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Floquet engineering or coherent time periodic driving of quantum systems has been successfully used to synthesize Hamiltonians with novel properties. In ultracold atomic systems, this has led to experimental realizations of artificial gauge…

Quantum Gases · Physics 2019-10-24 S. Subhankar , P. Bienias , P. Titum , T-C. Tsui , Y. Wang , A. V. Gorshkov , S. L. Rolston , J. V. Porto

Recent experiments, combing ultrafast strong-field irradiation of surfaces with time- and angle-resolved photoemission spectroscopy, allow for monitoring the time-dependent charge carrier dynamics and the build-up of transient sidebands due…

Mesoscale and Nanoscale Physics · Physics 2024-09-05 Yuriko Baba , Vanessa Junk , Wolfgang Hogger , Francisco Domínguez-Adame , Rafael A. Molina , Klaus Richter

We derive effective Floquet Hamiltonians for twisted bilayer graphene driven by circularly polarized light in two different regimes beyond the weak-drive, high frequency regime. First, we consider a driving protocol relevant for experiments…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Michael Vogl , Martin Rodriguez-Vega , Gregory A. Fiete

Subjecting a physical system to a time-periodic drive can substantially modify its properties and applications. This Floquet-engineering approach has been extensively applied to a wide range of classical and quantum settings in view of…

Optics · Physics 2023-11-21 Nathan Goldman

The design of time-independent effective Hamiltonians that describe periodically modulated systems, provides a promising approach to realize new forms of matter. This, so-called, Floquet engineering approach is currently limited to the…

Mesoscale and Nanoscale Physics · Physics 2018-09-18 Huanan Li , Boris Shapiro , Tsampikos Kottos

For a periodically driven quantum system an effective time-independent Hamiltonian is derived with an eigen-energy spectrum, which in the regime of large driving frequencies approximates the quasi-energies of the corresponding Floquet…

Quantum Gases · Physics 2015-05-19 Andreas Hemmerich

Floquet insulators are periodically driven quantum systems that can host novel topological phases as a function of the drive parameters. These new phases exhibit features reminiscent of fermion doubling in discrete-time lattice fermion…

Quantum Physics · Physics 2023-07-12 Thomas Iadecola , Srimoyee Sen , Lars Sivertsen

We study the resonance phenomena for time periodic perturbations of a Hamiltonian $H$ on the Hilbert space $L^2(\mathbb R ^d)$. Here, resonances are characterized in terms of time behavior of the survival probability. Our approach uses the…

Spectral Theory · Mathematics 2013-05-29 Philippe Briet , Claudio Fernandez

We develop a theory to derive effective Floquet Hamiltonians in the weak drive and low-frequency regime. We construct the theory in analogy with band theory for electrons in a spatially-periodic and weak potential, such as occurs in some…

Mesoscale and Nanoscale Physics · Physics 2020-01-15 Michael Vogl , Martin Rodriguez-Vega , Gregory A. Fiete

Floquet topological photonic insulators characterized by periodically-varying Hamiltonians are known to exhibit much richer topological behaviors than static systems. In a Floquet insulator, the phase evolution of the Floquet-Bloch modes…

Optics · Physics 2024-06-19 Shirin Afzal , Vien Van

We consider Mott insulators driven by periodic coherent laser radiation, using both single orbital and multi-orbital models, noting that the latter is of more interest in solid state systems. We derive general expressions for the resulting…

Strongly Correlated Electrons · Physics 2019-05-15 Kasra Hejazi , Jianpeng Liu , Leon Balents

We extend the theory of the radiation pressure to include quadratic fluctuations in the position of a moving mirror. This enables the introduction of a generalized radiation pressure operator that captures higher-order effects in the…

Quantum Physics · Physics 2025-04-29 Salvatore Butera

Spatio-temporal modulation has shown great promise as a strong time-reversal symmetry breaking mechanism that enables integrated nonreciprocal devices and topological materials at optical frequencies. However, optical modulation has its own…

Optics · Physics 2019-01-04 Ian A. D. Williamson , S. Hossein Mousavi , Zheng Wang

A recent theoretical work [Nature Phys., 7, 490 (2011)] has demonstrated that external non-equilibrium perturbations may be used to convert a two-dimensional semiconductor, initially in a topologically trivial state, into a Floquet…

Mesoscale and Nanoscale Physics · Physics 2013-06-26 Netanel H. Lindner , Doron L. Bergman , Gil Refael , Victor Galitski

Quantum simulation has the potential to investigate gauge theories in strongly-interacting regimes, which are up to now inaccessible through conventional numerical techniques. Here, we take a first step in this direction by implementing a…

Floquet engineering offers a compelling approach for designing the time evolution of periodically driven systems. We implement a periodic atom-light coupling to realize Floquet atom optics on the strontium ${}^1\!S_0\,\text{-}\, {}^3\!P_1$…

The inelastic scattering and conversion process between photons and phonons by laser-driven quantum dots is analyzed for a honeycomb array of optomechanical cells. Using Floquet theory for an effective two-level system, we solve the related…

Mesoscale and Nanoscale Physics · Physics 2018-12-10 C. Wurl , H. Fehske

Applying a many mode Floquet formalism for magnetically trapped atoms interacting with a polychromatic rf-field, we predict a large two photon transition probability in the atomic system of cold $^{87}Rb$ atoms. The physical origin of this…

Atomic Physics · Physics 2018-01-17 A. Chakraborty , S. R. Mishra

We present a Floquet scheme for the ab-initio calculation of nonlinear optical properties in extended systems. This entails a reformulation of the real-time approach based on the dynamical Berry-phase polarisation [Attaccalite & Gr\"uning,…

Materials Science · Physics 2023-04-11 Ignacio M. Alliati , Myrta Grüning

We present a method for simulating any non-interacting and time-periodic tight-binding Hamiltonian in Fourier space using electric circuits made of inductors and capacitors. We first map the time-periodic Hamiltonian to a Floquet…

Mesoscale and Nanoscale Physics · Physics 2023-12-06 S. Sajad Dabiri , H. Cheraghchi
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