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Floquet engineering provides a powerful pathway for creating non-equilibrium phases of matter with tailored electronic structures and properties through time-periodic driving. As the original theoretical prototype, graphene established the…

Mesoscale and Nanoscale Physics · Physics 2026-03-31 Fei Wang , Xuanxi Cai , Xiao Tang , Jinxi Lu , Wanying Chen , Tianshuang Sheng , Runfa Feng , Haoyuan Zhong , Hongyun Zhang , Pu Yu , Shuyun Zhou

Ultracold atomic gas provides a useful tool to explore many-body physics. One of the recent additions to this experimental toolbox is the Floquet engineering, where periodic modulation of the Hamiltonian allows the creation of effective…

Brownian dynamics of Dirac fermions in twisted bilayer graphene is investigated within the framework of semiclassical relativistic Langevin equations. We find that under the influence of orthogonal, commensurate ac drives in the periodic…

Mesoscale and Nanoscale Physics · Physics 2023-08-31 Abdullah Yar

Floquet engineering provides an emerging pathway for tailoring the electronic states of quantum materials through time-periodic drive. A critical step along this direction is achieving light-induced modifications of the dynamical electronic…

Mesoscale and Nanoscale Physics · Physics 2026-04-10 Fei Wang , Xuanxi Cai , Wanying Chen , Jinxi Lu , Tianshuang Sheng , Xiao Tang , Jiansong Li , Hongyun Zhang , Shuyun Zhou

Hermitian Hamiltonians with time-periodic coefficients can be analyzed via Floquet theory, and have been extensively used for engineering Floquet Hamiltonians in standard quantum simulators. Generalized to non-Hermitian Hamiltonians,…

Quantum Physics · Physics 2024-02-16 Julia Cen , Yogesh N. Joglekar , Avadh Saxena

We derive an effective Hamiltonian for phase fluctuations in an s-wave superconductor starting from the attractive Hubbard model on a square lattice. In contrast to the common assumption, we find that the effective Hamiltonian is not the…

Superconductivity · Physics 2009-11-07 Wonkee Kim , J. P. Carbotte

We use Floquet theory and the High-Frequency expansion to derive an effective Hamiltonian for electrons coupled to an off resonant cavity mode, either in its vacuum or driven by classical light. For vacuum fields, we show that long-range…

Strongly Correlated Electrons · Physics 2025-08-14 Jules Sueiro , Gian Marcello Andolina , Marco Schirò

The dynamics of classical and quantum systems which are driven by a high frequency ($\omega$) field is investigated. For classical systems the motion is separated into a slow part and a fast part. The motion for the slow part is computed…

Chaotic Dynamics · Physics 2009-11-10 Saar Rahav , Ido Gilary , Shmuel Fishman

We study the topology of the Floquet states and time-averaged optical conductivity of the lattice model of a thin topological insulator subject to a circularly polarized light using the extended Kubo formalism. Two driving regimes, the…

Mesoscale and Nanoscale Physics · Physics 2023-08-16 S. Sajad Dabiri , H. Cheraghchi , A. Sadeghi

We consider the orbital effect of an in-plane magnetic field on electrons in bilayer graphene, deriving linear-in-field contributions to the low-energy Hamiltonian arising from the presence of either skew interlayer coupling or interlayer…

Mesoscale and Nanoscale Physics · Physics 2016-10-12 Narjes Kheirabadi , Edward McCann , Vladimir I. Fal'ko

Manipulating the circular polarization of light is of great importance in chemistry and biology, as chiral molecules exhibit different physiological properties when exposed to different circularly polarized waves. Here we suggest a…

Optics · Physics 2023-07-19 Tuo Chen , Sailing He

Recently, we presented a two-dimensional (2D) model of a weak topological insulator formed by stacking an $N$ number of Su-Schrieffer-Heeger (SSH) chains \cite{Agrawal_2022-02}. We now study the influence of periodic driving on the…

Mesoscale and Nanoscale Physics · Physics 2023-12-06 Aayushi Agrawal , Jayendra N. Bandyopadhyay

We investigate theoretically the spectrum of a graphene-like sample (honeycomb lattice) subjected to a perpendicular magnetic field and irradiated by circularly polarized light. This system is studied using the Floquet formalism, and the…

Mesoscale and Nanoscale Physics · Physics 2018-09-20 S. H. Kooi , A. Quelle , W. Beugeling , C. Morais Smith

This study explores the impact of a strong perpendicular laser field on the electronic structure and optical conductivity of bilayer graphene. Employing the Floquet-Bloch theorem and a four-band Hamiltonian model, we calculate the optical…

Mesoscale and Nanoscale Physics · Physics 2024-03-27 S. Sajad Dabiri , Hosein Cheraghchi , Fatemeh Adinehvand , Reza Asgari

Strong circularly polarized excitation opens up the possibility to generate and control effective magnetic fields in solid state systems, e.g., via the optical inverse Faraday effect or the phonon inverse Faraday effect. While these effects…

We present results for time-dependent electron transport in a ballistic graphene field-effect transistor with an ac-driven gate. Nonlinear response to the ac drive is derived utilizing Floquet theory for scattering states in combination…

Mesoscale and Nanoscale Physics · Physics 2016-10-05 Yevgeniy Korniyenko , Oleksii Shevtsov , Tomas Lofwander

Optical Hall conductivity, as directly related to Faraday rotation, is theoretically studied for bilayer and trilayer graphene. In bilayer graphene, the trigonal warping of the band dispersion greatly affects the resonance structures in…

Mesoscale and Nanoscale Physics · Physics 2012-10-17 Takahiro Morimoto , Mikito Koshino , Hideo Aoki

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…

Quantum Gases · Physics 2015-09-25 André Eckardt , Egidijus Anisimovas

We calculate the finite-frequency conductivity of bilayer graphene with a relative twist between the layers. The low frequency response at zero doping shows a flat conductivity with value twice that of the monolayer case and at higher…

Mesoscale and Nanoscale Physics · Physics 2013-03-12 Calvin J. Tabert , Elisabeth J. Nicol

We present a Floquet Schrieffer Wolff transform (FSWT) to obtain effective Floquet Hamiltonians and micro-motion operators of periodically driven many-body systems for any non-resonant driving frequency. The FSWT perturbatively eliminates…

Quantum Physics · Physics 2025-01-27 Xiao Wang , Fabio Pablo Miguel Méndez-Córdoba , Dieter Jaksch , Frank Schlawin
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