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We present a direct comparison between the stroboscopic and non-stroboscopic effective approaches for ultracold atoms in shaken honeycomb lattices, focusing specifically on the optimal driving introduced by A. Verdeny and F. Mintert [Phys.…

Quantum Gases · Physics 2024-06-11 Álvaro R. Puente-Uriona , Giulio Pettini , Michele Modugno

Quantum systems driven by a time-periodic field are a platform of condensed matter physics where effective (quasi)stationary states, termed "Floquet states", can emerge with external-field-dressed quasiparticles during driving. They appear,…

Quantum Physics · Physics 2023-10-27 Naoto Tsuji

We propose an effective field theory describing the time dependent fluctuations of electrons in conducting systems, generalizing the well known kinetic theory of fluctuations. On several examples, we show its equivalence, (when quantum…

Mesoscale and Nanoscale Physics · Physics 2009-03-22 D. B. Gutman , A. D. Mirlin , Yuval Gefen

The light propagating in a waveguide array or photonic lattice has become an ideal platform to control light and to mimic quantum behaviors in a classical system. We here investigate the propagation of light in a coupled waveguide array…

Quantum Physics · Physics 2018-02-06 Chao Ma , Yuan-Sheng Wang , Jun-Hong An

We study the dynamics and timescales of a periodically driven Fermi-Hubbard model in a three-dimensional hexagonal lattice. The evolution of the Floquet many-body state is analyzed by comparing it to an equivalent implementation in undriven…

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

Ultrafast characterization and control of many-body interactions and elementary excitations are critical to understanding and manipulating emergent phenomena in strongly correlated systems. In particular, spin interaction plays an important…

Strongly Correlated Electrons · Physics 2018-12-06 Yao Wang , Thomas P. Devereaux , Cheng-Chien Chen

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…

Atomic Physics · Physics 2009-11-07 Agapi Emmanouilidou , L. E. Reichl

We study a chain of periodically driven Rydberg atoms and identify a class of drive protocols for which the system exhibits emergent prethermal Bethe integrability at special drive frequencies. We provide a perturbative analytic expression…

Quantum Physics · Physics 2026-05-14 Saptadip Roy , Arnab Sen , Diptiman Sen , K. Sengupta

Controlling the decoherence induced by the interaction of quantum system with its environment is a fundamental challenge in quantum technology. Utilizing Floquet theory, we explore the constructive role of temporal periodic driving in…

Quantum Physics · Physics 2015-05-28 Chong Chen , Jun-Hong An , Hong-Gang Luo , C. P. Sun , C. H. Oh

We present a two-timescale Floquet method that allows one to apply the Kramers-Henneberger approach to short pulses and arbitrary laser frequencies. An efficient numerical procedure to propagate the Floquet Hamiltonian is provided that…

Atomic Physics · Physics 2018-02-06 Lukas Medišauskas , Ulf Saalmann , Jan-Michael Rost

Periodically driven quantum systems exhibit many fascinating phenomena absent in equilibrium systems, but their simulation is more challenging than that of static systems. Consequently, quantum simulation of these systems offers greater…

Quantum Physics · Physics 2025-06-03 Abhishek Kumar , Karunya Shirali , Nicholas J. Mayhall , Sophia E. Economou , Edwin Barnes

We extend previous work concerning rest-frame partial-wave mixing in Hamiltonian effective field theory to both elongated and moving systems, where two particles are in a periodic elongated cube or have nonzero total momentum, respectively.…

High Energy Physics - Lattice · Physics 2021-05-26 Yan Li , Jia-jun Wu , Derek B. Leinweber , Anthony W. Thomas

Periodically driven (Floquet) systems have been under active theoretical and experimental investigations. This paper aims at a systematic study in the following aspects of Floquet systems: (i) A systematic formulation of topological…

Strongly Correlated Electrons · Physics 2017-11-15 Shunyu Yao , Zhongbo Yan , Zhong Wang

We examine the notion and properties of the non-Hermitian effective Hamiltonian of an unstable system using as an example potential resonance scattering with a fixed angular momentum. We present a consistent self-adjoint formulation of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. V. Savin , V. V. Sokolov , H. -J. Sommers

We develop the Floquet-Magnus expansion for a classical equation of motion under a periodic drive that is applicable to both isolated and open systems. For classical systems, known approaches based on the Floquet theorem fail due to the…

Strongly Correlated Electrons · Physics 2018-11-13 Sho Higashikawa , Hiroyuki Fujita , Masahiro Sato

We study certain aspects of the effective, occasionally called collective, description of complex quantum systems within the framework of the path integral formalism, in which the environment is integrated out. Generalising the standard…

Statistical Mechanics · Physics 2007-05-23 U. Eckern , M. J. Gruber , P. Schwab

We study an integrable Hamiltonian reducible to free fermions which is subjected to an imperfect periodic driving with the amplitude of driving (or kicking) randomly chosen from a binary distribution like a coin-toss problem. The randomness…

Statistical Mechanics · Physics 2018-05-30 Utso Bhattacharya , Somnath Maity , Uddipan Banik , Amit Dutta

We propose a generic scattering matrix model implementable in photonics to engineer a new Floquet metallic phase that combines two distinct topological properties: the winding of the bulk bands and the existence of robust chiral edge…

Mesoscale and Nanoscale Physics · Physics 2022-03-07 Lavi Kumar Upreti , Clément Evain , Stephane Randoux , Pierre Suret , Alberto Amo , Pierre Delplace

Accurate modeling of driven light-matter interactions is essential for quantum technologies, where natural and synthetic atoms are used to store and process quantum information, mediate interactions between bosonic modes, and enable…

Quantum Physics · Physics 2025-09-04 Martin Jirlow , Kunal Helambe , Axel M. Eriksson , Simone Gasparinetti , Tahereh Abad