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We develop the Floquet-Bloch theory of noninteracting fermions on a periodic lattice in the presence of a constant electric field. As long as the field lies along a reciprocal lattice vector, time periodicity of the Bloch Hamiltonian is…

Mesoscale and Nanoscale Physics · Physics 2025-03-27 Christophe De Beule , Steven Gassner , Spenser Talkington , E. J. Mele

In the presence of a (time-dependent) macroscopic electric field the electron dynamics of dielectrics cannot be described by the time-dependent density only. We present a real-time formalism that has the density and the macroscopic…

Materials Science · Physics 2016-07-27 M. Grüning , D. Sangalli , C. Attaccalite

The diffraction pattern of a single non-periodic compact object, such as a molecule, is continuous and is proportional to the square modulus of the Fourier transform of that object. When arrayed in a crystal, the coherent sum of the…

This work collects some methodological insights for numerical solution of a "minimum-dispersion" control problem for nonlinear stochastic differential equations, a particular relaxation of the covariance steering task. The main ingredient…

Optimization and Control · Mathematics 2025-10-16 Roman Chertovskih , Nikolay Pogodaev , Maxim Staritsyn , A. Pedro Aguiar

Nonequilibrium quantum physics greatly simplifies in the case of time-periodic Hamiltonians, since Floquet theory provides an analogue to Bloch's theorem in the time domain. Still, the formal properties of Floquet many-body theory remain…

Strongly Correlated Electrons · Physics 2025-06-10 Ayan Pal , Erik G. C. P. van Loon , Ferdi Aryasetiawan

The effect of a time-periodic perturbation, such as radiation, on a system otherwise at equilibrium has been studied in the context of Floquet theory with stationary states replaced by Floquet states and the energy replaced by quasienergy.…

Mesoscale and Nanoscale Physics · Physics 2025-02-17 Ranjani Seshadri , T. Pereg-Barnea

We present a theoretical framework to model the electric response of cell aggregates. We establish a coarse representation for each cell as a combination of membrane and cytoplasm dipole moments. Then we compute the effective conductivity…

Computational Engineering, Finance, and Science · Computer Science 2020-08-28 Pouria A. Mistani , Samira Pakravan , Frederic G. Gibou

Optical conductivity measurements may provide access to distinct signatures of Floquet electronic phases, which are described theoretically by their quasienergy band structures. We characterize experimental observables of the Floquet…

Mesoscale and Nanoscale Physics · Physics 2023-07-27 Andrew Cupo , Joshuah T. Heath , Emilio Cobanera , James D. Whitfield , Chandrasekhar Ramanathan , Lorenza Viola

Nonlinear optics underpins a broad range of photonic technologies, from classical and quantum light sources to emerging nonlinear photonic neural networks. Yet, conventional nonlinear optical devices exhibit static functionality: their…

Based on a microscopic system reservoir model,where the associated bath is not in thermal equilibrium, we simulate the nonstationary Langevin dynamics and obtained the generalized nonstationary fluctuation dissipation relation (FDR) which…

We analyze the condition of photo-induced atomic-scale chirality and magnetic toroidal moment. By performing a high-frequency expansion in the Floquet formalism, we derive an effective static model Hamiltonian from the spinful $s$-$p$…

Strongly Correlated Electrons · Physics 2024-04-23 Satoru Hayami , Ryota Yambe , Hiroaki Kusunose

Technological advancements in generation of ultrafast and intense laser pulses have enabled the real-time observation and control of charge migration in molecules on their natural timescale, which ranges from few femtoseconds to several…

Optics · Physics 2025-02-25 Sucharita Giri

Optical response of free-electron gas leads to inherent nonlinear optical behaviour of nanostructured plasmonic materials enabled via both strong local field enhancements and inherent complex electron dynamics. We present a comprehensive…

Time crystals are physical systems whose time translation symmetry is spontaneously broken. Although the spontaneous breaking of continuous time-translation symmetry in static systems is proved impossible for the equilibrium state, the…

Quantum Gases · Physics 2020-08-19 Lingzhen Guo , Pengfei Liang

A new scheme for producing semidiscrete self-trapped vortices (\textquotedblleft swirling photon droplets\textquotedblright ) in photonic crystals with competing quadratic ($\chi ^{(2)}$) and self-defocusing cubic ($\chi ^{(3)}$)…

We propose and theoretically demonstrate nonreciprocal negative refraction enabled by time-varying photonic structures. By engineering temporal modulations at the interfaces of hyperbolic media, we achieve isolation between forward and…

Optics · Physics 2025-11-27 Mohammad R. Tavakol , Wenshan Cai

We study how the nonlinear propagation dynamics of bulk states may be used to distinguish topological phases of slowly-driven Floquet lattices. First, we show how instabilities of nonlinear Bloch waves may be used to populate Floquet bands…

We propose theoretically a method for the control of the frequency of the nonlinear optical response of a model nonlinear medium driven by an electric field and suggest an experimental realization on the basis of isotropic LiF, or NaCl…

Optics · Physics 2013-09-18 L. Chotorlishvili , A. Sukhov , S. Wimberger , J. Berakdar

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

A one-dimensional magnetophotonic crystal with a nonlinear defect placed either symmetrically or asymmetrically inside the structure is considered. Simultaneous effects of time-reversal nonreciprocity and nonlinear spatial asymmetry in the…

Optics · Physics 2012-07-03 Vladimir R. Tuz , Sergei V. Zhukovsky , Sergey L. Prosvirnin