This article describes the use of an alternative expansion scheme called Floquet-Magnus expansion (FME) to study the dynamics of spin system in solid-state NMR. The main tool used to describe the effect of time-dependent interactions in NMR is the average Hamiltonian theory (AHT). However, some NMR experiments, such as sample rotation and pulse crafting, seem to be more conveniently described u...

For monotone linear differential systems with periodic coefficients, the (first) Floquet eigenvalue measures the growth rate of the system. We define an appropriate arithmetico-geometric time average of the coefficients for which we can prove that the Perron eigenvalue is smaller than the Floquet eigenvalue. We apply this method to Partial Differential Equations, and we use it for an age-struct...

Abstract Recent progress in nanophotonics and material science has inspired a strong interest optically-induced dynamics, opening new research directions the distinct fields of Floquet matter time metamaterials. phenomena are historically rooted condensed community, as they exploit periodic temporal drives to unveil novel phases matter, unavailable systems at equilibrium. In parallel, field met...

We introduce the concept of Floquet topologicalmagnons—amechanismbywhich a synthetic tunableDzyaloshinskii–Moriya interaction (DMI) can be generated in quantummagnets using circularly polarized electric (laser)field. The resulting effect is thatDiracmagnons and nodal-line magnons in two-dimensional and three-dimensional quantummagnets can be tuned tomagnon Chern insulators andWeylmagnons respec...

The application of spatially uniform light on conventional insulators can induce Floquet spectra with characteristics akin to those of topological insulators. We demonstrate that spatial modulation of light allows for remarkable control of the properties in these systems. We provide configurations to generate one-dimensional bulk modes, photoinduced currents, as well as fractionalized excitatio...

The Zeldovich hypothesis is revised and the meaning of quasi energy spectra is discussed. The observation of Floquet resonance for microobjects in quickly oscillating external fields might bring a new information about the time scale of hypothetical quantum jumps. PACS number(s): 42.50.Lc, 33.55.Be, 33.80.Ps, 42.62.-b. Preprint CINVESTAV: CIEA-FIS/97-06 ∗Depto. de Matemáticas, ITESM, Campus Est...

We introduce the concept of Floquet topologicalmagnons—amechanismbywhich a synthetic tunableDzyaloshinskii–Moriya interaction (DMI) can be generated in quantummagnets using circularly polarized electric (laser)field. The resulting effect is thatDiracmagnons and nodal-line magnons in two-dimensional and three-dimensional quantummagnets can be tuned tomagnon Chern insulators andWeylmagnons respec...

We introduce the concept of Floquet topologicalmagnons—amechanismbywhich a synthetic tunableDzyaloshinskii–Moriya interaction (DMI) can be generated in quantummagnets using circularly polarized electric (laser)field. The resulting effect is thatDiracmagnons and nodal-line magnons in two-dimensional and three-dimensional quantummagnets can be tuned tomagnon Chern insulators andWeylmagnons respec...

We introduce the concept of Floquet topologicalmagnons—amechanismbywhich a synthetic tunableDzyaloshinskii–Moriya interaction (DMI) can be generated in quantummagnets using circularly polarized electric (laser)field. The resulting effect is thatDiracmagnons and nodal-line magnons in two-dimensional and three-dimensional quantummagnets can be tuned tomagnon Chern insulators andWeylmagnons respec...

A methodology to calculate generalized coherent states for a periodically driven system is presented. We study wave packets constructed as a linear combination of suitable Floquet states of the three-dimensional Rydberg atom in a microwave field. The driven coherent states show classical space localization, spreading, and revivals and remain localized along the classical trajectory. The microwa...