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For many physical quantities, theory supplies weak- and strong-coupling expansions of the types $\sum a_n \alpha ^n$ and $ \alpha ^p\sum b_n (\alpha^{-2/q) ^n$, respectively. Either or both of these may have a zero radius of convergence. We…

Quantum Physics · Physics 2009-10-28 H. Kleinert

We study the optical response of the alternating twisted trilayer graphene by making use of a unitary transformation for the trilayer Hamiltonian and the Kubo formulation of linear response theory. The layer-resolved optical conductivities…

Mesoscale and Nanoscale Physics · Physics 2025-01-07 Dionisios Margetis , Guillermo Gómez-Santos , Tobias Stauber

The miniaturization of diagnostic devices that exploit optical detection schemes requires the design of light-sources combining small size, high performance for effective excitation of chromophores, and mechanical flexibility for easy…

We address the question of different representation of Bloch states for lattices with a basis, with a focus on topological systems. The representations differ in the relative phase of the Wannier functions corresponding to the diffferent…

Strongly Correlated Electrons · Physics 2021-02-10 Balázs Hetényi , Yetkin Pulcu , Serkan Doğan

We present a first-principles scheme for incorporating many-body interactions into the unified description of the quadratic optical response to light of noncentrosymmetric crystals. The proposed method is based on time-dependent…

Mesoscale and Nanoscale Physics · Physics 2023-05-30 Peio Garcia-Goiricelaya , Jyoti Krishna , Julen Ibañez-Azpiroz

In this work we consider the problem of semi-active damping optimization of mechanical systems with fixed damper positions. Our goal is to compute a damping that is locally optimal with respect to the $\mathcal{H}_\infty$-norm of the…

Numerical Analysis · Mathematics 2020-02-04 Zoran Tomljanović , Matthias Voigt

We grow accustomed to the notion that optical susceptibilities can be treated as a local property of a medium. In the context of nonlinear optics, both Kerr and Raman processes are considered local, meaning that optical fields at one…

Applied Physics · Physics 2020-06-24 Shai Gertler , Prashanta Kharel , Eric A. Kittlaus , Nils T. Otterstrom , Peter T. Rakich

Navigation in Global Positioning Systems (GPS)-denied environments requires robust estimators reliant on fusion of inertial sensors able to estimate rigid-body's orientation, position, and linear velocity. Ultra-wideband (UWB) and Inertial…

Systems and Control · Electrical Eng. & Systems 2023-08-17 Hashim A. Hashim , Abdelrahman E. E. Eltoukhy , Kyriakos G. Vamvoudakis , Mohammed I. Abouheaf

We propose a technique for interpolating between probability distributions on discrete surfaces, based on the theory of optimal transport. Unlike previous attempts that use linear programming, our method is based on a dynamical formulation…

Analysis of PDEs · Mathematics 2018-09-20 Hugo Lavenant , Sebastian Claici , Edward Chien , Justin Solomon

Surface integral equation (SIE) methods are of great interest for the numerical solution of Maxwell's equations in the presence of homogeneous objects. However, existing SIE algorithms have limitations, either in terms of scalability,…

Computational Physics · Physics 2021-06-14 Shashwat Sharma , Piero Triverio

We propose new methodologies in multi-dimensional unfolding in dense environments, and show that incorporating auxiliary observables can significantly improve performance. Our approach builds on the ML-based OmniFold algorithm, which we…

High Energy Physics - Phenomenology · Physics 2025-07-10 Alexandre Falcão , Adam Takacs

A computational method to obtain optical conductivities from first principles is presented. It exploits a relation between the conductivity and the complex dielectric function, which is constructed from the full electronic band structure…

Materials Science · Physics 2011-09-14 Arno Schindlmayr

Distributed optical fiber Brillouin sensors detect the temperature and strain along a fiber according to the local Brillouin frequency shift, which is usually calculated by the measured Brillouin spectrum using Lorentzian curve fitting. In…

Signal Processing · Electrical Eng. & Systems 2020-01-13 Yiqing Chang , Hao Wu , Can Zhao , Li Shen , Songnian Fu , Ming Tang

We consider a wide class of semi linear Hamiltonian partial differential equa- tions and their approximation by time splitting methods. We assume that the nonlinearity is polynomial, and that the numerical tra jectory remains at least uni-…

Numerical Analysis · Mathematics 2009-12-16 Erwan Faou , Benoit Grebert

The automation of ab initio simulations is essential in view of performing high-throughput (HT) computational screenings oriented to the discovery of novel materials with desired physical properties. In this work, we propose algorithms and…

On-chip narrow linewidth microlasers with real-time wavelength tunability are highly desirable for various applications including precision metrology, quantum technology, and coherent information processing. Realizing such laser remains a…

In this article, we design and analyze a Hybrid High-Order (HHO) finite element approximation for a class of strongly nonlinear boundary value problems. We consider an HHO discretization for a suitable linearized problem and show its…

Numerical Analysis · Mathematics 2023-09-26 Gouranga Mallik , Thirupathi Gudi

We derive effective Hubbard-type Hamiltonians of $\kappa$-(ET)$_2X$, using an {\em ab initio} downfolding technique, for the first time for organic conductors. They contain dispersions of the highest occupied Wannier-type molecular orbitals…

Strongly Correlated Electrons · Physics 2010-10-20 Kazuma Nakamura , Yoshihide Yoshimoto , Taichi Kosugi , Ryotaro Arita , Masatoshi Imada

The Bethe-Salpeter equation is a widely used approach to describe optical excitations in bulk semiconductors. It leads to spectra that are in very good agreement with experiment, but the price to pay for such accuracy is a very high…

First-order optimization algorithms, often preferred for large problems, require the gradient of the differentiable terms in the objective function. These gradients often involve linear operators and their adjoints, which must be applied…

Optimization and Control · Mathematics 2017-07-10 James Folberth , Stephen Becker