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The out-of-equilibrium dynamics of finite ultracold bosonic ensembles in periodically driven one-dimensional optical lattices is investigated. Our study reveals that the driving enforces the bosons in different wells to oscillate in-phase…

Quantum Gases · Physics 2017-10-31 S. I. Mistakidis , T. Wulf , A. Negretti , P. Schmelcher

We present a Floquet scattering theory of electron waiting time distributions in periodically driven quantum conductors. We employ a second-quantized formulation that allows us to relate the waiting time distribution to the Floquet…

Mesoscale and Nanoscale Physics · Physics 2014-04-10 David Dasenbrook , Christian Flindt , Markus Büttiker

Motivated by recent experimental findings for an organic superconductor, charge oscillations that emerge after a strong pulse of an oscillating electric field is applied are studied in electron systems in a superconducting phase on a…

Superconductivity · Physics 2018-11-06 Kenji Yonemitsu

We experimentally realized a time-periodically modulated 1D lattice for ultracold atoms featuring a pair of linear bands, each associated with a Floquet winding number: a topological invariant. These bands are spin-momentum locked and…

Quantum Gases · Physics 2022-08-31 Mingwu Lu , G. H. Reid , A. R. Fritsch , A. M. Piñeiro , I. B. Spielman

We show that the time-dependence of electromagnetic field in a parametrically modulated cavity can be effectively analyzed using a $Floquet$ $map$. The map relates the field states separated by one period of the drive; iterative application…

Quantum Physics · Physics 2019-04-17 Ivar Martin

Time-periodic driving facilitates a wealth of novel quantum states and quantum engineering. The interplay of Floquet states and strong interactions is particularly intriguing, which we study using time-periodic fields in a one-dimensional…

Quantum Gases · Physics 2021-07-27 S. Fazzini , P. Chudzinski , C. Dauer , I. Schneider , S. Eggert

Floquet (periodically driven) systems can give rise to unique non-equilibrium phases of matter without equilibrium analogs. The most prominent example is the realization of discrete time crystals. An intriguing question emerges: what other…

When a physical system is subjected to a strong external multi-frequency drive, its dynamics can be conveniently represented in the multi-dimensional Floquet lattice. The number of the Floquet lattice dimensions equals the number of {\em…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 Ivar Martin , Gil Refael , Bertrand Halperin

We propose a Floquet period-doubling time-crystal model based on a disordered interacting long-range spin chain where the periodic swapping of nearby spin couples is applied. This protocol can be applied to systems with any local spin…

Quantum Physics · Physics 2024-05-27 Roberto Gargiulo , Gianluca Passarelli , Procolo Lucignano , Angelo Russomanno

The classical Floquet theory allows to map a time-periodic system of linear differential equations into an autonomous one. By looking at it in a geometrical way, we extend the theory to a class of non-autonomous non-periodic equations. This…

Mathematical Physics · Physics 2025-10-01 Giuseppe Gaeta , Sebastian Walcher

Flat-band lattices hosting compact localized states are highly sensitive to external modulation, and the tailored design of a perturbation to imprint specific features becomes relevant. Here we show that periodic driving in the…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 Aamna Ahmed , Mónica Benito , Beatriz Pérez-González

We formulate a theory of bulk optical current for a periodically driven system, which accounts for the mixing of external drive and laser field frequencies and, therefore, the broadening of the harmonic spectrum compared to the undriven…

Mesoscale and Nanoscale Physics · Physics 2022-07-07 Abhishek Kumar , Yantao Li , Babak Seradjeh

Optical control and manipulation of cold atoms has become an important topic in condensed matter. Widely employed are optical lattice shaking experiments which allow the introduction of artificial gauge fields, the design of topological…

We investigate multi-"photon" interband excitation processes in an optical lattice that is driven periodically in time by a modulation of the lattice depth. Assuming the system to be prepared in the lowest band, we compute the excitation…

Quantum Gases · Physics 2016-09-16 Christoph Sträter , André Eckardt

The low energy continuum limit of graphene is effectively known to be modeled using Dirac equation in (2+1) dimensions. We consider the possibility of using modulated high frequency periodic driving of a two-dimension system (optical…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 Tridev Mishra , Tapomoy Guha Sarkar , Jayendra N. Bandyopadhyay

Disorder in a 1D quantum lattice induces Anderson localization of the eigenstates and drastically alters transport properties of the lattice. In the original Anderson model, the addition of a periodic driving increases, in a certain range…

Disordered Systems and Neural Networks · Physics 2017-11-17 O. S. Vershinina , E. A. Kozinov , T. V. Laptyeva , S. V. Denisov , M. V. Ivanchenko

We prove the multi-band Bloch oscillation and Stark ladder in the $nk$ and site representation from the Floquet theorem. The proof is also possible from the equivalence between the Floquet system, Bloch oscillation, and the rotator with…

Other Condensed Matter · Physics 2007-11-26 Tao Ma , Shu-Min Li

Bloch oscillations (BOs) refer to a periodically oscillatory motion of particle in lattice systems driven by a constant force. By temporally modulating acoustic waveguides, BOs can be generalized from spatial to frequency domain, opening…

Applied Physics · Physics 2019-06-12 Chengzhi Qin , Yugui Peng , Ying Li , Xuefeng Zhu , Bing Wang , Cheng-Wei Qiu , Peixiang Lu

We propose optical longitudinal conductivity as a realistic observable to detect light-induced Floquet band gaps in graphene. These gaps manifest as resonant features in the conductivity, when resolved with respect to the probing frequency…

Mesoscale and Nanoscale Physics · Physics 2023-08-09 Lukas Broers , Ludwig Mathey

We study the dc photocurrent induced by linearly polarized light in a multiband Dirac-electron system, focusing on the organic conductor $\alpha$-(BEDT-TTF)$_2$I$_3$. Utilizing perturbation theory, we predict the dependence of shift current…

Mesoscale and Nanoscale Physics · Physics 2023-11-21 Keisuke Kitayama , Masao Ogata