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For ultrashort VUV pulses with a pulse length comparable to the orbital time of the bound electrons they couple to we propose a simplified envelope Hamiltonian. It is based on the Kramers-Henneberger representation in connection with a…

原子物理 · 物理学 2018-01-09 Koudai Toyota , Ulf Saalmann , Jan M. Rost

We develop the Landau-Zener transfer matrix theory for the instantaneous Floquet states (IFSs) for quantum systems driven by strong pulse lasers. Applying this theory to the pulse excitation probability in two-level quantum systems, we show…

介观与纳米尺度物理 · 物理学 2022-08-15 Tatsuhiko N. Ikeda , Satoshi Tanaka , Yosuke Kayanuma

Topological materials, known for their edge states robust against local perturbations, hold promise for next-generation quantum technologies, but remain scarce in nature and challenging to realize in static systems. The Su-Schrieffer-Heeger…

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…

强关联电子 · 物理学 2019-05-15 Kasra Hejazi , Jianpeng Liu , Leon Balents

We present a brief overview of some of the analytic perturbative techniques for the computation of the Floquet Hamiltonian for a periodically driven, or Floquet, quantum many-body system. The key technical points about each of the methods…

强关联电子 · 物理学 2021-09-08 Arnab Sen , Diptiman Sen , K. Sengupta

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…

介观与纳米尺度物理 · 物理学 2018-09-18 Huanan Li , Boris Shapiro , Tsampikos Kottos

In this paper, we introduce the Floquet Ehrenfest and Floquet surface hopping approaches to study the nonadiabatic dynamics in the laser-dressed solid systems. We demonstrate that these two approaches can be formulated in both real and…

化学物理 · 物理学 2024-04-22 Jingqi Chen , Yu Wang , Wenjie Dou

We propose a method to obtain Floquet states---also known as light-induced states---and their quasi-energies from real-time wavefunctions without solving the Floquet equation. This is useful for the analysis of various phenomena in…

原子物理 · 物理学 2017-11-21 V. Kapoor , D. Bauer

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…

介观与纳米尺度物理 · 物理学 2020-07-01 Michael Vogl , Martin Rodriguez-Vega , Gregory A. Fiete

We study the scattering of an electron from a one dimensional inverted Gaussian atomic potential in the presence of strong time periodic electric fields. Using Floquet theory, we construct the Floquet Scattering matrix in the…

原子物理 · 物理学 2009-11-07 Agapi Emmanouilidou , L. E. Reichl

We develop a low-frequency perturbation theory in the extended Floquet Hilbert space of a periodically driven quantum systems, which puts the high- and low-frequency approximations to the Floquet theory on the same footing. It captures…

介观与纳米尺度物理 · 物理学 2018-10-01 M. Rodriguez-Vega , M. Lentz , B. Seradjeh

We derive a systematic high-frequency expansion for the effective Hamiltonian and the micromotion operator of periodically driven quantum systems. Our approach is based on the block diagonalization of the quasienergy operator in the…

量子气体 · 物理学 2015-09-25 André Eckardt , Egidijus Anisimovas

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…

强关联电子 · 物理学 2024-03-20 Takahiro Anan , Takahiro Morimoto , Sota Kitamura

Floquet engineering in quantum simulation employs externally applied high-frequency pulses to dynamically design steady-state effective Hamiltonians. Such protocols can be used to enlarge the space of Hamiltonians but approximations often…

量子物理 · 物理学 2025-12-29 Ryan Scott , Bryce Gadway , V. W. Scarola

We propose an implementation of a method based on Fourier analysis to obtain the Floquet characteristic exponents for periodic homogeneous linear systems, which shows a high precision. This implementation uses a variational principle to…

数值分析 · 数学 2017-05-04 Manuel Gadella , Luis Pedro Lara

Stimulated by the recent progress in engineering topological band structures in cold atomic gases, we study the dynamic topological phenomena for atoms loaded in a periodically driven optical lattice. When the frequency of the periodic…

量子气体 · 物理学 2022-05-02 De-Huan Cai , Wei Yi

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…

介观与纳米尺度物理 · 物理学 2020-01-15 Michael Vogl , Martin Rodriguez-Vega , Gregory A. Fiete

We consider a quantum system periodically driven with a strength which varies slowly on the scale of the driving period. The analysis is based on a general formulation of the Floquet theory relying on the extended Hilbert space. It is shown…

量子气体 · 物理学 2017-02-22 Viktor Novičenko , Egidijus Anisimovas , Gediminas Juzeliūnas

We consider a monoenergetic beam of moving charged particles interacting with two separated oscillating electric fields. Time-periodic linear potential is assumed to model the light-particle interaction using a nonrelativistic, quantum…

量子物理 · 物理学 2018-07-02 Lóránt Zs. Szabó , Mihály G. Benedict , Péter Földi

The quantitative modeling and design of modern short-pulse fiber lasers cannot be performed with averaged models because of large variations in the pulse parameters within each round trip. Instead, lumped models obtained by concatenating…

数值分析 · 数学 2025-08-06 Vrushaly Shinglot , John Zweck
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