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The stroboscopic evolution of a time-periodically driven isolated quantum system can always be described by an effective time-independent Hamiltonian. Whether this concept can be generalized to open Floquet systems, described by a Markovian…

Quantum Physics · Physics 2020-03-11 Alexander Schnell , André Eckardt , Sergey Denisov

Floquet engineering provides an emerging pathway for tailoring the electronic states of quantum materials through time-periodic drive. A critical step along this direction is achieving light-induced modifications of the dynamical electronic…

Mesoscale and Nanoscale Physics · Physics 2026-04-10 Fei Wang , Xuanxi Cai , Wanying Chen , Jinxi Lu , Tianshuang Sheng , Xiao Tang , Jiansong Li , Hongyun Zhang , Shuyun Zhou

Within the Floquet theory of periodically driven quantum systems, the nonlinear single-spin dynamics under pulse of a circularly polarized electromagnetic field is analyzed. It is demonstrated that the field, first, lifts the spin…

Quantum Physics · Physics 2022-04-11 O. V. Kibis

The Floquet-Magnus expansion is a useful tool to calculate an effective Hamiltonian for periodically driven systems. In this study, we investigate the convergence of the expansion for a one-body nonlinear system in a continuous space, a…

Quantum Physics · Physics 2020-01-01 Taiki Haga

We develop a model of a quantum field confined within a cavity with a movable wall where the position of the wall is quantized. We obtain a full description of the dynamics of both the quantum field and the confining wall depending on the…

We consider the quantum transport in a tight-binding chain with a locally applied potential which is oscillating in time. The steady state for such a driven impurity can be calculated exactly for any energy and applied potential using the…

Mesoscale and Nanoscale Physics · Physics 2016-05-12 Daniel Thuberg , Sebastian A. Reyes , Sebastian Eggert

Using the density matrix formalism, we prove an existence theorem of the periodic steady-state for an arbitrary periodically-driven system. This state has the same period as the modulated external influence, and it is realized as an…

Atomic Physics · Physics 2016-02-17 V. I. Yudin , A. V. Taichenachev , M. Yu. Basalaev , D. Kovalenko

We develop a low-frequency perturbation theory in the extended Floquet Hilbert space of a periodically driven quantum systems, which puts the high- and low-frequency approximations to the Floquet theory on the same footing. It captures…

Mesoscale and Nanoscale Physics · Physics 2018-10-01 M. Rodriguez-Vega , M. Lentz , B. Seradjeh

Quantum systems can be dynamically controlled using time-periodic external fields, leading to the concept of Floquet engineering, with promising technological applications. Computing Floquet energy spectra is harder than only computing…

Quantum Physics · Physics 2023-07-26 Benedikt Fauseweh , Jian-Xin Zhu

We explore the impact of commensurate multifrequency driving protocols on the stability of topological edge modes in topological 1D systems of spinless fermions. Using Floquet theory, we show that all the topological phase transitions can…

Strongly Correlated Electrons · Physics 2021-01-04 Paolo Molignini

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 develop a Floquet scattering formalism for the description of quasistationary states of microwave photons in a one-dimensional waveguide interacting with a nonlinear cavity by means of a periodically modulated coupling. This model is…

Quantum Physics · Physics 2017-05-16 Mikhail Pletyukhov , Kim G. L. Pedersen , Vladimir Gritsev

We introduce a space-time Floquet operator, a generalization of the conventional Floquet operator, that captures the long-time behavior of space-time crystals - systems where spatial and temporal periodicities are intrinsically intertwined.…

Other Condensed Matter · Physics 2025-10-21 Abhijeet Melkani , Jayson Paulose

We study the approach to the adiabatic limit in periodically driven systems. Specifically focusing on a spin-1/2 in a magnetic field we find that, when the parameters of the Hamiltonian lead to a quasi-degeneracy in the Floquet spectrum,…

Quantum Physics · Physics 2017-10-18 Angelo Russomanno , Giuseppe E. Santoro

Floquet engineering of cavity magnon-polaritons by periodically modulating the magnon frequency has recently attracted much interest as a way to manipulate the energy spectrum of magnon-photon hybrid systems. However, modulating the…

Mesoscale and Nanoscale Physics · Physics 2026-05-08 L. Hackner , A. R. Myatt , W. Wustmann , N. J. Lambert

We investigate the out-of-equilibrium properties of a system of interacting bosons in a ring lattice. We present a Floquet driving that induces clockwise (counterclockwise) circulation of the particles among the odd (even) sites of the ring…

Quantum Gases · Physics 2019-10-16 Andrea Pizzi , Johannes Knolle , Andreas Nunnenkamp

We investigate flux qubits driven by a biharmonic magnetic signal, with a phase lag that acts as an effective time reversal broken parameter. The driving induced transition rate between the ground and the excited state of the flux qubit can…

Mesoscale and Nanoscale Physics · Physics 2017-01-25 Alejandro Ferrón , Daniel Domínguez , María José Sánchez

In isolated quantum many-body systems periodically driven in time, the asymptotic dynamics at late times can exhibit distinct behavior such as thermalization or dynamical freezing. Understanding the properties of and the convergence towards…

Strongly Correlated Electrons · Physics 2025-10-23 Luke Staszewski , Asmi Haldar , Pieter W. Claeys , Alexander Wietek

Near-resonant periodic driving of quantum systems promises the implementation of a large variety of novel effective Hamiltonians. The challenge of Floquet engineering lies in the preparation and measurement of the desired quantum state. We…

Gauge magnetic fields have a close relation to breaking time-reversal symmetry in condensed matter. In the present of the gauge fields, we might observe nonreciprocal and topological transport. Inspired by these, there is a growing effort…

Quantum Physics · Physics 2020-03-31 Xin Wang , Hong-Rong Li , Fu-Li Li