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Floquet engineering of isolated systems is often based on the concept of the effective time-independent Floquet Hamiltonian, which describes the stroboscopic evolution of a periodically driven quantum system in steps of the driving period…

量子物理 · 物理学 2021-10-22 Alexander Schnell , Sergey Denisov , André Eckardt

We present a multiscale integrator for Hamiltonian systems with slowly varying quadratic stiff potentials that uses coarse timesteps (analogous to what the impulse method uses for constant quadratic stiff potentials). This method is based…

数值分析 · 数学 2011-04-14 Molei Tao , Houman Owhadi , Jerrold E. Marsden

We present an approach for efficiently simulating strongly damped quantum systems subjected to periodic driving, employing a periodic matrix product operator representation of the influence functional. This representation enables the…

量子物理 · 物理学 2026-04-17 Konrad Mickiewicz , Valentin Link , Walter T. Strunz

We study the scattering of photons from periodically modulated quantum-optical systems. For excitation-number conserving quantum optical systems, we connect the analytic structure of the frequency-domain N-photon scattering matrix of the…

量子物理 · 物理学 2020-09-16 Rahul Trivedi , Alex White , Shanhui Fan , Jelena Vuckovic

The exact nondipole minimal-coupling Hamiltonian for an atom interacting with an explicitly time- and space-dependent laser field is transformed into the rest frame of a classical free electron in the laser field, i.e., into the…

原子物理 · 物理学 2007-05-23 M. Forre , S. Selsto , J. P. Hansen , L. B. Madsen

A global solution of the Schr\"odinger equation for explicitly time-dependent Hamiltonians is derived by integrating the non-linear differential equation associated with the time-dependent wave operator. A fast iterative solution method is…

量子物理 · 物理学 2015-05-18 Arnaud Leclerc , Georges Jolicard

Motivated by recent experimental implementations of artificial gauge fields for gases of cold atoms, we study the scattering properties of particles that are subjected to time-periodic Hamiltonians. Making use of Floquet theory, we focus on…

量子气体 · 物理学 2015-03-12 Thomas Bilitewski , Nigel R. Cooper

Quantum emitters driven by resonant two-photon excitation are a leading source for deterministically generated entangled photon pairs, essential for scalable photonic quantum technologies. However, conventional resonant schemes are highly…

Quantum simulation with ultracold atoms provides a versatile platform to emulate condensed-matter models. In particular, momentum-space lattices enable the realization of programmable tight-binding Hamiltonians. Here, we generalize this…

量子气体 · 物理学 2026-04-28 D. Ronco , F. Arrouas , N. Ombredane , E. Flament , Q. Levoy , B. Peaudecerf , D. Guéry-Odelin

The classical and quantum dynamics in a high frequency field are found to be described by an effective time independent Hamiltonian. It is calculated in a systematic expansion in the inverse of the frequency ($\omega$) to order…

混沌动力学 · 物理学 2007-05-23 Saar Rahav , Ido Gilary , Shmuel Fishman

The response of a quadrupolar nucleus (nuclear spin with I>1/2) to an oscillating radio-frequency (RF) pulse/field is delicately dependent on the ratio of the quadrupolar coupling constant to the amplitude of the pulse in addition to its…

量子物理 · 物理学 2017-10-25 Vinay Ganapathy , Ramesh Ramachandran

We explore the statistical properties of energy transfer in ensembles of doubly-driven Random- Matrix Floquet Hamiltonians, based on universal symmetry arguments. The energy pumping efficiency distribution P(E) is associated with the…

介观与纳米尺度物理 · 物理学 2023-08-16 Christina Psaroudaki , Gil Refael

The Floquet-Magnus expansion is a widely used tool to derive effective descriptions of time-periodic quantum systems by approximating their dynamics with a time-independent Hamiltonian. However, its standard formulation is, strictly…

数学物理 · 物理学 2026-05-25 Daniel Burgarth , Robin Hillier , Davide Lonigro , Leonhard Richter

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…

介观与纳米尺度物理 · 物理学 2018-09-20 S. H. Kooi , A. Quelle , W. Beugeling , C. Morais Smith

Recent theoretical work on time-periodically kicked Hofstadter model found robust counter-propagating edge modes. It remains unclear how ubiquitously such anomalous modes can appear, and what dictates their robustness against disorder. Here…

量子气体 · 物理学 2014-11-13 Zhenyu Zhou , Indubala I. Satija , Erhai Zhao

We review recent work on low-frequency Floquet engineering and its application to quantum materials driven by light, emphasizing van der Waals systems hosting Moir\'e superlattices. These non-equilibrium systems combine the twist-angle…

介观与纳米尺度物理 · 物理学 2021-04-09 Martin Rodriguez-Vega , Michael Vogl , Gregory A. Fiete

Floquet-Bloch lattices are systems in which wave packets are subjet to periodic modulations both in time and space, showing rich dynamics. While this type of lattices is difficult to implement in solid-state physics, optical systems have…

We propose to combine the Floquet formalism for systems in ac fields with the dynamical mean-field theory to study correlated electron systems periodically driven out of equilibrium by external fields such as intense laser light. This…

强关联电子 · 物理学 2009-01-23 Naoto Tsuji , Takashi Oka , Hideo Aoki

Periodically driven systems provide a powerful platform for quantum multiparameter estimation. Constructing a static effective Hamiltonian in a proper rotating frame is commonly employed to assess the attainable precision. However, such an…

量子物理 · 物理学 2026-05-28 Yu Yang , Yuyang Tang , Pei Zhang , Fuli Li

Cavity optomechanics and electromechanics form an established field of research investigating the interactions between electromagnetic fields and the motion of quantum mechanical resonators. In many applications, linearised form of the…

量子物理 · 物理学 2020-06-18 Iivari Pietikäinen , Ondřej Černotík , Radim Filip