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We study the low-frequency dynamics of periodically driven one-dimensional systems hosting Floquet topological phases. We show, both analytically and numerically, in the low-frequency limit $\Omega\to0$, the topological invariants of a…

Mesoscale and Nanoscale Physics · Physics 2018-07-20 M. Rodriguez-Vega , B. Seradjeh

We extend the notion of fragile topology to periodically-driven systems. We demonstrate driving-induced fragile topology in two different models, namely, the Floquet honeycomb model and the Floquet $\pi$-flux square-lattice model. In both…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Rui-Xing Zhang , Zhi-Cheng Yang

We study the properties {of a conformal field theory} (CFT) driven periodically with a continuous protocol characterized by a frequency $\omega_D$. Such a drive, in contrast to its discrete counterparts (such as square pulses or periodic…

High Energy Physics - Theory · Physics 2021-06-11 Diptarka Das , Roopayan Ghosh , Krishnendu Sengupta

Floquet modulations often yield effective Hamiltonians not easily accessible in traditional time-dependent systems, which brings opportunities for exploring novel physics of quantum dynamics. We investigate a Floquet system exhibiting…

Quantum Physics · Physics 2025-09-17 Suyang Lin , Ming Gong , Congjun Wu

We consider random walk on a mildly random environment on finite transitive d- regular graphs of increasing girth. After scaling and centering, the analytic spectrum of the transition matrix converges in distribution to a Gaussian noise. An…

Probability · Mathematics 2011-11-10 Dimitrios Cheliotis , Balint Virag

In a system with a Dirac-like linear dispersion there are always states that fulfill the resonance condition for electromagnetic radiation of arbitrary frequency $\Omega$. When a flat band is present two kinds of resonant transitions are…

Mesoscale and Nanoscale Physics · Physics 2022-02-02 M. A. Mojarro , V. G. Ibarra-Sierra , J. C. Sandoval-Santana , R. Carrillo-Bastos , Gerardo G. Naumis

Explosive particle production due to parametric resonance is a crucial feature of reheating in an inflationary cosmology. Coherent oscillations of the inflaton field lead to a periodically varying mass in the evolution equation of matter…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. Zanchin , A. Maia , W. Craig , R. Brandenberger

The hoppings of non-interacting particles in the optical dice lattice result in the gapless dispersions in the band structure formed by the three lowest minibands. In our research, we find that once a periodic driving force is applied to…

Quantum Gases · Physics 2022-11-08 Shujie Cheng , Gao Xianlong

We study the effect of driving a two-dimensional honeycomb system out of equilibrium using an elliptically polarized light as a time-dependent perturbation. In particular, we try to understand the topological phase diagram of this driven…

Mesoscale and Nanoscale Physics · Physics 2023-02-07 Ranjani Seshadri

We theoretically studied the Floquet state of gated bilayer graphene, which is irradiated by normally incident focused Gaussian beam with orbital angular momentum (OAM). According to the Floquet theory, in-plane and out-of-plane electric…

Mesoscale and Nanoscale Physics · Physics 2024-04-02 Ma Luo

We report the emergence of electronic edge states in time-periodically driven strained armchair terminated graphene nanoribbons. This is done by considering a short-pulse spatial-periodic strain field. Then, the tight-binding Hamiltonian of…

Mesoscale and Nanoscale Physics · Physics 2017-10-18 Pedro Roman-Taboada , Gerardo G. Naumis

Floquet topological phases emerge when systems are periodically driven out-of-equilibrium. They gained attention due to their external control, which allows to simulate a wide variety of static systems by just tuning the external field in…

Quantum Physics · Physics 2024-11-20 Álvaro Gómez-León

Floquet systems are governed by periodic, time-dependent, Hamiltonians. Prima facie they should absorb energy from the external drives involved in modulating their couplings and heat up to infinite temperature. However this unhappy state of…

Strongly Correlated Electrons · Physics 2022-10-05 Fenner Harper , Rahul Roy , Mark S. Rudner , S. L. Sondhi

We show that a semi-Dirac (SD) system with an inversion symmetry breaking mass exhibits a topological phase transition when irradiated with off-resonant light. Using Floquet theory, we derive the band structure, Chern numbers, phase…

Mesoscale and Nanoscale Physics · Physics 2025-07-14 Vassilios Vargiamidis , P. Vasilopoulos , Neophytos Neophytou

We investigate the effects of periodic fields and disorder on topological properties of a Weyl-semimetal thin film. The two periodic fields, i.e., a periodic magnetic field and elliptically polarized light, are discussed respectively. By…

Mesoscale and Nanoscale Physics · Physics 2018-12-31 Rui Chen , Dong-Hui Xu , Bin Zhou

We consider a random time evolution operator composed of a circuit of random unitaries coupling even and odd neighboring spins on a chain in turn. In spirit of Floquet evolution, the circuit is time-periodic; each timestep is repeated with…

Statistical Mechanics · Physics 2018-10-31 Christoph Sünderhauf , David Pérez-García , David A. Huse , Norbert Schuch , J. Ignacio Cirac

Periodically driven Floquet quantum many-body systems have revealed new insights into the rich interplay of thermalization, and growth of entanglement. The phenomenology of dynamical freezing, whereby a translationally invariant many-body…

Quantum Physics · Physics 2026-03-12 Rohit Mukherjee , Haoyu Guo , Debanjan Chowdhury

Dynamic control of topological properties in materials is central to modern condensed matter physics, and Floquet engineering, utilizing periodic light fields, provides a promising avenue. Here, we use Floquet theory to theoretically study…

Strongly Correlated Electrons · Physics 2025-03-28 Pu Liu , Chaoxi Cui , Lei Li , Runze Li , Dong-Hui Xu , Zhi-Ming Yu

Photo-induced transition probabilities in graphene are studied theoretically from the viewpoint of Floquet theory. Conduction band populations are computed for a strongly, periodically driven graphene sheet under linear, circular, and…

Mesoscale and Nanoscale Physics · Physics 2016-11-16 Denis Gagnon , François Fillion-Gourdeau , Joey Dumont , Catherine Lefebvre , Steve MacLean

We study the topology of the Floquet states and time-averaged optical conductivity of the lattice model of a thin topological insulator subject to a circularly polarized light using the extended Kubo formalism. Two driving regimes, the…

Mesoscale and Nanoscale Physics · Physics 2023-08-16 S. Sajad Dabiri , H. Cheraghchi , A. Sadeghi
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