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Holonomic quantum computing (HQC) functions by transporting an adiabatically degenerate manifold of computational states around a closed loop in a control-parameter space; this cyclic evolution results in a non-Abelian geometric phase which…

We develop a low-frequency perturbation theory in the extended Floquet Hilbert space of a periodically driven quantum systems, which puts the high- and low-frequency approximations to the Floquet theory on the same footing. It captures…

Mesoscale and Nanoscale Physics · Physics 2018-10-01 M. Rodriguez-Vega , M. Lentz , B. Seradjeh

Having the potential for performing quantum computation, topological superconductors have been generalized to the second-order case. The hybridization of different orders of topological superconductors is attractive because it facilitates…

Superconductivity · Physics 2023-06-19 Hong Wu , Jun-Hong An

Time-periodic (Floquet) systems are one of the most interesting nonequilibrium systems. As the computation of energy eigenvalues and eigenstates of time-independent Hamiltonians is a central problem in both classical and quantum…

Quantum Physics · Physics 2024-01-08 Kaoru Mizuta

We present a generic approach for treating the effect of nuclear motion in the high-order harmonic generation from polyatomic molecules. Our procedure relies on a separation of nuclear and electron dynamics where we account for the…

Atomic Physics · Physics 2010-04-21 C. B. Madsen , M. Abu-samha , L. B. Madsen

We present a numerical approach to calculate non-equilibrium eigenstates of a periodically time-modulated quantum system. The approach is based on the use of a chain of single-step time-independent propagating operators. Each operator is…

Statistical Mechanics · Physics 2016-04-08 T. V. Laptyeva , E. A. Kozinov , I. B. Meyerov , M. V. Ivanchenko , S. Denisov , P. Hänggi

We investigate the transition induced by disorder in a periodically-driven one-dimensional model displaying quantized topological transport. We show that, while instantaneous eigenstates are necessarily Anderson localized, the periodic…

Disordered Systems and Neural Networks · Physics 2020-01-01 Matteo M. Wauters , Angelo Russomanno , Roberta Citro , Giuseppe E. Santoro , Lorenzo Privitera

We consider the dynamics of a two-level system (qubit) driven by strong and short resonant pulses in the framework of Floquet theory. First we derive analytical expressions for the quasienergies and Floquet states of the driven system. If…

Quantum Physics · Physics 2016-12-13 Chunqing Deng , Feiruo Shen , Sahel Ashhab , Adrian Lupascu

Optical nonlinearity, especially the second harmonic generation (SHG), is generally weak in materials but has the potential to be applied in high-speed optical computers and energy-efficient artificial intelligence systems. In order to…

Strongly Correlated Electrons · Physics 2024-12-05 Junyi Shan

The recent discoveries of higher-order topological insulators (HOTIs) have shifted the paradigm of topological materials, which was previously limited to topological states at boundaries of materials, to those at boundaries of boundaries,…

Mesoscale and Nanoscale Physics · Physics 2020-12-17 Weiwei Zhu , Haoran Xue , Jiangbin Gong , Yidong Chong , Baile Zhang

We study the dynamics of two capacitively coupled quantum dots, each coupled to a lead. A Floquet Green's function approach described the system's dynamics, with the electron-electron interactions handled with the fluctuation-exchange…

Mesoscale and Nanoscale Physics · Physics 2023-07-25 Thomas D. Honeychurch , Daniel S. Kosov

Floquet theory and other established semiclassical approaches are widely used methods to predict the state of externally-driven quantum systems, yet, they do not allow to predict the state of the photonic driving field. To overcome this…

Quantum Physics · Physics 2024-07-26 Georg Engelhardt , JunYan Luo , Victor M. Bastidas , Gloria Platero

The long standing issue of separating resonant from non-resonant processes in extreme nonlinear optics is resolved. The theoretical formalism is applied to high harmonic generation (HHG) in solids and reveals a deeper view into the dominant…

Optics · Physics 2022-06-03 A. Thorpe , N. Boroumand , A. M. Parks , E. Goulielmakis , T. Brabec

In this article, we investigate periodically driven open quantum systems within the framework of Floquet-Lindblad master equations. Specifically, we discuss Lindblad master equations in the presence of a coherent, time-periodic driving and…

We investigate a class of periodically driven many-body systems that allows us to extend the phenomenon of prethermalization to the vicinity of isolated intermediate-to-low drive frequencies away from the high-frequency limit. We provide…

Statistical Mechanics · Physics 2021-05-05 Christoph Fleckenstein , Marin Bukov

We develop a trajectory-based approach for excited-state molecular dynamics simulations of systems subject to an external periodic drive. We combine the exact-factorization formalism, allowing to treat electron-nuclear systems in…

Chemical Physics · Physics 2021-03-31 Marco Schirò , Florian G. Eich , Federica Agostini

High-order harmonic generation (HHG) results from strong-field laser matter interaction and it is one of the main processes that are used to extract electron structural and dynamical information about the atomic or molecular targets with…

We give a general overview of the high-frequency regime in periodically driven systems and identify three distinct classes of driving protocols in which the infinite-frequency Floquet Hamiltonian is not equal to the time-averaged…

Quantum Gases · Physics 2015-08-20 Marin Bukov , Luca D'Alessio , Anatoli Polkovnikov

Intense time-periodic laser fields can transform the electronic structure of a solid into strongly modified Floquet-Bloch bands. While this suggests multiple pathways to induce electronic orders such as superconductivity or charge density…

Strongly Correlated Electrons · Physics 2019-01-14 Nagamalleswararao Dasari , Martin Eckstein

Employing non-Hermitian Floquet theory, the strong-field process of high harmonic (HH) generation by a classical continuous-wave field irradiating ground-state atom is discovered to be controllable by placing the irradiated atom inside a…

Quantum Physics · Physics 2025-09-05 Zohar Amitay , Nimrod Moiseyev
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