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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

Bloch oscillations refer to the periodic oscillation of a wavepacket in a lattice under a constant force. Typically, the oscillation has a fundamental period that corresponds to the wavepacket traversing the first Brillouin zone once. Here…

Optics · Physics 2024-01-31 Naveed Khan , Peng Wang , Qidong Fu , Ce Shang , Fangwei Ye

We present a Floquet framework for controlling topological features of a one-dimensional optical lattice system with dual-mode resonant driving, in which both the amplitude and phase of the lattice potential are modulated simultaneously. We…

Quantum Gases · Physics 2024-09-20 Dalmin Bae , Junyoung Park , Myeonghyeon Kim , Haneul Kwak , Junhwan Kwon , Yong-il Shin

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

We identify a mapping between two-dimensional (2D) electron transport in a minimally twisted graphene bilayer and a 1D quantum walk, where one spatial dimension plays the role of time. In this mapping a magnetic field B perpendicular to the…

Mesoscale and Nanoscale Physics · Physics 2022-11-02 T. Vakhtel , D. O. Oriekhov , C. W. J. Beenakker

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…

Quantum Gases · Physics 2017-02-22 Viktor Novičenko , Egidijus Anisimovas , Gediminas Juzeliūnas

We present an experimental proposal to tune the effective lattice structure in twisted transition metal dichalcogenide (TMD) heterobilayers with time-periodic Floquet drive. We show that elliptically polarized light with sub-terahertz…

Mesoscale and Nanoscale Physics · Physics 2021-07-26 Rong-Chun Ge , Michael Kolodrubetz

Recently, polarons in the Peyrard-Bishop-Holstein model under DC electric fields were established to perform Bloch oscillations, provided the charge-lattice coupling is not large. In this work, we study this model when the charge is…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 C. Herrero-Gómez , E. Díaz , F. Domínguez-Adame

Transport properties of massive Dirac particles are investigated through an oscillating barrier. The Floquet quasienergies related to the time-dependent potential appear both in transmission and reflection as sidebands around the incoming…

Mesoscale and Nanoscale Physics · Physics 2015-03-04 Lóránt Zs. Szabó , Mihály G. Benedict , Attila Czirják , Péter Földi

In periodic quantum systems which are both homogeneously tilted and driven, the interplay between drive and Bloch oscillations controls transport dynamics. Using a quantum gas in a modulated optical lattice, we show experimentally that…

According to Faraday's law in classical physics, a varying magnetic field stimulates an electric eddy field. Intuitively, when a classical field is constant and imposed on a lattice, the Wannier-Stark ladders (WSL) can be established,…

Strongly Correlated Electrons · Physics 2026-04-15 H. P. Zhang , Z. Song

We study the response of an optical system with the Kerr nonlinearity demonstrating Bloch oscillations to a periodic train of coherent pulses. It has been found out that the intensity of the field excited in the system by pulses resonantly…

Chaotic Dynamics · Physics 2023-06-07 Alexey Verbitskiy , Alexey Yulin , Alexander Balanov

Floquet engineering, which involves controlling systems through time-periodic driving, is a method for coherently manipulating quantum materials and realizing dynamical states with novel functionalities. Most research in solid-state systems…

Mesoscale and Nanoscale Physics · Physics 2025-11-18 Sota Kitamura , Takashi Oka

In a system with a Dirac-like linear dispersion there are always states that fulfill the resonance condition for electromagnetic radiation of arbitrary frequency $\Omega$. When a flat band is present two kinds of resonant transitions are…

Mesoscale and Nanoscale Physics · Physics 2022-02-02 M. A. Mojarro , V. G. Ibarra-Sierra , J. C. Sandoval-Santana , R. Carrillo-Bastos , Gerardo G. Naumis

Achieving Bloch oscillations of free carriers under a direct current, a long-sought-after collective many-body behavior, has been challenging due to stringent constraints on the band properties. We argue that the flat bands in moir\'e…

Mesoscale and Nanoscale Physics · Physics 2021-06-30 Ali Fahimniya , Zhiyu Dong , Egor Kiselev , Leonid Levitov

We demonstrate how to control the spectra and current flow of Dirac electrons in both a graphene sheet and a topological insulator by applying either two linearly polarized laser fields with frequencies $\omega$ and $2\omega$ or a…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Pablo Rodriguez-Lopez , Joseph J. Betouras , Sergey E. Savel'ev

A connection has recently been proposed between periodically driven systems known as Floquet insulators in continuous time and static fermion theories in discrete time. This connection has been established in a $(1+1)$-dimensional free…

Quantum Physics · Physics 2025-04-09 Thomas Iadecola , Srimoyee Sen , Lars Sivertsen

Driving condensed matter systems with periodic electromagnetic fields can result in exotic states not found in equilibrium. Termed Floquet engineering, such periodic driving applied to electronic systems can tailor quantum effects to induce…

We propose and experimentally demonstrate a family of Floquet solitons in the bulk of a photonic topological insulator that have double the period of the drive. Our experimental system consists of a periodically-modulated honeycomb lattice…

Optics · Physics 2024-02-02 Sebabrata Mukherjee , Mikael C. Rechtsman

Floquet topological phases emerge when systems are periodically driven out-of-equilibrium. They gained attention due to their external control, which allows to simulate a wide variety of static systems by just tuning the external field in…

Quantum Physics · Physics 2024-11-20 Álvaro Gómez-León