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Fractional order controllers become increasingly popular due to their versatility and superiority in various performance. However, the bottleneck in deploying these tools in practice is related to their analog or numerical implementation.…

Numerical Analysis · Mathematics 2021-01-28 Yiheng Wei , YangQuan Chen , Yingdong Wei , Xuefeng Zhang

We investigated the high-order harmonic generation (HHG) process of diatomic molecular ion $\mathrm{H}_2^+$ in non-Born-Oppenheimer approximations. The corresponding three-dimensional time-dependent Schr\"odinger equation is solved with…

Atomic Physics · Physics 2017-02-28 Mu-Zi Li , Guang-Rui Jia , Xue-Bin Bian

We demonstrate a simple method to improve the Lewenstein model for the description of high-order harmonic generation (HHG). It is shown that HHG spectra can be expressed as the product of a returning electron wave packet and the…

Atomic Physics · Physics 2007-07-31 Anh-Thu Le , Toru Morishita , C. D. Lin

High-order harmonic generation (HHG) with relativistically strong laser pulses is considered employing electron ionization-recollisions from multiply charged ions in counterpropagating, linearly polarized attosecond pulse trains. The…

Atomic Physics · Physics 2015-05-19 Markus C. Kohler , Michael Klaiber , Karen Z. Hatsagortsyan , Christoph H. Keitel

Using dynamical Hartree-Fock mean-field theory, we study the high-harmonic generation (HHG) in the fullerene molecules C$_{60}$ and C$_{70}$ under strong pump wave driving. We consider a strong-field regime and show that the output harmonic…

Atomic Physics · Physics 2021-10-04 H. K. Avetissian , A. G. Ghazaryan , G. F. Mkrtchian

In the present work, we investigate the computational efficiency afforded by higher-order finite-element discretization of the saddle-point formulation of orbital-free density functional theory. We first investigate the robustness of viable…

Computational Physics · Physics 2015-05-30 Phani Motamarri , Mrinal Iyer , Jaroslaw Knap , Vikram Gavini

Many recent studies on first-order methods (FOMs) focus on \emph{composite non-convex non-smooth} optimization with linear and/or nonlinear function constraints. Upper (or worst-case) complexity bounds have been established for these…

Optimization and Control · Mathematics 2023-07-18 Wei Liu , Qihang Lin , Yangyang Xu

Using thermal effective field theory, we present a self-consistent perturbative formulation of the Higgs phase sphaleron rate after a radiatively-induced first-order phase transition. This gauge-invariant formulation is based on…

High Energy Physics - Phenomenology · Physics 2025-06-03 Xu-Xiang Li , Michael J. Ramsey-Musolf , Tuomas V. I. Tenkanen , Yanda Wu

We investigate the feasibility of using high-harmonic generation (HHG) as a complementary probe of tunneling delay in strong-field ionization. By combining time--frequency analysis of HHG spectra obtained from full time-dependent…

Atomic Physics · Physics 2026-01-15 Amol R. Holkundkar

Using a fully real-space perspective on high harmonic generation (HHG) in solids, we examine the relationship between microscopic response, macroscopic propagation of this response to the far field, and the extremely short dephasing times…

We use modern dimensionally-reduced effective field theory methods, with careful attention to scale hierarchies, to analyze and catalog the types of first-order electroweak phase transitions that are possible in the Standard Model Effective…

High Energy Physics - Phenomenology · Physics 2025-12-01 Eliel Camargo-Molina , Rikard Enberg , Johan Löfgren

High-order harmonic generation (HHG) in gases leads to short-pulse extreme ultraviolet (XUV) radiation useful in a number of applications, for example, attosecond science and nanoscale imaging. However, this process depends on many…

The connection between gauge and Higgs sectors makes supersymmetric extensions of the Standard Model predictive frameworks for the derivation of Higgs masses. In this paper, we study the contamination of such predictions by…

High Energy Physics - Phenomenology · Physics 2021-08-18 Florian Domingo , Sebastian Paßehr

High harmonic generation (HHG) is used to measure the spectral phase of the recombination dipole matrix element (RDM) in argon over a broad frequency range that includes the 3p Cooper minimum (CM). The measured RDM phase agrees well with…

Atomic Physics · Physics 2015-06-17 S. B. Schoun , R. Chirla , J. Wheeler , C. Roedig , P. Agostini , L. F. DiMauro , K. J. Schafer , M. B. Gaarde

Momentum-based gradients are essential for optimizing advanced machine learning models, as they not only accelerate convergence but also advance optimizers to escape stationary points. While most state-of-the-art momentum techniques utilize…

Machine Learning · Computer Science 2025-05-20 Wei Zhang , Arif Hassan Zidan , Afrar Jahin , Yu Bao , Tianming Liu

We develop the geometric formulation of the Standard Model Effective Field Theory (SMEFT). Using this approach we derive all-orders results in the $\sqrt{2 \langle H^\dagger H \rangle}/\Lambda$ expansion relevant for studies of electroweak…

High Energy Physics - Phenomenology · Physics 2020-06-12 Andreas Helset , Adam Martin , Michael Trott

We report here on results of experimental-theoretical investigation of high-order harmonic generation (HHG) in layers of CdSe semiconductor quantum dots of different sizes and a reference bulk CdSe thin film. We observe a strong decrease in…

Without Borel or Pad$\acute{e}$ techniques, we show that for a divergent series with $n!$ large-order growth factor, the set of Hypergeometric series $_{k+1}F_{k-1}$ represents suitable approximants for which there exist no free parameters.…

High Energy Physics - Theory · Physics 2021-01-22 Abouzeid M. Shalaby

We present an exact closed form expression for the {\em finite temperature} first-order density matrix of a harmonically trapped ideal Fermi gas in any dimension. This constitutes a much sought after generalization of the recent results in…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Brandon P. van Zyl

This paper focuses on investigating high-order harmonic generation (HHG) in graphene quantum dots (GQDs) under intense near-infrared laser fields. To model the GQD and its interaction with the laser field, we utilize a mean-field approach.…

Mesoscale and Nanoscale Physics · Physics 2023-09-15 H. K. Avetissian , A. G. Ghazaryan , Kh. V. Sedrakian , G. F. Mkrtchian