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Twisting symmetries provides an efficient method to diagnose symmetry-protected topological (SPT) phases. In this paper, edge theories of (2+1)-dimensional topological phases protected by reflection as well as other symmetries are studied…

Strongly Correlated Electrons · Physics 2015-06-03 Gil Young Cho , Chang-Tse Hsieh , Takahiro Morimoto , Shinsei Ryu

Topological classifications of quantum critical systems have recently attracted growing interest, as they go beyond the traditional paradigms of condensed matter and statistical physics. However, such classifications remain largely…

Statistical Mechanics · Physics 2026-02-03 Sheng Yang , Hai-Qing Lin , Xue-Jia Yu

This paper demonstrates the existence of topological models with gapped edge states but protected extended bulk states against disorder. Such systems will be labeled as trivial by the current classification of topological insulators. Our…

Disordered Systems and Neural Networks · Physics 2010-11-25 Hadassah Shulman , Emil Prodan

A driven quantum system has been recently studied in the context of nonequilibrium phase transitions and their responses. In particular, for a periodically driven system, its dynamics are described in terms of the multi-dimensional Floquet…

Strongly Correlated Electrons · Physics 2023-03-08 HaRu K. Park , Junmo Jeon , Gil Young Cho , SungBin Lee

In symmetry protected topological (SPT) phases, the combination of symmetries and a bulk gap stabilizes protected modes at surfaces or at topological defects. Understanding the fate of these modes at a quantum critical point, when the…

Strongly Correlated Electrons · Physics 2021-10-06 Shang Liu , Hassan Shapourian , Ashvin Vishwanath , Max A. Metlitski

We study the stroboscopic dynamics of a periodically driven finite Rydberg chain with staggered ($\Delta$) and time-dependent uniform ($\lambda(t)$) detuning terms using exact diagonalization (ED). We show that at intermediate drive…

Strongly Correlated Electrons · Physics 2022-09-07 Bhaskar Mukherjee , Arnab Sen , K. Sengupta

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

We investigate the control of the parity-time ($\mathcal{PT}$)-symmetry breaking threshold in a periodically driven one-dimensional dimerized lattice with spatially symmetric gain and loss defects. We elucidate the contrasting roles played…

Quantum Physics · Physics 2025-08-28 Xinguang Li , Hongzheng Wu , Yangchun Zhao , Jinpeng Xiao , Yu Guo , Lei Li , Yajiang Chen , Xiaobing Luo

Sub-symmetry (SubSy) protected topological states represent a concept that goes beyond the conventional framework of symmetry-protected topological (SPT) phases, demonstrating that topological boundary states can remain robust even when the…

Symmetry-protected topological (SPT) phases are short-range entangled phases of matter with a non-local order parameter which are preserved under a local symmetry group. Here, by using unsupervised learning algorithm, namely the diffusion…

Strongly Correlated Electrons · Physics 2021-11-18 En-Jui Kuo , Hossein Dehghani

Topological phases feature robust edge states that are protected against the effects of defects and disorder. The robustness of these states presents opportunities to design technologies that are tolerant to fabrication errors and resilient…

Topological edge states arise in parity-time ($\mathcal{PT}$)-symmetric non-unitary quantum dynamics but have so far only been discussed in the $\mathcal{PT}$-symmetry-unbroken regime. Here we report the experimental detection of robust…

Quantum Physics · Physics 2019-06-19 Lei Xiao , Xingze Qiu , Kunkun Wang , Barry C. Sanders , Wei Yi , Peng Xue

Based on the Floquet scattering theory, we analytically investigate the topological spin pumping for an exactly solvable model. Floquet spin Chern numbers are introduced to characterize the periodically time-dependent system. The…

Mesoscale and Nanoscale Physics · Physics 2018-09-13 W. Y. Deng , W. Luo , H. Geng , M. N. Chen , L. Sheng , D. Y. Xing

The maximum entropy principle is foundational for statistical analyses of complex dynamics. This principle has been challenged by the findings of a previous work [arXiv:1701.07596], where it was argued that a quantum system driven in time…

Quantum Physics · Physics 2025-10-02 Saúl Pilatowsky-Cameo , Soonwon Choi , Wen Wei Ho

The topological orders in amorphous systems that lack crystalline symmetry have gained considerable attention recently. Here we propose the Floquet amorphous topological matter, among which the topological orders are explored in…

Mesoscale and Nanoscale Physics · Physics 2025-06-10 Peng He , Jing-Xin Liu , Hong Wu , Z. D. Wang

Topological insulators represent unique phases of matter with insulating bulk and conducting edge or surface states, immune to small perturbations such as backscattering due to disorder. This stems from their peculiar band structure, which…

Mesoscale and Nanoscale Physics · Physics 2013-10-01 Jérôme Cayssol , Balázs Dóra , Ferenc Simon , Roderich Moessner

We show that it is possible to have a topological phase in two-dimensional quasicrystals without any magnetic field applied, but instead introducing an artificial gauge field via dynamic modulation. This topological quasicrystal exhibits…

Mesoscale and Nanoscale Physics · Physics 2017-05-29 Miguel A. Bandres , Mikael C. Rechtsman , Mordechai Segev

One dimensional topological insulators are characterized by edge states with exponentially small energies. According to one generalization of topological phases to non-Hermitian systems, a finite system in a non-trivial topological phase…

Quantum Physics · Physics 2017-12-06 Lorenzo Campos Venuti , Zhengzhi Ma , Hubert Saleur , Stephan Haas

Topological systems are inherently robust to disorder and continuous perturbations, resulting in dissipation-free edge transport of electrons in quantum solids, or reflectionless guiding of photons and phonons in classical wave systems…

Materials Science · Physics 2018-07-04 Xiang Ni , Matthew Weiner , Andrea Alù , Alexander B. Khanikaev

We propose a simple setup of Rydberg atoms in a honeycomb lattice which gives rise to topologically protected edge states. The proposal is based on the combination of dipolar exchange interaction, which couples the internal angular momentum…

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