phenomena found in four-band models with intertwined spin and orbital degrees of freedom. Under a two-tone drive in the…

Mesoscale and Nanoscale Physics · Physics 2026-05-12 Vansh Kaushik , Sayan Choudhury , Tanay Nag

Having the potential for performing quantum computation, topological superconductors have been generalized to the second-order case. The hybridization of different orders of topological superconductors is attractive because it facilitates…

Superconductivity · Physics 2023-06-19 Hong Wu , Jun-Hong An

Although topological artificial systems, like acoustic/photonic crystals and cold atoms in optical lattices were initially motivated by simulating topological phases of electronic systems, they have their own unique features such as the…

Other Condensed Matter · Physics 2021-08-12 L. B. Shao , Q. Liu , R. Xiao , Shengyuan A. Yang , Y. X. Zhao

We create hybrid topological-photonic localisation of light by introducing concepts from the field of topological matter to that of photonic crystal fiber arrays. S-polarized obliquely propagating electromagnetic waves are guided by…

Topological states of matter in non-Hermitian systems have attracted a lot of attention due to their intriguing dynamical and transport properties. In this study, we propose a periodically driven non-Hermitian lattice model in…

Mesoscale and Nanoscale Physics · Physics 2018-11-28 Longwen Zhou , Jiangbin Gong

We propose a class of photonic Floquet topological insulators based on staggered helical lattices and an efficient numerical method for calculating their Floquet bandstructure. The lattices support anomalous Floquet topological insulator…

Optics · Physics 2016-07-06 Daniel Leykam , M. C. Rechtsman , Y. D. Chong

We propose a system that exploits the fundamental features of topological photonics and synthetic dimensions to force many semiconductor laser resonators to synchronize, mutually lock, and under suitable modulation emit a train of…

Recently, we presented a two-dimensional (2D) model of a weak topological insulator formed by stacking an $N$ number of Su-Schrieffer-Heeger (SSH) chains \cite{Agrawal_2022-02}. We now study the influence of periodic driving on the…

Mesoscale and Nanoscale Physics · Physics 2023-12-06 Aayushi Agrawal , Jayendra N. Bandyopadhyay

We demonstrate the occurrence of a topological phase transition induced by an effective magnetic field in a two-dimensional electron gas with spin-orbit coupling and in proximity to an $s$-wave superconductor. The effective, perpendicular…

Mesoscale and Nanoscale Physics · Physics 2022-10-17 Paul Wenk , Milena Grifoni , John Schliemann
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