Results 61 to 70 of about 748,632 (287)
Data-Driven Identification of Quadratic Representations for Nonlinear Hamiltonian Systems using Weakly Symplectic Liftings [PDF]
arXiv, 2023 We present a framework for learning Hamiltonian systems using data. This work is based on a lifting hypothesis, which posits that nonlinear Hamiltonian systems can be written as nonlinear systems with cubic Hamiltonians. By leveraging this, we obtain quadratic dynamics that are Hamiltonian in a transformed coordinate system.
arxiv
Advanced Photonics Research, EarlyView.The strong coupling is investigated as an effective method to modulate the second‐harmonic generation (SHG) in the defect mode and Tamm plasmon resonances. Throughout the entire anticrossing Rabi splitting process induced by strong coupling, the difference in SHG efficiency between two resonances can be modulated by up to two orders of magnitude ...
Ying Zhu +7 more
wiley +1 more source
Hamiltonian tomography: the quantum (system) measurement problem
New Journal of Physics, 2015 To harness the power of controllable quantum systems for information processing or quantum simulation, it is essential to be able to accurately characterise the system's Hamiltonian.
Jared H Cole
doaj +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2020 In this paper, we consider the following perturbed second-order Hamiltonian system $$ -\ddot{u}(t)+L(t)u=\nabla W(t,u(t))+\nabla G(t,u(t)), \qquad \forall \ t\in \mathbb{R}, $$ where $W(t,u)$ is subquadratic near origin with respect to $u$; the ...
Liang Zhang, Guanwei Chen
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Shadow Hamiltonians of structure-preserving integrators for Nambu mechanics [PDF]
Prog. Theor. Exp. Phys. 2024, 053A05 (2024)Symplectic integrators are widely implemented numerical integrators for Hamiltonian mechanics, which preserve the Hamiltonian structure (symplecticity) of the system. Although the symplectic integrator does not conserve the energy of the system, it is well known that there exists a conserving modified Hamiltonian, called the shadow Hamiltonian. For the
arxiv +1 more source
Stimulated Raman Scattering with Optical Vortex Beams
Advanced Photonics Research, EarlyView.This study presents exact analytical expressions for stimulated Raman scattering with Laguerre‐Gaussian beams, revealing signal dependence on topological and hyperbolic momentum. The results provide a theoretical foundation for coherent Raman imaging and detecting orbital angular momentum of light via structured light in nonlinear optics.
Minhaeng Cho
wiley +1 more source
On bi-Hamiltonian structure of some superintegrable systems [PDF]
arXiv, 2017 We discuss bi-Hamiltonian structures for integrable and superintegrable Hamiltonian system on the list of symplectic four-dimensional real Lie groups are classified by G. Ovando. In addition, we creat corresponding control matrix for obtained bi-Hamiltonian structures.
arxiv
Advanced Science, EarlyView.This paper introduces a novel M3D Oscillatory Ising Machine (OIM) utilizing FeFETs as in‐memory routing switches and biristors as oscillators. The system achieves precise control, scalability, and low power consumption, solving complex optimization problems like MaxCUT problem.
Joon Pyo Kim +8 more
wiley +1 more source
Advanced Science, EarlyView.A serrated leaf‐like nitrogen‐doped copper sulfide (N‐CuS) cathode with hybridized N 2p – S 3p orbitals is presented, mesopores for oxygen transport, and a five times larger electrochemical active surface area than Cu. In aerobic conditions, a zinc–air battery with N‐CuS achieves 788 mAh g⁻¹ and 916 Wh kg⁻¹, outperforming Pt/C+RuO₂.
Do Hwan Jung +8 more
wiley +1 more source
Linear type global centers of cubic Hamiltonian systems symmetric with respect to the x-axis
Electronic Journal of Differential Equations, 2020 A polynomial differential system of degree 2 has no global centers (that is, centers defined in all the plane except the fixed point). In this paper we characterize the global centers of cubic Hamiltonian systems symmetric with respect to the x-axis ...
Luis Barreira +2 more
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