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We show how second-order Floquet engineering can be employed to realize systems in which many-body localization coexists with topological properties in a driven system. This allows one to implement and dynamically control a…

Disordered Systems and Neural Networks · Physics 2020-05-20 Kevin S. C. Decker , Christoph Karrasch , Jens Eisert , Dante M. Kennes

We utilize an effective Hamiltonian formalism, within the Floquet scattering framework, to design a class of driving-induced non-reciprocal components with {\it minimal} complexity. In the high driving-frequency limit, where our scheme is…

Applied Physics · Physics 2019-03-13 Huanan Li , Tsampikos Kottos

In Floquet engineering, periodic driving is used to realize novel phases of matter which are inaccessible in thermal equilibrium. For this purpose, the Floquet theory provides us a recipe of obtaining a static effective Hamiltonian.…

Statistical Mechanics · Physics 2023-03-29 Takashi Mori

This article presents the application of continuous Floquet theory in solid-state NMR. Continuous Floquet theory extends traditional Floquet theory to non-continuous Hamiltonians, enabling the description of observable effects not fully…

Chemical Physics · Physics 2024-04-10 Matías Chávez , Matthias Ernst

We develop a systematic perturbative framework to engineer an arbitrary target Hamiltonian in the Floquet phase space of a periodically driven oscillator based on Floquet-Magnus expansion. The high-order errors in the engineered Floquet…

Quantum Physics · Physics 2025-02-27 Yingdan Xu , Lingzhen Guo

In the burgeoning field of quantum computing, the precise design and optimization of quantum pulses are essential for enhancing qubit operation fidelity. This study focuses on refining the pulse engineering techniques for superconducting…

Quantum Physics · Physics 2024-09-13 Annika S. Wiening , Joern Bergendahl , Vicente Leyton-Ortega , Peter Nalbach

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…

Quantum Physics · Physics 2021-10-22 Alexander Schnell , Sergey Denisov , André Eckardt

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…

Strongly Correlated Electrons · Physics 2019-05-15 Kasra Hejazi , Jianpeng Liu , Leon Balents

The concept of `Floquet engineering' relies on an external periodic drive to realise novel, effectively static Hamiltonians. This technique is being explored in experimental platforms across physics, including ultracold atoms, laser-driven…

Floquet engineering is a powerful method that can be used to modify the properties of interacting many-body Hamiltonians via the application of periodic time-dependent drives. Here we consider the physics of an inductively shunted…

Mesoscale and Nanoscale Physics · Physics 2026-03-19 Keiran Lewellen , Rohit Mukherjee , Haoyu Guo , Saswata Roy , Valla Fatemi , Debanjan Chowdhury

Properties of time-periodic Hamiltonians can be exploited to increase the dephasing time of qubits and to design protected one and two-qubit gates. Recently, Huang et al. [Phys. Rev. Applied 15, 034065 (2021)] have shown that time-dependent…

The nonlinear effect of a driving force in periodically driven quantum many-body systems can be systematically investigated by analyzing the effective Floquet Hamiltonian. In particular, under an appropriate definition of the effective…

Quantum Physics · Physics 2021-04-01 Kentaro Sugimoto , Seiji Yunoki

Coherent optical manipulation of electronic bandstructures via Floquet Engineering is a promising means to control quantum systems on an ultrafast timescale. However, the ultrafast switching on/off of the driving field comes with questions…

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…

Mathematical Physics · Physics 2026-05-25 Daniel Burgarth , Robin Hillier , Davide Lonigro , Leonhard Richter

We demonstrate Floquet engineering in a basic yet scalable 2D architecture of individually trapped and controlled ions. Local parametric modulations of detuned trapping potentials steer the strength of long-range inter-ion couplings and the…

We present a unitary control pulse design method for a scalable quantum computer architecture based on electron spins in lateral quantum dots. We employ simultaneous control of spin interactions and derive the functional forms of spin…

Quantum Physics · Physics 2024-02-14 Bohdan Khromets , Zach D. Merino , Jonathan Baugh

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…

Quantum Gases · Physics 2026-04-28 D. Ronco , F. Arrouas , N. Ombredane , E. Flament , Q. Levoy , B. Peaudecerf , D. Guéry-Odelin

The concept of Floquet engineering is to subject a quantum system to time-periodic driving in such a way that it acquires interesting novel properties. It has been employed, for instance, for the realization of artificial magnetic fluxes in…

Quantum Gases · Physics 2020-03-11 Gaoyong Sun , André Eckardt

We propose a method to parametrically excite low frequency collective modes in an interacting many body system using a Floquet driving at optical frequencies with a modulated amplitude. We demonstrate that it can be used to design plasmonic…

Strongly Correlated Electrons · Physics 2025-04-18 Egor I. Kiselev , Mark S. Rudner , Netanel H. Lindner

The implementation of time-evolution operators $U(t)$, called Hamiltonian simulation, is one of the most promising usage of quantum computers. For time-independent Hamiltonians, qubitization has recently established efficient realization of…

Quantum Physics · Physics 2023-03-29 Kaoru Mizuta , Keisuke Fujii