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Reciprocity is a universal principle that has a profound impact on many areas of physics. A fundamental phenomenon in condensed-matter physics, optical physics and acoustics, arising from reciprocity, is the constructive interference of…

Optics · Physics 2016-02-24 Y. Bromberg , B. Redding , S. M. Popoff , H. Cao

This paper presents a numerical investigation of acoustic wave propagation in an obstacle with periodically time-modulated material parameters. We focus on the numerical construction of Floquet$-$Bloch solutions, which are quasi-periodic…

Numerical Analysis · Mathematics 2025-07-22 Jörg Nick , Ralf Hiptmair , Habib Ammari

We present theoretical study of revival phenomena for a wave packet initially well localized in a one-dimensional potential in the presence of an external periodic modulating field. The classical motion, revival, and super-revival time…

Quantum Physics · Physics 2010-10-01 Muhammad A. Shahzad

Motivated by recent experiments, the theoretical study of wave propagation in time varying materials is of current interest. Although significant in nearly all such experiments, material dispersion is commonly neglected in theoretical…

Optics · Physics 2025-11-25 Bryce Dixon , Calvin M. Hooper , Ian R. Hooper , Simon A. R. Horsley

Stunning progresses in the experimental resolution and control of natural or man-made complex systems at the level of their quantum mechanical constituents raises the question, across diverse subdisciplines of physics, chemistry and…

Quantum Physics · Physics 2019-04-26 Edoardo G. Carnio , Heinz-Peter Breuer , Andreas Buchleitner

Using the Floquet Hamiltonian derived based on the time-dependent perturbation theory, we investigated the quasienergy bands of a one-dimensional time-Floquet photonic crystal. The time-Floquet photonic crystal contains two alternating…

Optics · Physics 2021-11-17 Neng Wang , Guo Ping Wang

Floquet Majorana Fermions appear as steady states at the boundary of time-periodic topological phases of matter. In this work, we theoretically study the main features of these exotic topological phases in the periodically driven…

Strongly Correlated Electrons · Physics 2015-01-13 Mónica Benito , Álvaro Gómez-León , Victor Bastidas , Tobias Brandes , Gloria Platero

In Floquet engineering, periodic driving is used to realize novel phases of matter which are inaccessible in thermal equilibrium. For this purpose, the Floquet theory provides us a recipe of obtaining a static effective Hamiltonian.…

Statistical Mechanics · Physics 2023-03-29 Takashi Mori

Periodically driven systems provide a novel route to control the topology of quantum materials. In particular, Floquet theory allows an effective band description of periodically-driven systems through the Floquet Hamiltonian. Here, we…

Strongly Correlated Electrons · Physics 2024-03-20 Takahiro Anan , Takahiro Morimoto , Sota Kitamura

The changes in brightness of an astronomical source as a function of time are key probes into that source's physics. Periodic and quasi-periodic signals are indicators of fundamental time (and length) scales in the system, while stochastic…

Instrumentation and Methods for Astrophysics · Physics 2023-08-08 Matteo Bachetti , Daniela Huppenkothen

Quantum systems driven by a time-periodic field are a platform of condensed matter physics where effective (quasi)stationary states, termed "Floquet states", can emerge with external-field-dressed quasiparticles during driving. They appear,…

Quantum Physics · Physics 2023-10-27 Naoto Tsuji

Circadian clocks exhibit the robustness of period and plasticity of phase against environmental changes such as temperature and nutrient conditions. Thus far, however, it is unclear how both are simultaneously achieved. By investigating…

Molecular Networks · Quantitative Biology 2015-12-08 Tetsuhiro S. Hatakeyama , Kunihiko Kaneko

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 consider the effect of time-periodic forcing on a one-dimensional Schr{\"o}dinger equation with a topologically protected defect (edge) mode. The unforced system models a domain-wall or dislocation defect in a periodic structure, and it…

Analysis of PDEs · Mathematics 2023-03-07 Sameh N. Hameedi , Amir Sagiv , Michael I. Weinstein

Floquet driven systems represent an extremely interesting arena to study out-of-equilibrium phenomena. For instance, they provide realizations of discrete time crystals, where the discrete time translation symmetry of the periodic…

Quantum Physics · Physics 2022-04-25 J. R. M. de Nova , F. Sols

We investigate coherent multiple scattering effects in the random quantum kicked rotor model. By changing the starting time of the Floquet period, two new classes of models can be introduced that exhibit similar interference structures. For…

Every system in physics is described in terms of interacting elementary particles characterized by modulated spacetime recurrences. These intrinsic periodicities, implicit in undulatory mechanics, imply that every free particle is a…

Quantum Physics · Physics 2013-05-24 Donatello Dolce

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

Quantum systems can show qualitatively new forms of behavior when they are driven by fast time-periodic modulations. In the limit of large driving frequency, the long-time dynamics of such systems can often be described by a…

Quantum Gases · Physics 2015-04-01 N. Goldman , J. Dalibard , M. Aidelsburger , N. R. Cooper

We study an experimental setup in which a quantum probe, provided by a quasi-monomode guided atom laser, interacts with a static localized attractive potential whose characteristic parameters are tunable. In this system, classical mechanics…