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Floquet spin chains have been a venue for understanding topological states of matter that are qualitatively different from their static counterparts by, for example, hosting $\pi$ edge modes that show stable period-doubled dynamics. However…

Strongly Correlated Electrons · Physics 2022-02-24 Daniel J. Yates , Alexander G. Abanov , Aditi Mitra

Certain periodically driven quantum many-particle systems in one dimension are known to exhibit edge modes that are related to topological properties and lead to approximate degeneracies of the Floquet spectrum. A similar situation occurs…

Strongly Correlated Electrons · Physics 2020-01-28 Daniel J. Yates , Fabian H. L. Essler , Aditi Mitra

We study the robustness of the Floquet quantum Ising model against integrability-breaking perturbations, focusing on the phase hosting both Majorana zero and $\pi$ modes. A recent work [Phys. Rev. B 110, 075117, (2024)] observed that the…

Strongly Correlated Electrons · Physics 2026-02-24 Felix Möckel , Harald Schmid , Felix von Oppen

$\pi$ modes are unique topological edge states appearing in Floquet systems with periodic modulations of the underlying lattice structure in evolution variable, such as dynamically modulated Su-Schrieffer-Heeger (SSH) lattices. These edge…

Optics · Physics 2024-09-09 Shuang Shen , Yaroslav V. Kartashov , Yongdong Li , Meng Cao , Yiqi Zhang

We explore oscillatory behaviour in a family of periodically driven spin chains which are subject to a weak measurement followed by post-selection. We discover a transition to an oscillatory phase as the strength of the measurement is…

Quantum Physics · Physics 2023-06-23 Vikram Ravindranath , Xiao Chen

The stability and dynamics of almost strong zero and $\pi$ modes in weakly non-integrable Floquet spin chains are investigated. Such modes can also be viewed as localized Majorana modes at the edge of a topological superconductor.…

Strongly Correlated Electrons · Physics 2023-08-10 Hsiu-Chung Yeh , Achim Rosch , Aditi Mitra

Time-periodic (Floquet) topological phases of matter exhibit bulk-edge relationships that are more complex than static topological insulators and superconductors. Finding the edge modes unique to driven systems usually requires numerics.…

Quantum Gases · Physics 2016-12-28 Indubala I. Satija , Erhai Zhao

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

Floquet states of periodically driven systems could exhibit rich topological properties. Many of them are absent in their static counterparts. One such example is the chiral edge states in anomalous Floquet topological insulators, whose…

Mesoscale and Nanoscale Physics · Physics 2018-07-03 Longwen Zhou , Jiangbin Gong

One-dimensional Floquet topological superconductors possess two types of degenerate Majorana edge modes at zero and $\pi$ quasieneriges, leaving more room for the design of boundary time crystals and quantum computing schemes than their…

Mesoscale and Nanoscale Physics · Physics 2023-09-06 Hailing Wu , Shenlin Wu , Longwen Zhou

We explore topological edge states in periodically driven nonlinear systems. Based on a self-consistency method adjusted to periodically driven systems, we obtain stationary states associated with topological phases unique to Floquet…

Pattern Formation and Solitons · Physics 2025-01-10 Ken Mochizuki , Kaoru Mizuta , Norio Kawakami

Recent progresses on Floquet topological phases have shed new light on time-dependant quantum systems, among which one-dimensional (1D) Floquet systems have been under extensive theoretical research. However, an unambiguous experimental…

The period-doubling oscillation emerges with the coexistence between zero and {\pi} modes in Floquet topological insulator. Here, utilized the flexibility of the circuit, we construct the Floquet circuit with frequency-synthetic dimension…

Mesoscale and Nanoscale Physics · Physics 2024-08-06 Bo Lv , Shiyun Xia , Ye Tian , Ting Liu , Hongyang Mu , Zhichao Shen , Sijie Wang , Zheng Zhu , Huibin Tao , Fanyi Meng , Jinhui Shi

Majorana edge modes are candidate elements of topological quantum computing. In this work, we purpose a Floquet engineering approach to generate arbitrarily many non-Hermitian Majorana zero and $\pi$ modes at the edges of a one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2020-03-17 Longwen Zhou

We study a realistic Floquet topological superconductor, a periodically driven nanowire proximitized to an equilibrium s-wave superconductor. Due to both strong energy and density fluctuations caused from the superconducting proximity…

Mesoscale and Nanoscale Physics · Physics 2021-03-09 Zhesen Yang , Qinghong Yang , Jiangping Hu , Dong E. Liu

Topologically protected edge states exactly at topological phase boundaries challenge the conventional belief that topological states must be associated with a bulk energy gap. Because periodically driven (Floquet) systems host unusually…

Statistical Mechanics · Physics 2025-05-26 Longwen Zhou , Jiangbin Gong , Xue-Jia Yu

Recent theoretical work on time-periodically kicked Hofstadter model found robust counter-propagating edge modes. It remains unclear how ubiquitously such anomalous modes can appear, and what dictates their robustness against disorder. Here…

Quantum Gases · Physics 2014-11-13 Zhenyu Zhou , Indubala I. Satija , Erhai Zhao

Floquet systems with periodically varying in time parameters enable realization of unconventional topological phases that do not exist in static systems with constant parameters and that are frequently accompanied by appearance of novel…

A time periodic driving on a topologically trivial system induces edge modes and topological properties. In this work we consider triplet and singlet superconductors subject to periodic variations of the chemical potential, spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2015-09-09 P. D. Sacramento

Nonequilibrium Floquet topological phases due to periodic driving are known to exhibit rich and interesting features with no static analogs. Various known topological invariants usually proposed to characterize static topological systems…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Muhammad Umer , Raditya Weda Bomantara , Jiangbin Gong
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