Floquet theory as a computational tool

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August undefined, 2024

WebWe describe how classical Floquet theory may be utilized, in a continuation framework, to construct an efficient Fourier spectral algorithm for approximating periodic orbits. At each continuation step, only a single square matrix, whose size equals the dimension of the phase-space, needs to be factorized; the rest of the required numerical ... WebSep 19, 2024 · We achieve this goal with a combination of quantum optimal control theory and Floquet engineering. The power and versatility of this framework is demonstrated here by utilizing the independent-electron tight-binding description of the $\ensuremath{\pi}$ electronic system of graphene. ... 5 Center for Computational Sciences, University of ...

Floquet theory: a useful tool for understanding nonequilibrium dynamics

Webthe Floquet quasi-energy using iterative quantum phase estimation. b) Algorithm Fauseweh-Zhu-2. The Hilbert space is extended by Fourier expansion of the Hamiltonian. A … WebApr 1, 2016 · Section snippets Theoretical background. Floquet states. We consider quantum systems whose dynamics is determined by the time-dependent Schrödinger … cities \\u0026 local growth unit

Phys. Rev. A 103, 023713 (2024) - Floquet theory for temporal ...

WebJun 1, 2004 · It is described how classical Floquet theory may be utilized, in a continuation framework, to construct an efficient Fourier spectral algorithm for approximating periodic … WebThese mathematical and computational tools and related datasets will support policy makers for educational institutions, large companies, and governing bodies as they manage the economic and health impacts of COVID-19 as well as future pandemics. ... The first goal of the project is to extend Floquet theory of ordinary differential equations to ... WebNov 1, 2024 · H m n = ∫ 0 T < Ψ m ( t) H ( t) Ψ n ( t) > d t. It's basically the same matrix as the Floquet Hamiltonian without the k ω. Then calculate the eigenpairs again and chain … diary poll

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Calculating Floquet states of large quantum systems: A …

WebApr 7, 2024 · Here 'Floquet thermal' means locally infinite-temperature like state, and 'extensive' means there are as many LCQs as the number of degrees of freedom. The classification is not complete. There can be stable Floquet phases in non-interacting disordered Floquet systems, but the nature of the conserved quantities are yet to be … WebWe describe how classical Floquet theory may be utilized, in a continuation framework, to construct an efficient Fourier spectral algorithm for approximating periodic orbits. At each … cities \u0026 local growth unitWebFeb 10, 2024 · We develop the Landau-Zener transfer matrix theory for the instantaneous Floquet states (IFSs) for quantum systems driven by strong pulse lasers. Applying this theory to the pulse excitation probability in two-level quantum systems, we show unexpectedly good quantitative agreements for few-cycle pulses. This approach enables … diary posh

"WebMar 30, 2024 · Floquet States in Open Quantum Systems. 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. Although many existing works have treated closed systems, it is … " - Floquet theory as a computational tool

Floquet theory as a computational tool

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WebMar 30, 2024 · For this purpose, the Floquet theory provides us a recipe of obtaining a static effective Hamiltonian. Although many existing works have treated closed systems, … WebFloquet Theory and Stability In this chapter, the free-input periodic system x(t +1)=A(t)x(t) (3.1) is considered, with A(t)of constant dimension n×n. First, the properties of the mon-odromy matrix are pointed out. This opens the way to the celebrated Floquet theory, which deals with the problem of ﬁnding a periodic state–space ...

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WebJul 25, 2006 · Abstract. We describe how classical Floquet theory may be utilized, in a continuation framework, to construct an efficient Fourier spectral algorithm for approximating periodic orbits. At each continuation step, only a single square matrix, whose size equals … WebJul 25, 2024 · Using the tools of Floquet engineering, we design a scheme for high-fidelity quantum state manipulation, utilizing only the interactions available in the original …

WebNov 1, 2024 · H m n = ∫ 0 T < Ψ m ( t) H ( t) Ψ n ( t) > d t. It's basically the same matrix as the Floquet Hamiltonian without the k ω. Then calculate the eigenpairs again and chain them to get the proper eigenstates. Outside the resonant region, just calculate the expectation value. WebJul 12, 2008 · Many ecological systems experience periodic variability. Theoretical investigation of population and community dynamics in periodic environments has been hampered by the lack of mathematical tools …

WebMar 22, 2024 · Auburn University. Jan 2015 - May 20244 years 5 months. Auburn, Alabama. As a doctoral student, I served as a Graduate Teaching Assistant for several courses such as. • Kinematics and Dynamics ...

WebNov 9, 2024 · Parametrically excited linear systems with oscillatory coefficients have been generally modeled by Mathieu or Hill equations (periodic coefficients) because their stability and response can be determined by Floquét theory. However, in many cases, the parametric excitation is not periodic but consists of frequencies that are incommensurate, …

WebFloquet theory is a branch of the theory of ordinary differential equations relating to the class of solutions to periodic linear differential equations of the form ˙ = (), with () a … diary play storeWebUsing the Floquet formalism for periodically driven systems, we show that it is possible to dynamically control the Dzyaloshinskii-Moriya interaction in materials with magnetoelectric coupling. This is supported by numerical … diary playWebJun 15, 2024 · We present a numerical method to simulate non-equilibrium Floquet steady states of one-dimensional periodically-driven (Floquet) many-body systems coupled to a dissipative bath, called open-system Floquet DMRG (OFDMRG). This method is based on a matrix product operator ansatz for the Floquet density matrix in frequency-space, and … diary political and general news eventsWebNov 11, 2024 · Abstract. In this work, the authors draw comparisons between the Floquet theory and Normal Forms technique and apply them towards the investigation of stability bounds for linear time periodic systems. Though the Normal Forms technique has been predominantly used for the analysis of nonlinear equations, in this work, the authors … diary polar flowWebHigh speed machining using vertical CNC milling centres continues to be a popular approach in a variety of industries including aerospace,automobile,mould and die casting etc.Chatter oscillations have significant influence in restricting the metal removal rates of the machining process.The cutting process instability or chatter is assessed by prediction of … diary posts nameWebJun 1, 2004 · We describe how classical Floquet theory may be utilized, in a continuation framework, to construct an efficient Fourier spectral algorithm for approximating periodic … diary pocketWebMar 31, 2024 · The main tool for studying the stability of periodic orbits using Floquet theory is the principal fundamental matrix or the monodromy matrix M. This matrix plays a key role in the accurate stability analysis of switching systems [34,35,36]. The dynamics in the vicinity of a quasi-static periodic orbit can be expressed in the monodromy matrix as ... cities \\u0026 metropolitan areas of north america