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Verification, validation and uncertainty quantification (VVUQ) have become a common practice in thermal-hydraulics analysis. An important step in the uncertainty analysis is the sensitivity analysis of various uncertain input parameters.…

Computational Physics · Physics 2018-05-04 Guojun Hu , Tomasz Kozlowski

Light beams can be characterized by their complex spatial profiles in both intensity and phase. Analogous to time signals, which can be decomposed into multiple orthogonal frequency functions, a light beam can also be decomposed into a set…

The f-sum rule is introduced and its applications to electronic and vibrational modes are discussed. A related integral over the intra-band part of sigma(omega) which is also valid for correlated electrons, becomes just the kinetic energy…

Strongly Correlated Electrons · Physics 2007-05-23 D. van der Marel

The interaction of optical fields sculpted on the nano-scale with matter may not be described by the dipole approximation since the fields vary appreciably across the molecular length scale. Rather than incrementally adding higher…

Quantum Physics · Physics 2015-10-28 Vladimir Y. Chernyak , Prasoon Saurabh , Shaul Mukamel

During recent years interest has been rising for applications of vector light beams towards magnetic field sensing. In particular, a series of experiments were performed to extract information about properties of static magnetic fields from…

The possibility of focusing light to an ever tighter spot has important implications for many applications and fields of optics research, such as nano-optics and plasmonics, laser-scanning microscopy, optical data storage and many more. The…

We formulate an optimization problem of Hamiltonian design based on the variational principle. Given a variational ansatz for a Hamiltonian we construct a loss function to be minimised as a weighted sum of relevant Hamiltonian properties…

Quantum Physics · Physics 2020-09-02 Kiryl Pakrouski

Reward fine-tuning of diffusion and flow models and sampling from tilted or Boltzmann distributions can both be formulated as stochastic optimal control (SOC) problems, where learning an optimal generative dynamics corresponds to optimizing…

Optimization and Control · Mathematics 2026-04-13 Carles Domingo-Enrich , Jiequn Han

Reward fine-tuning has become a common approach for aligning pretrained diffusion and flow models with human preferences in text-to-image generation. Among reward-gradient-based methods, Adjoint Matching (AM) provides a principled…

Machine Learning · Computer Science 2026-05-19 Jeongwoo Shin , Dongsoo Shin , Yuchen Zhu , Wei Guo , Yongxin Chen , Joonseok Lee , Jaewoong Choi , Jaemoo Choi

A method for automatic computation of parameter derivatives of numerically computed light scattering signals is demonstrated. The finite-element based method is validated in a numerical convergence study, and it is applied to investigate…

Optics · Physics 2013-04-17 S. Burger , L. Zschiedrich , J. Pomplun , F. Schmidt , B. Bodermann

The formulation of the interaction of matter with singular light fields needs special care. In a recent article [Phys.~Rev.~A {\bf 91}, 033808 (2015)] we have shown that the Hamiltonian describing the interaction of a twisted light beam…

Optics · Physics 2017-02-01 G. F. Quinteiro , D. E. Reiter , T. Kuhn

We describe applications of two-dimensional subwavelength quantum emitter arrays as efficient optical elements in the linear regime. For normally incident light, the cooperative optical response, stemming from emitter-emitter dipole…

Quantum Physics · Physics 2023-02-15 Nico S. Bassler , Michael Reitz , Kai P. Schmidt , Claudiu Genes

We study optical spectra of finite electronic quantum systems at frequencies smaller than the plasma frequency using a quasi-classical approach. This approach includes collective effects and enables us to analyze how the nature of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Santer , B. Mehlig

The emission rate of a point dipole can be strongly increased in presence of a well-designed optical antenna. Yet, optical antenna design is largely based on radio-frequency rules, ignoring e.g.~ohmic losses and non-negligible field…

Optics · Physics 2017-11-29 Thorsten Feichtner , Silke Christiansen , Bert Hecht

Strong light-matter interactions facilitate not only emerging applications in quantum and non-linear optics but also modifications of materials properties. In particular the latter possibility has spurred the development of advanced…

Mesoscale and Nanoscale Physics · Physics 2021-08-17 Jakub Fojt , Tuomas P. Rossi , Tomasz J. Antosiewicz , Mikael Kuisma , Paul Erhart

The usual multipolar Hamiltonian for atom-light interaction features a non-relativistic moving atom interacting with electromagnetic fields which inherently follow Lorentzian symmetry. This combination can lead to situations where atoms…

Atomic Physics · Physics 2018-10-05 Matthias Sonnleitner , Stephen M. Barnett

In the optimization of turbomachinery components, shape sensitivities for fluid dynamical objective functions have been used for a long time. As peak stress is not a differential func- tional of the shape, such highly efficient procedures…

Numerical Analysis · Mathematics 2018-02-15 Hanno Gottschalk , Mohamed Saadi , Onur Tanil Doganay , Kathrin Klamroth , Sebastian Schmitz

There is a broad interest in enhancing the strength of light-atom interactions to the point where injecting a single photon induces a nonlinear material response. Here, we show theoretically that sub-Doppler-cooled, two-level atoms that are…

Atomic Physics · Physics 2014-07-28 Bonnie L. Schmittberger , Daniel J. Gauthier

The Fourier-based analysis customarily employed to analyze the dynamics of a simple pendulum is here revisited to propose an elementary iterative scheme aimed at generating a sequence of analytical approximants of the exact law of motion.…

Classical Physics · Physics 2013-03-21 Riccardo Borghi

We present an automatic, high-order accurate, and adaptive Brillouin zone integration algorithm for the calculation of the optical conductivity with a non-zero but small broadening factor $\eta$, focusing on the case in which a Hamiltonian…

Materials Science · Physics 2024-06-25 Lorenzo Van Muñoz , Jason Kaye , Alex Barnett , Sophie Beck
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