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Couplings between topological edge channels open electronic phases possessing nontrivial eigenmodes far beyond the noninteracting-edge picture. However, inelastic scatterings mask the eigenmodes' inherent features, often preventing us from…

Mesoscale and Nanoscale Physics · Physics 2024-09-11 Masayuki Hashisaka , Takuya Ito , Takafumi Akiho , Satoshi Sasaki , Norio Kumada , Naokazu Shibata , Koji Muraki

We find nonequilibrium phase transitions accompanied by multiple (nested) hysteresis behaviors in superconductors coupled to baths under a time-periodic light driving. The transitions are demonstrated with a full phase diagram in the domain…

Superconductivity · Physics 2025-12-23 Huanyu Zhang , Kazuaki Takasan , Naoto Tsuji

The emergence of non equilibrium topological phases in low dimensional systems offers an interesting route for material properties engineering. We analyze the dynamical modulation of two coupled one-dimensional chains, described by the…

Mesoscale and Nanoscale Physics · Physics 2022-03-30 Carla Borja , Esther Gutiérrez , Alexander López

In this study topological properties of static and dynamic Su-Schrieffer-Heeger models with staggered further neighbor hopping terms of different extents are investigated. Topological characterization of the static chiral models is…

Mesoscale and Nanoscale Physics · Physics 2025-10-17 Rittwik Chatterjee , Asim Kumar Ghosh

The manipulation of the helical edge states of two-dimensional topological insulators is crucial for the development of technological applications. Recently, an important step forward, namely, the experimental realization of a quantum point…

Mesoscale and Nanoscale Physics · Physics 2020-07-28 C. Fleckenstein , N. Traverso Ziani , L. Privitera , M. Sassetti , B. Trauzettel

Characterizing time-periodic Hamiltonians is pivotal for validating and controlling driven quantum platforms, yet prevailing and unadjusted reconstruction methods demand dense time-domain sampling and heavy post-processing. We introduce a…

Quantum Physics · Physics 2025-09-03 Keren Li

Results are presented for the optical Hall conductivity of a Floquet topological insulator (FTI) for an ideal closed quantum system, as well as an open system in a nonequilibrium steady-state with a reservoir. The steady-state, even for the…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 Hossein Dehghani , Aditi Mitra

A universal feature of topological insulators is that they cannot be adiabatically connected to an atomic limit, where individual lattice sites are completely decoupled. This property is intimately related to a topological obstruction to…

Mesoscale and Nanoscale Physics · Physics 2020-02-12 Masaya Nakagawa , Robert-Jan Slager , Sho Higashikawa , Takashi Oka

Periodically driven (Floquet) phases are attractive due to their ability to host unique physical phenomena with no static counterparts. We propose a general approach in nontrivially devising a square-root version of existing Floquet phases,…

Mesoscale and Nanoscale Physics · Physics 2022-08-25 Raditya Weda Bomantara

The fractional quantum Hall (FQH) effect gives rise to abundant topological phases, presenting an ultimate platform for studying the transport of edge states. Generic FQH edge contains multiple edge modes, commonly including the…

Mesoscale and Nanoscale Physics · Physics 2024-07-03 Misha Yutushui , Jinhong Park , Alexander D. Mirlin

We show that in quantum Hall systems at half-filling, edge potentials alone can drive transitions between the Pfaffian and anti-Pfaffian topological phases. We conjecture this is true in realistic systems even in the presence of weak bulk…

Strongly Correlated Electrons · Physics 2019-04-17 Bo Yang , Na Jiang , Xin Wan , Jie Wang , Zi-Xiang Hu

Floquet engineering, the control of quantum systems using periodic driving, is an old concept in condensed matter physics, dating back to ideas such as the inverse Faraday effect. There is a renewed interest in this concept owing to the…

Strongly Correlated Electrons · Physics 2018-12-20 Takashi Oka , Sota Kitamura

The main motivation of this article is to derive sufficient conditions for dynamical stability of periodically driven quantum systems described by a Hamiltonian H(t), i.e., conditions under which it holds sup_{t in R} | (psi(t),H(t) psi(t))…

Mathematical Physics · Physics 2009-11-13 Pierre Duclos , Eric Soccorsi , Pavel Stovicek , Michel Vittot

Periodically driven quantum systems, known as Floquet systems, have been a focus of non-equilibrium physics in recent years, thanks to their rich dynamics. Not only time-periodic systems exhibit symmetries similar to those in spatially…

Quantum Physics · Physics 2021-10-01 Guoqing Wang , Changhao Li , Paola Cappellaro

We investigate the structure of gapless edge modes propagating at the boundary of some fractional quantum Hall states. We show how to deduce explicit trial wavefunctions from the knowledge of the effective theory governing the edge modes.…

Mesoscale and Nanoscale Physics · Physics 2016-08-17 M. V. Milovanović , Th. Jolicœur

Engineering dissipative dynamics in open quantum systems is under active focus, especially in topological settings where resilient edge modes are expected to exhibit decay rates distinct from the bulk. In this letter, we propose an…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 Koustav Roy , Shahroze Shahab , Saurabh Basu

The theoretical treatment of quasi-periodically driven quantum systems is complicated by the inapplicability of the Floquet theorem, which requires strict periodicity. In this work we consider a quantum system driven by a bi-harmonic…

Statistical Mechanics · Physics 2018-06-26 David Cubero , Ferruccio Renzoni

Quasiperiodic systems in one dimension can host non-ergodic states, e.g. localized in position or momentum. Periodic quenches within localized phases yield Floquet eigenstates of the same nature, i.e. spatially localized or ballistic.…

Disordered Systems and Neural Networks · Physics 2023-09-15 Miguel Gonçalves , Pedro Ribeiro , Ivan M. Khaymovich

A Floquet quantum system is governed by a Hamiltonian that is periodic in time. Consider the space of piecewise time-independent Floquet systems with (geometrically) local interactions. We prove that for all but a measure zero set of…

Quantum Physics · Physics 2024-07-18 Yichen Huang

Photonic Floquet lattices provide an excellent platform for manipulating different topologically protect-ed edge states. However, anti-chiral edge states have not been discussed much in Floquet lattices. Here, we propose a waveguide…